Electronics Basics - Revision history

DErik at 21:05, 23 December 2025

2025-12-23T21:05:02Z

DErik at 15:49, 23 January 2024

2024-01-23T15:49:05Z

← Older revision		Revision as of 08:49, 23 January 2024
Line 25:		Line 25:
	* Voltage:		* Voltage:
	:This is the electrical potential difference between two charged elements. In electronic engineering and research, the volt is defined as one joule per coulomb. But for model railroading, we rarely use joules or coulombs in our parlance, idioms, or vernacular exposition.		:This is the electrical potential difference between two charged elements. In electronic engineering and research, the volt is defined as one joule per coulomb. But for model railroading, we rarely use joules or coulombs in our parlance, idioms, or vernacular exposition.
	* Energy vs Power<ref name="byjus" /><ref name="energyeducation" />:		* Energy, Power, and Work<ref name="byjus" /><ref name="energyeducation" />:
	:Energy and power are not the same, and the distinction is rather subtle. Energy is the ability to do work, or to provide power. Power is the actual performance of work over time; that is, power is the rate of doing work or using energy. For example, energy is the charge present on a battery, and power is the battery's ability to deliver that charge over time to some circuit components.		:Energy and power are not the same, and the distinction is rather subtle. Energy is the ability to do work, or to provide power. Power is the actual performance of work over time; that is, power is the rate of doing work or using energy. For example, energy is the charge present on a battery, and power is the battery's ability to deliver that charge over time to some circuit components. In terms of an equation: power multiplied by the time it is applied to something equals the energy supplied. Energy and work are related in that work is the actual energy used. Work itself isn't present unless some object changes position. (This may seem a bit arbitrary in definition an usage, but is helpful in dealing with the mathematics - something this article is not going to delve into very far). In electronics, the movement of the electrons or ions (current) is necessary to perceive work
	:In electronics, ~~energy~~ is measured in watts. As an example; the power of a battery is often expressed in kilowatts. You often may see amp hours or milliamp hours on batteries. This is ~~also~~ a way or expressing the ~~power~~ of the battery~~, but they are not exactly the same~~. The relationship is that ~~watts~~ can be converted to		:In electronics, power is measured in watts. As an example; the power of a battery is often expressed in kilowatts. You often may see amp hours or milliamp hours on batteries. This is a way or expressing how long the initial charge of the battery will last. The relationship is that amp-hours can be converted to watts by multiplying it by the voltage rating of the battery. For example, as 9 volt battery having a rating of 625 milliamp-hours will have 5.625 watts available.
			:To make this a little clearer, let me define work: work is the application of a force on an object through a distance. In electronics, the force is the volt and the item being moved is the electron or ion in the materials of the circuit components.

DErik at 16:09, 7 January 2024

2024-01-07T16:09:54Z

← Older revision		Revision as of 09:09, 7 January 2024
Line 65:		Line 65:

	==Formulas==		==Formulas==
	First of all, why do you need to know any of these formulas? The answer is that in order to build a circuit, or repair an existing one, you need to know what value rating a component should be to properly work in the circuit. If you can find a circuit diagram for what you want to build or repair, then you should be able to get the values from the diagram. But if you don't have the diagram, or are building a new circuit, you will have to do some calculations. Of course, you will also have to do some measuring, with a mulitmeter, to get some of the values for components in an existing circuit. In other cases, like for a new circuit, you will need the data or specification sheets that are related to the components you will need, or be able to read the values printed on the components. Many of these formulas can be found on Wikipedia. I also found a consolidated reference on a ''BYJU's Learning'' web page<ref name="byjusformulas" />.		First of all, why do you need to know any of these formulas? The answer is that in order to build a circuit, or repair an existing one, you need to know what value rating a component should be to properly work in the circuit. If you can find a circuit diagram for what you want to build or repair, then you should be able to get the values from the diagram. But if you don't have the diagram, or are building a new circuit, you will have to do some calculations. Of course, you will also have to do some measuring, with a mulitmeter, to get some of the values for components in an existing circuit. In other cases, like for a new circuit, you will need the data or specification sheets that are related to the components you will need, or be able to read the values printed on the components. Many of these formulas can be found on Wikipedia. I also found a consolidated reference on a ''BYJU's Learning'' web page<ref name="byjusformulas" /> and on "The Engineering ToolBox" web site<ref name="engtools" />.
	* Resistance (R), voltage (V), and current (I) are pretty easy and all related to each other. The following three formulas should demonstrate that relationship (Ohn's Law):		* Resistance (R), voltage (V), and current (I) are pretty easy and all related to each other. The following three formulas should demonstrate that relationship (Ohn's Law):
	*voltage is current times resistance: <math>V = I R</math>		*voltage is current times resistance: <math>V = I R</math>
Line 91:		Line 91:
	<ref name="energyeducation">[https://energyeducation.ca/encyclopedia/Energy_vs_power#:~:text=Energy%20and%20power%20are%20closely,energy%20is%20moved%2C%20or%20used. ''Energy Education'' web site has a good discussion of energy versus power]</ref>		<ref name="energyeducation">[https://energyeducation.ca/encyclopedia/Energy_vs_power#:~:text=Energy%20and%20power%20are%20closely,energy%20is%20moved%2C%20or%20used. ''Energy Education'' web site has a good discussion of energy versus power]</ref>
	<ref name="byjusformulas">[https://byjus.com/electrical-formulas/ Electronic formulas provided by ''BYJU'S Learning'']</ref>		<ref name="byjusformulas">[https://byjus.com/electrical-formulas/ Electronic formulas provided by ''BYJU'S Learning'']</ref>
			<ref name="engtools">[https://www.engineeringtoolbox.com/electrical-formulas-d_455.html Electrical formulas provided by ''The Engineering ToolBox'']</ref>
	</references>		</references>
	<references/>		<references/>

DErik at 15:59, 7 January 2024

2024-01-07T15:59:14Z

← Older revision		Revision as of 08:59, 7 January 2024
Line 21:		Line 21:
	==Terms and concepts==		==Terms and concepts==
	Let's first consider the basic terms used in talking about electricity.		Let's first consider the basic terms used in talking about electricity.
	* Current:		* Current<ref name="current" />:
	:What exactly is current? In simple terms it is the flow of electrons or ions through a conductive medium. Simply, right? But one thing that confuses folks is: which way are the electons flowing? Typically, we consider the flow to be from the positive pole of an electrical source to the negative pole. But, to confuse things, the positive pole is actually deficient in electrons (or negatively charged ions), while the negative pole is saturated with them. So in strict physical terms, the flow of elections would be from the negative pole to the positive. Now, since I have confused you, ignore the reality of the situation and just consider that a current is simply the flow itself, and in actual use, the direction makes no difference. It is really the difference in electrical potential that is important. That is ...		:What exactly is current? In simple terms it is the flow of electrons or ions through a conductive medium. Simply, right? But one thing that confuses folks is: which way are the electons flowing? Typically, we consider the flow to be from the positive pole of an electrical source to the negative pole. But, to confuse things, the positive pole is actually deficient in electrons (or negatively charged ions), while the negative pole is saturated with them. So in strict physical terms, the flow of elections would be from the negative pole to the positive. Now, since I have confused you, ignore the reality of the situation and just consider that a current is simply the flow itself, and in actual use, the direction makes no difference. It is really the difference in electrical potential that is important. That is ...
	* Voltage:		* Voltage:
	:This is the electrical potential difference between two charged elements. In electronic engineering and research, the volt is defined as one joule per coulomb. But for model railroading, we rarely use joules or coulombs in our parlance, idioms, or vernacular exposition.		:This is the electrical potential difference between two charged elements. In electronic engineering and research, the volt is defined as one joule per coulomb. But for model railroading, we rarely use joules or coulombs in our parlance, idioms, or vernacular exposition.
			* Energy vs Power<ref name="byjus" /><ref name="energyeducation" />:
			:Energy and power are not the same, and the distinction is rather subtle. Energy is the ability to do work, or to provide power. Power is the actual performance of work over time; that is, power is the rate of doing work or using energy. For example, energy is the charge present on a battery, and power is the battery's ability to deliver that charge over time to some circuit components.
			:In electronics, energy is measured in watts. As an example; the power of a battery is often expressed in kilowatts. You often may see amp hours or milliamp hours on batteries. This is also a way or expressing the power of the battery, but they are not exactly the same. The relationship is that watts can be converted to


Line 60:		Line 63:
	* Inductor: A component that generates a magnetic field around itself when a current is passed through it. Often used as a trigger switch.		* Inductor: A component that generates a magnetic field around itself when a current is passed through it. Often used as a trigger switch.
	* Transformer: A device that converts the voltage of one AC circuit to another voltage in another circuit. The two circuits are not physically connected. They are connected by an electromagnetic field generated by one circuit and used to induce a current in the other circuit.		* Transformer: A device that converts the voltage of one AC circuit to another voltage in another circuit. The two circuits are not physically connected. They are connected by an electromagnetic field generated by one circuit and used to induce a current in the other circuit.

	==Formulas==		==Formulas==
	First of all, why do you need to know any of these formulas? The answer is that in order to build a circuit, or repair an existing one, you need to know what value rating a component should be to properly work in the circuit. If you can find a circuit diagram for what you want to build or repair, then you should be able to get the values from the diagram. But if you don't have the diagram, or are building a new circuit, you will have to do some calculations. Of course, you will also have to do some measuring, with a mulitmeter, to get some of the values for components in an existing circuit. In other cases, like for a new circuit, you will need the data or specification sheets that are related to the components you will need, or be able to read the values printed on the components.		First of all, why do you need to know any of these formulas? The answer is that in order to build a circuit, or repair an existing one, you need to know what value rating a component should be to properly work in the circuit. If you can find a circuit diagram for what you want to build or repair, then you should be able to get the values from the diagram. But if you don't have the diagram, or are building a new circuit, you will have to do some calculations. Of course, you will also have to do some measuring, with a mulitmeter, to get some of the values for components in an existing circuit. In other cases, like for a new circuit, you will need the data or specification sheets that are related to the components you will need, or be able to read the values printed on the components. Many of these formulas can be found on Wikipedia. I also found a consolidated reference on a ''BYJU's Learning'' web page<ref name="byjusformulas" />.
	* Resistance (R), voltage (V), and current (I) are pretty easy and all related to each other. The following three formulas should demonstrate that relationship (Ohn's Law):		* Resistance (R), voltage (V), and current (I) are pretty easy and all related to each other. The following three formulas should demonstrate that relationship (Ohn's Law):
	*voltage is current times resistance: <math>V = I R</math>		*voltage is current times resistance: <math>V = I R</math>
Line 82:		Line 86:

	=References and Sources=		=References and Sources=
			<references>
			<ref name="current">[https://en.wikipedia.org/wiki/Electric_current Wikipedia article on electric current]</ref>
			<ref name="byjus">[https://byjus.com/physics/work-energy-power/#:~:text=Work%2C%20Energy%20and%20Power%20are,done%20per%20unit%20of%20time. Description of work, energy, and power and how they are related by ''BYJU'S Learning'']</ref>
			<ref name="energyeducation">[https://energyeducation.ca/encyclopedia/Energy_vs_power#:~:text=Energy%20and%20power%20are%20closely,energy%20is%20moved%2C%20or%20used. ''Energy Education'' web site has a good discussion of energy versus power]</ref>
			<ref name="byjusformulas">[https://byjus.com/electrical-formulas/ Electronic formulas provided by ''BYJU'S Learning'']</ref>
			</references>
	<references/>		<references/>
	=Authors and Contributors=		=Authors and Contributors=
	*Author and editor: Don Erikstrup ([[User:DErik\|DErik]] ([[User talk:DErik\|talk]]) January 2024)		*Author and editor: Don Erikstrup ([[User:DErik\|DErik]] ([[User talk:DErik\|talk]]) January 2024)
	*Others: Please comment on this using the “discussion” tab above or send an email to [mailto:MRT-SIG@RCGRS.com?Subject=MRT-SIG:%20Structures&Body=Put%20your%20comments%20here. MRT SIG] . And contribute additional information here and in other articles.		*Others: Please comment on this using the “discussion” tab above or send an email to [mailto:MRT-SIG@RCGRS.com?Subject=MRT-SIG:%20Structures&Body=Put%20your%20comments%20here. MRT SIG] . And contribute additional information here and in other articles.

DErik at 07:50, 6 January 2024

2024-01-06T07:50:20Z

← Older revision		Revision as of 00:50, 6 January 2024
Line 4:		Line 4:
	<span style="font-family:serif; font-size:1.5em;">Article Synopsis<hr></span>		<span style="font-family:serif; font-size:1.5em;">Article Synopsis<hr></span>
	This article provides some basic information about electronics. It is intended for someone with very little understanding of electronic components. It provides descriptions of them, their usages, and how to work with them.		This article provides some basic information about electronics. It is intended for someone with very little understanding of electronic components. It provides descriptions of them, their usages, and how to work with them.
	[[Category:Works In Progress]] <span style="color:red;"><br>Under construction/modification by [[User:DErik\|DErik]] ([[User talk:DErik\|talk]]) 14:50, 3 January 2024 (PST)<br></span>		[[Category:Works In Progress]] <span style="color:red;"><br />Under construction/modification by [[User:DErik\|DErik]] ([[User talk:DErik\|talk]]) 14:50, 3 January 2024 (PST)<br /></span>
	{{rtoc}}		{{rtoc}}

Line 17:		Line 17:
	=Concepts and Definitions=		=Concepts and Definitions=
	As with any subject of study, one must first know what things are. Putting labels (names) on them helps provide a frame of reference for them. So here's a few terms and names you need to know. Explanations of these items will come later.		As with any subject of study, one must first know what things are. Putting labels (names) on them helps provide a frame of reference for them. So here's a few terms and names you need to know. Explanations of these items will come later.
	Some basic electronic concepts and ~~definition~~:		Some basic electronic concepts and definitions:

			==Terms and concepts==
			Let's first consider the basic terms used in talking about electricity.
			* Current:
			:What exactly is current? In simple terms it is the flow of electrons or ions through a conductive medium. Simply, right? But one thing that confuses folks is: which way are the electons flowing? Typically, we consider the flow to be from the positive pole of an electrical source to the negative pole. But, to confuse things, the positive pole is actually deficient in electrons (or negatively charged ions), while the negative pole is saturated with them. So in strict physical terms, the flow of elections would be from the negative pole to the positive. Now, since I have confused you, ignore the reality of the situation and just consider that a current is simply the flow itself, and in actual use, the direction makes no difference. It is really the difference in electrical potential that is important. That is ...
			* Voltage:
			:This is the electrical potential difference between two charged elements. In electronic engineering and research, the volt is defined as one joule per coulomb. But for model railroading, we rarely use joules or coulombs in our parlance, idioms, or vernacular exposition.


	==Units of measure==		==Units of measure==
	* '''Ohm: The measure of resistance to current flow in a circuit or across a component of a circuit.'''~~<br />~~The ohm (resistance) value on a schematic is usually spelled out as “ohms” or annotated with an upper case Greek omega: “Ω”. Since resistance values can be very large, the symbol may be preceded with a “k” for kilo-ohms (thousands) or “m” for mega-ohms (millions).~~<br />~~In electrical formulas, the letter “R” is used to represent ohms.		* '''Ohm: The measure of resistance to current flow in a circuit or across a component of a circuit.'''
	* '''Volt: The measure of electromotive force in a circuit.'''~~<br />~~The voltage value on a schematic is usually annotated with a “V”.~~<br />~~The letter “V”, and sometimes “E” (though I consider this wrong as voltage is not the same as energy), is used in electrical formulas. Some formulas I have seen even use the letter “U”; this is definitely a very infrequent usage and I discourage it.		:*The ohm (resistance) value on a schematic is usually spelled out as “ohms” or annotated with an upper case Greek omega: “Ω”. Since resistance values can be very large, the symbol may be preceded with a “k” for kilo-ohms (thousands) or “m” for mega-ohms (millions).
	* '''Ampere: The measure of electrical current through a circuit or component.'''~~<br />~~The current (amperage) value on a schematic is usually abbreviated as “amps” or annotated by the letter “A”.~~<br />~~The letter “I” is used for current in electrical formulas (we like to keep things a little difficult, but it’s etymology can be traced back to some French historical use).		:*In electrical formulas, the letter “R” is used to represent ohms.
	* '''Farad: The measure of capacitance of an electrical component to hold a voltage differential.'''~~<br />~~The capacitance value on a schematic is usually annotated with an “F”. Since farad values are usually very small, it is frequently preceded by an “n” for nano-farads (one billionth or 0.000000001) or “m” micro-farads (one millionth or 0.000001) or a Greek lower case mu “𝛍”. Pico-farads (one thousandth of a nano or 0.000000000001) are also quite common, and that is indicated with a “p”.~~<br />~~Electrical formulas involving capacitance use the letter “C” for farads. I will admit this one can get very confusing as well since capacitance formulas are based on voltage and coulombs – which is a measure of “charge” we won’t get into here, but represented by the letter “Q”.		* '''Volt: The measure of electromotive force in a circuit.'''
	* '''Coulomb: Is the charge that a capacitor with a fixed farad capacitance can attain for a specified voltage.'''~~<br />~~This ~~value~~ is rarely used; I can't think of a single usage for it in our hobby. But I mention it to be complete.		:*The voltage value on a schematic is usually annotated with a “V”.
	* '''Watt: The unit of power consumed or generated by a component.''' ~~You may also see the term "joule" for power. This is a smaller unit of measure.~~		:*The letter “V”, and sometimes “E” (though I consider this wrong as voltage is not the same as energy), is used in electrical formulas. Some formulas I have seen even use the letter “U”; this is definitely a very infrequent usage and I discourage it.
	:The letter "W" is used on a schematic to indicate power.		* '''Ampere: The measure of electrical current through a circuit or component.'''
	:Electrical formulas also use the letter "W" to indicate power. However, I have seen the letter "E" used, ~~and sometimes~~ the ~~letter~~ "j" for ~~smaller values that represent joules~~.		:*The current (amperage) value on a schematic is usually abbreviated as “amps” or annotated by the letter “A”.
			:*The letter “I” is used for current in electrical formulas (we like to keep things a little difficult, but it’s etymology can be traced back to some French historical use).
			* '''Farad: The measure of capacitance of an electrical component to hold a voltage differential.'''
			:*The capacitance value on a schematic is usually annotated with an “F”. Since farad values are usually very small, it is frequently preceded by an “n” for nano-farads (one billionth or 0.000000001) or “m” micro-farads (one millionth or 0.000001) or a Greek lower case mu “𝛍”. Pico-farads (one thousandth of a nano or 0.000000000001) are also quite common, and that is indicated with a “p”.
			:*Electrical formulas involving capacitance use the letter “C” for farads. I will admit this one can get very confusing as well since capacitance formulas are based on voltage and coulombs – which is a measure of “charge” we won’t get into here, but represented by the letter “Q”.
			* '''Coulomb: Is the charge that a capacitor with a fixed farad capacitance can attain for a specified voltage.''' This unit of energy is rarely used; I can't think of a single usage for it in our hobby. But I mention it to be complete. It is related to an ampere in that an ampere is the flow of one coulomb per second.
			:*A coulomb, if it would ever be present on a schematic, would be identified as "C" or "Q". (I really have no idea why.)
			:*A "Q" is also used in formulas involving coulombs, in preference to a "C" to avoid confusion.
			* '''Watt: The unit of power consumed or generated by a component.'''
			:*The letter "W" is used on a schematic to indicate power.
			:*Electrical formulas also use the letter "W" to indicate power. However, I have seen the letter "E" used, but I consider this very incorrect, as watts are not energy.
			* KiloWatt Hours: This is a measurment of energy. It is a very useful value for determining the usefulness of a battery because it tells you how many watts the battery can provide over a specified amount of time (typically one hour). (You might also have heard of the Joule, which is also a measurement of energy, but infrequently used for our purposes.)
			:*The value has no real purpose in a schematic; but if it were to appear, it would probably be designated as "kWhr".
			:*The same would be true for formulas: "kWhr" for the kilowatt hour.

	How are these things measured?		How are these things measured?
Line 40:		Line 62:
	==Formulas==		==Formulas==
	First of all, why do you need to know any of these formulas? The answer is that in order to build a circuit, or repair an existing one, you need to know what value rating a component should be to properly work in the circuit. If you can find a circuit diagram for what you want to build or repair, then you should be able to get the values from the diagram. But if you don't have the diagram, or are building a new circuit, you will have to do some calculations. Of course, you will also have to do some measuring, with a mulitmeter, to get some of the values for components in an existing circuit. In other cases, like for a new circuit, you will need the data or specification sheets that are related to the components you will need, or be able to read the values printed on the components.		First of all, why do you need to know any of these formulas? The answer is that in order to build a circuit, or repair an existing one, you need to know what value rating a component should be to properly work in the circuit. If you can find a circuit diagram for what you want to build or repair, then you should be able to get the values from the diagram. But if you don't have the diagram, or are building a new circuit, you will have to do some calculations. Of course, you will also have to do some measuring, with a mulitmeter, to get some of the values for components in an existing circuit. In other cases, like for a new circuit, you will need the data or specification sheets that are related to the components you will need, or be able to read the values printed on the components.
	* Resistance (R), voltage (V), and current (I) are pretty easy and all related to each other. The following three formulas should demonstrate that relationship:~~<div>~~		* Resistance (R), voltage (V), and current (I) are pretty easy and all related to each other. The following three formulas should demonstrate that relationship (Ohn's Law):
	*voltage is current times resistance: <math>V = I R</math>		*voltage is current times resistance: <math>V = I R</math>
	**resistance is current divided by voltage: <math>R = {I \over V}</math>		**resistance is current divided by voltage: <math>R = {I \over V}</math>
	**current is resitance divided by voltage: <math>I = {R \over V}</math>~~</div>~~ When working on a circuit, all you need to know is two of these values to calculate the third.		**current is resitance divided by voltage: <math>I = {R \over V}</math>
			:When working on a circuit, all you need to know is two of these values to calculate the third.

	* Farads can be calculated from coulombs and voltage, but this is rarely needed. Rather coulombs (the measure of charge on a capacitor) are calculated based on farads and voltage. And the farad value of a capacitor should be printed on the capacitor, along with the maximum voltage that the capacitor can handle. It will be the farad value that is needed when calculating things like time delay for a circuit. The ElectronicsTutorials web site has a good article on capacitors and the calculations of capacitance (farads) and charge (coulombs)<ref>[https://www.electronics-tutorials.ws/capacitor/cap_4.html Capacitance and Charge]</ref>. But, again for completeness, the formula for calculating farads from coulombs and voltage is:		* Farads can be calculated from coulombs and voltage, but this is rarely needed. Rather coulombs (the measure of charge on a capacitor) are calculated based on farads and voltage. And the farad value of a capacitor should be printed on the capacitor, along with the maximum voltage that the capacitor can handle. It will be the farad value that is needed when calculating things like time delay for a circuit. The ElectronicsTutorials web site has a good article on capacitors and the calculations of capacitance (farads) and charge (coulombs)<ref>[https://www.electronics-tutorials.ws/capacitor/cap_4.html Capacitance and Charge]</ref>. But, again for completeness, the formula for calculating farads from coulombs and voltage is:
Line 52:		Line 75:

	* Watts are calculated as the voltage across a component times the square of the current through the component. That is:		* Watts are calculated as the voltage across a component times the square of the current through the component. That is:
	:* watts is voltage ~~time~~ current squared: <math>W = V * I ^ 2</math>		:* watts are calculated as voltage times current squared: <math>W = V * I ^ 2</math>
			:If you really wanted to convert joules to watts, the formula is:
			:*one watt is one joule applied for one second: <math>W = J / s</math>
			:To put this in terms of kilowatt-hours then w

DErik at 01:59, 6 January 2024

2024-01-06T01:59:55Z

← Older revision		Revision as of 18:59, 5 January 2024
Line 24:		Line 24:
	* '''Farad: The measure of capacitance of an electrical component to hold a voltage differential.'''<br />The capacitance value on a schematic is usually annotated with an “F”. Since farad values are usually very small, it is frequently preceded by an “n” for nano-farads (one billionth or 0.000000001) or “m” micro-farads (one millionth or 0.000001) or a Greek lower case mu “𝛍”. Pico-farads (one thousandth of a nano or 0.000000000001) are also quite common, and that is indicated with a “p”.<br />Electrical formulas involving capacitance use the letter “C” for farads. I will admit this one can get very confusing as well since capacitance formulas are based on voltage and coulombs – which is a measure of “charge” we won’t get into here, but represented by the letter “Q”.		* '''Farad: The measure of capacitance of an electrical component to hold a voltage differential.'''<br />The capacitance value on a schematic is usually annotated with an “F”. Since farad values are usually very small, it is frequently preceded by an “n” for nano-farads (one billionth or 0.000000001) or “m” micro-farads (one millionth or 0.000001) or a Greek lower case mu “𝛍”. Pico-farads (one thousandth of a nano or 0.000000000001) are also quite common, and that is indicated with a “p”.<br />Electrical formulas involving capacitance use the letter “C” for farads. I will admit this one can get very confusing as well since capacitance formulas are based on voltage and coulombs – which is a measure of “charge” we won’t get into here, but represented by the letter “Q”.
	* '''Coulomb: Is the charge that a capacitor with a fixed farad capacitance can attain for a specified voltage.'''<br />This value is rarely used; I can't think of a single usage for it in our hobby. But I mention it to be complete.		* '''Coulomb: Is the charge that a capacitor with a fixed farad capacitance can attain for a specified voltage.'''<br />This value is rarely used; I can't think of a single usage for it in our hobby. But I mention it to be complete.
			* '''Watt: The unit of power consumed or generated by a component.''' You may also see the term "joule" for power. This is a smaller unit of measure.
			:The letter "W" is used on a schematic to indicate power.
			:Electrical formulas also use the letter "W" to indicate power. However, I have seen the letter "E" used, and sometimes the letter "j" for smaller values that represent joules.

	How are these things measured?		How are these things measured?
Line 47:		Line 50:
	:time constant for charging a capacitor: <math>T = R C</math>		:time constant for charging a capacitor: <math>T = R C</math>
	:During this time, a capacitor will charge up to about 63% of its fully capacity. The actual time to charge the capacitor to it "full" capacity is about 5 times the time constant, reaching 98% in about 4 time constants.		:During this time, a capacitor will charge up to about 63% of its fully capacity. The actual time to charge the capacitor to it "full" capacity is about 5 times the time constant, reaching 98% in about 4 time constants.

			* Watts are calculated as the voltage across a component times the square of the current through the component. That is:
			:* watts is voltage time current squared: <math>W = V * I ^ 2</math>

DErik at 00:23, 4 January 2024

2024-01-04T00:23:50Z

← Older revision		Revision as of 17:23, 3 January 2024
Line 37:		Line 37:
	==Formulas==		==Formulas==
	First of all, why do you need to know any of these formulas? The answer is that in order to build a circuit, or repair an existing one, you need to know what value rating a component should be to properly work in the circuit. If you can find a circuit diagram for what you want to build or repair, then you should be able to get the values from the diagram. But if you don't have the diagram, or are building a new circuit, you will have to do some calculations. Of course, you will also have to do some measuring, with a mulitmeter, to get some of the values for components in an existing circuit. In other cases, like for a new circuit, you will need the data or specification sheets that are related to the components you will need, or be able to read the values printed on the components.		First of all, why do you need to know any of these formulas? The answer is that in order to build a circuit, or repair an existing one, you need to know what value rating a component should be to properly work in the circuit. If you can find a circuit diagram for what you want to build or repair, then you should be able to get the values from the diagram. But if you don't have the diagram, or are building a new circuit, you will have to do some calculations. Of course, you will also have to do some measuring, with a mulitmeter, to get some of the values for components in an existing circuit. In other cases, like for a new circuit, you will need the data or specification sheets that are related to the components you will need, or be able to read the values printed on the components.
	* Resistance (R), voltage (V), and current (I) are pretty easy and all related to each other. The following three formulas should demonstrate that relationship:<div ~~style="text-align:center;"~~>voltage is current times resistance: <math>V = I * R</math>~~<br />~~resistance is current divided by voltage: <math>R = {I \over V}</math>~~<br />~~current is resitance divided by voltage: <math>I = {R \over V}</math></div>When working on a circuit, all you need to know is two of these values to calculate the third.		* Resistance (R), voltage (V), and current (I) are pretty easy and all related to each other. The following three formulas should demonstrate that relationship:<div>
	* Farads can be calculated from coulombs and voltage, but this is rarely needed. Rather coulombs (the measure of charge on a capacitor) are calculated based on farads and voltage. And the farad value of a capacitor should be printed on the capacitor, along with the maximum voltage that the capacitor can handle. It will be the farad value that is needed when calculating things like time delay for a circuit. The ElectronicsTutorials web site has a good article on capacitors and the calculations of capacitance (farads) and charge (coulombs)<ref>[https://www.electronics-tutorials.ws/capacitor/cap_4.html Capacitance and Charge]</ref>.		*voltage is current times resistance: <math>V = I R</math>
			**resistance is current divided by voltage: <math>R = {I \over V}</math>
			**current is resitance divided by voltage: <math>I = {R \over V}</math></div> When working on a circuit, all you need to know is two of these values to calculate the third.

			* Farads can be calculated from coulombs and voltage, but this is rarely needed. Rather coulombs (the measure of charge on a capacitor) are calculated based on farads and voltage. And the farad value of a capacitor should be printed on the capacitor, along with the maximum voltage that the capacitor can handle. It will be the farad value that is needed when calculating things like time delay for a circuit. The ElectronicsTutorials web site has a good article on capacitors and the calculations of capacitance (farads) and charge (coulombs)<ref>[https://www.electronics-tutorials.ws/capacitor/cap_4.html Capacitance and Charge]</ref>. But, again for completeness, the formula for calculating farads from coulombs and voltage is:
			**farad is coulomb divided by voltage: <math>C = {Q \over V}</math>
			:For calculation of time needed to fully charge a capacitor, let me summarize the discussion found in the ElectronicsTutorial RC Charging Circuit web page<ref>[https://www.electronics-tutorials.ws/rc/rc_1.html RC Charging Circuit]</ref>. There is a time delay involved in charging and discharging a capacitor. The time needed is dependent on the capacitance (in farads, "C") of the capacitor and the resistance of the remaining part of the circuit in which the capacitor is placed. The "time constant", designated as the letter "T", is calculated as:
			:time constant for charging a capacitor: <math>T = R C</math>
			:During this time, a capacitor will charge up to about 63% of its fully capacity. The actual time to charge the capacitor to it "full" capacity is about 5 times the time constant, reaching 98% in about 4 time constants.

DErik at 23:00, 3 January 2024

2024-01-03T23:00:46Z

← Older revision		Revision as of 16:00, 3 January 2024
Line 38:		Line 38:
	First of all, why do you need to know any of these formulas? The answer is that in order to build a circuit, or repair an existing one, you need to know what value rating a component should be to properly work in the circuit. If you can find a circuit diagram for what you want to build or repair, then you should be able to get the values from the diagram. But if you don't have the diagram, or are building a new circuit, you will have to do some calculations. Of course, you will also have to do some measuring, with a mulitmeter, to get some of the values for components in an existing circuit. In other cases, like for a new circuit, you will need the data or specification sheets that are related to the components you will need, or be able to read the values printed on the components.		First of all, why do you need to know any of these formulas? The answer is that in order to build a circuit, or repair an existing one, you need to know what value rating a component should be to properly work in the circuit. If you can find a circuit diagram for what you want to build or repair, then you should be able to get the values from the diagram. But if you don't have the diagram, or are building a new circuit, you will have to do some calculations. Of course, you will also have to do some measuring, with a mulitmeter, to get some of the values for components in an existing circuit. In other cases, like for a new circuit, you will need the data or specification sheets that are related to the components you will need, or be able to read the values printed on the components.
	* Resistance (R), voltage (V), and current (I) are pretty easy and all related to each other. The following three formulas should demonstrate that relationship:<div style="text-align:center;">voltage is current times resistance: <math>V = I * R</math><br />resistance is current divided by voltage: <math>R = {I \over V}</math><br />current is resitance divided by voltage: <math>I = {R \over V}</math></div>When working on a circuit, all you need to know is two of these values to calculate the third.		* Resistance (R), voltage (V), and current (I) are pretty easy and all related to each other. The following three formulas should demonstrate that relationship:<div style="text-align:center;">voltage is current times resistance: <math>V = I * R</math><br />resistance is current divided by voltage: <math>R = {I \over V}</math><br />current is resitance divided by voltage: <math>I = {R \over V}</math></div>When working on a circuit, all you need to know is two of these values to calculate the third.
	* Farads can be calculated from coulombs and voltage, but this is rarely needed. Rather coulombs (the measure of charge on a capacitor) are calculated based on farads and voltage. And the farad value of a capacitor should be printed on the capacitor, along with the maximum voltage that the capacitor can handle. It will be the farad value that is needed when calculating things like time delay for a circuit. The ElectronicsTutorials web site has a good article on capacitors<ref>[https://www.electronics-tutorials.ws/capacitor/cap_4.html Capacitance and Charge]</ref>.		* Farads can be calculated from coulombs and voltage, but this is rarely needed. Rather coulombs (the measure of charge on a capacitor) are calculated based on farads and voltage. And the farad value of a capacitor should be printed on the capacitor, along with the maximum voltage that the capacitor can handle. It will be the farad value that is needed when calculating things like time delay for a circuit. The ElectronicsTutorials web site has a good article on capacitors and the calculations of capacitance (farads) and charge (coulombs)<ref>[https://www.electronics-tutorials.ws/capacitor/cap_4.html Capacitance and Charge]</ref>.

DErik at 22:57, 3 January 2024

2024-01-03T22:57:03Z

← Older revision		Revision as of 15:57, 3 January 2024
Line 29:		Line 29:
	* To measure voltage, there must be some external power supplied; the meter used to measure the voltage will not supply that power. The meter must also be connected in parallel with the circuit or component to be measured.		* To measure voltage, there must be some external power supplied; the meter used to measure the voltage will not supply that power. The meter must also be connected in parallel with the circuit or component to be measured.
	* The meter must be connected in series in a circuit to measure amperage.		* The meter must be connected in series in a circuit to measure amperage.
	* Measuring farad units is rarely needed. And there is no easily available device to measure a component to get that value. Hence, it is written on the component itself, or on a data sheet for the component, and that is all that is needed to build a circuit that includes a capacitor.		* Measuring farad units is rarely needed. And there is no easily available device to measure a component to get that value. Hence, it is written on the component itself, or on a data sheet for the component, along with the maximum voltage that can be applied to the component, and that is all that is needed to build a circuit that includes a capacitor.
	==Components==		==Components==
	* Resistor: A component expressly designed to resist the flow of electrons through it. The higher valued a resistor is, the fewer amps will pass through it. Values of resistors are encoded on the resistor with a standard color scheme.		* Resistor: A component expressly designed to resist the flow of electrons through it. The higher valued a resistor is, the fewer amps will pass through it. Values of resistors are encoded on the resistor with a standard color scheme.

DErik at 22:55, 3 January 2024

2024-01-03T22:55:08Z

← Older revision		Revision as of 15:55, 3 January 2024
Line 23:		Line 23:
	* '''Ampere: The measure of electrical current through a circuit or component.'''<br />The current (amperage) value on a schematic is usually abbreviated as “amps” or annotated by the letter “A”.<br />The letter “I” is used for current in electrical formulas (we like to keep things a little difficult, but it’s etymology can be traced back to some French historical use).		* '''Ampere: The measure of electrical current through a circuit or component.'''<br />The current (amperage) value on a schematic is usually abbreviated as “amps” or annotated by the letter “A”.<br />The letter “I” is used for current in electrical formulas (we like to keep things a little difficult, but it’s etymology can be traced back to some French historical use).
	* '''Farad: The measure of capacitance of an electrical component to hold a voltage differential.'''<br />The capacitance value on a schematic is usually annotated with an “F”. Since farad values are usually very small, it is frequently preceded by an “n” for nano-farads (one billionth or 0.000000001) or “m” micro-farads (one millionth or 0.000001) or a Greek lower case mu “𝛍”. Pico-farads (one thousandth of a nano or 0.000000000001) are also quite common, and that is indicated with a “p”.<br />Electrical formulas involving capacitance use the letter “C” for farads. I will admit this one can get very confusing as well since capacitance formulas are based on voltage and coulombs – which is a measure of “charge” we won’t get into here, but represented by the letter “Q”.		* '''Farad: The measure of capacitance of an electrical component to hold a voltage differential.'''<br />The capacitance value on a schematic is usually annotated with an “F”. Since farad values are usually very small, it is frequently preceded by an “n” for nano-farads (one billionth or 0.000000001) or “m” micro-farads (one millionth or 0.000001) or a Greek lower case mu “𝛍”. Pico-farads (one thousandth of a nano or 0.000000000001) are also quite common, and that is indicated with a “p”.<br />Electrical formulas involving capacitance use the letter “C” for farads. I will admit this one can get very confusing as well since capacitance formulas are based on voltage and coulombs – which is a measure of “charge” we won’t get into here, but represented by the letter “Q”.
	* Coulomb: Is the charge that a capacitor with a fixed farad capacitance can attain for a specified voltage. This value is rarely used; I can't think of a single usage for it in our hobby. But I mention it to be complete.		* '''Coulomb: Is the charge that a capacitor with a fixed farad capacitance can attain for a specified voltage.'''<br />This value is rarely used; I can't think of a single usage for it in our hobby. But I mention it to be complete.

	How are these things measured?		How are these things measured?
Line 38:		Line 38:
	First of all, why do you need to know any of these formulas? The answer is that in order to build a circuit, or repair an existing one, you need to know what value rating a component should be to properly work in the circuit. If you can find a circuit diagram for what you want to build or repair, then you should be able to get the values from the diagram. But if you don't have the diagram, or are building a new circuit, you will have to do some calculations. Of course, you will also have to do some measuring, with a mulitmeter, to get some of the values for components in an existing circuit. In other cases, like for a new circuit, you will need the data or specification sheets that are related to the components you will need, or be able to read the values printed on the components.		First of all, why do you need to know any of these formulas? The answer is that in order to build a circuit, or repair an existing one, you need to know what value rating a component should be to properly work in the circuit. If you can find a circuit diagram for what you want to build or repair, then you should be able to get the values from the diagram. But if you don't have the diagram, or are building a new circuit, you will have to do some calculations. Of course, you will also have to do some measuring, with a mulitmeter, to get some of the values for components in an existing circuit. In other cases, like for a new circuit, you will need the data or specification sheets that are related to the components you will need, or be able to read the values printed on the components.
	* Resistance (R), voltage (V), and current (I) are pretty easy and all related to each other. The following three formulas should demonstrate that relationship:<div style="text-align:center;">voltage is current times resistance: <math>V = I * R</math><br />resistance is current divided by voltage: <math>R = {I \over V}</math><br />current is resitance divided by voltage: <math>I = {R \over V}</math></div>When working on a circuit, all you need to know is two of these values to calculate the third.		* Resistance (R), voltage (V), and current (I) are pretty easy and all related to each other. The following three formulas should demonstrate that relationship:<div style="text-align:center;">voltage is current times resistance: <math>V = I * R</math><br />resistance is current divided by voltage: <math>R = {I \over V}</math><br />current is resitance divided by voltage: <math>I = {R \over V}</math></div>When working on a circuit, all you need to know is two of these values to calculate the third.
	* Farads can be calculated from coulombs and voltage, but this is rarely needed. Rather coulombs (the measure of charge on a capacitor) are calculated based on farads and voltage. And farad value of a capacitor should be printed on the capacitor. It will be the farad value that is needed when calculating things like time delay for a circuit. The ElectronicsTutorials web site has a good article on capacitors<ref>[https://www.electronics-tutorials.ws/capacitor/cap_4.html Capacitance and Charge]</ref>.		* Farads can be calculated from coulombs and voltage, but this is rarely needed. Rather coulombs (the measure of charge on a capacitor) are calculated based on farads and voltage. And the farad value of a capacitor should be printed on the capacitor, along with the maximum voltage that the capacitor can handle. It will be the farad value that is needed when calculating things like time delay for a circuit. The ElectronicsTutorials web site has a good article on capacitors<ref>[https://www.electronics-tutorials.ws/capacitor/cap_4.html Capacitance and Charge]</ref>.

← Older revision		Revision as of 14:05, 23 December 2025
Line 1:		Line 1:
	[[Category:MRT SIG]]		[[index.php?title=Category:MRT SIG]]
	[[Category:Electronics]]		[[index.php?title=Category:Electronics]]
	[[Category:Remote Control]]		[[index.php?title=Category:Remote Control]]
	<span style="font-family:serif; font-size:1.5em;">Article Synopsis<hr></span>		<span style="font-family:serif; font-size:1.5em;">Article Synopsis<hr></span>
	This article provides some basic information about electronics. It is intended for someone with very little understanding of electronic components. It provides descriptions of them, their usages, and how to work with them.		This article provides some basic information about electronics. It is intended for someone with very little understanding of electronic components. It provides descriptions of them, their usages, and how to work with them.
	[[Category:Works In Progress]] <span style="color:red;"><br />Under construction/modification by [[User:DErik\|DErik]] ([[User talk:DErik\|talk]]) 14:50, 3 January 2024 (PST)<br /></span>		[[index.php?title=Category:Works In Progress]] <span style="color:red;"><br />Under construction/modification by [[User:DErik\|DErik]] ([[User talk:DErik\|talk]]) 14:50, 3 January 2024 (PST)<br /></span>
	{{rtoc}}		{{rtoc}}

Line 22:		Line 22:
	Let's first consider the basic terms used in talking about electricity.		Let's first consider the basic terms used in talking about electricity.
	* Current<ref name="current" />:		* Current<ref name="current" />:
	:What exactly is current? In simple terms it is the flow of electrons or ions through a conductive medium. ~~Simply~~, right? But one thing that confuses folks is: which way are the electons flowing? Typically, we consider the flow to be from the positive pole of an electrical source to the negative pole. But, to confuse things, the positive pole is actually deficient in electrons (or negatively charged ions), while the negative pole is saturated with them. So in strict physical terms, the flow of elections would be from the negative pole to the positive. Now, since I have confused you, ignore the reality of the situation and just consider that a current is simply the flow itself, and in actual use, the direction makes no difference. It is really the difference in electrical potential that is important. That is ...		:What exactly is current? In simple terms it is the flow of electrons or ions through a conductive medium. Simple, right? But one thing that confuses folks is: which way are the electons flowing? Typically, we consider the flow to be from the positive pole of an electrical source to the negative pole. But, to confuse things, the positive pole is actually deficient in electrons (or negatively charged ions), while the negative pole is saturated with them. So in strict physical terms, the flow of elections would be from the negative pole to the positive. Now, since I have confused you, ignore the reality of the situation and just consider that a current is simply the flow itself, and in actual use, the direction makes no difference. It is really the difference in electrical potential that is important. That is ...
	* Voltage:		* Voltage:
	:This is the electrical potential difference between two charged elements. In electronic engineering and research, the volt is defined as one joule per coulomb. But for model railroading, we rarely use joules or coulombs in our parlance, idioms, or vernacular exposition.		:This is the electrical potential difference between two charged elements. In electronic engineering and research, the volt is defined as one joule per coulomb. But for model railroading, we rarely use joules or coulombs in our parlance, idioms, or vernacular exposition.
	* Energy, Power, and Work<ref name="byjus" /><ref name="energyeducation" />:		* Energy, Power, and Work<ref name="byjus" /><ref name="energyeducation" />:
	:Energy and power are not the same, and the distinction is rather subtle. Energy is the ability to do work, or to provide power. Power is the actual performance of work over time; that is, power is the rate of doing work or using energy. For example, energy is the charge present on a battery, and power is the battery's ability to deliver that charge over time to some circuit components. In terms of an equation: power multiplied by the time it is applied to something equals the energy supplied. Energy and work are related in that work is the actual energy used. Work itself isn't present unless some object changes position. (This may seem a bit arbitrary in definition an usage, but is helpful in dealing with the mathematics - something this article is not going to delve into very far). In electronics, the movement of the electrons or ions (current) is necessary to perceive work		:Energy and power are not the same, and the distinction is rather subtle. Energy is the ability to do work, or to provide power. Power is the actual performance of work over time; that is, power is the rate of doing work or using energy. For example, energy is the charge present on a battery, and power is the battery's ability to deliver that charge over time to some circuit components. In terms of an equation: power multiplied by the time it is applied to something equals the energy supplied. Energy and work are related in that work is the actual energy used. Work itself isn't present unless some object changes position. (This may seem a bit arbitrary in definition and usage, but is helpful in dealing with the mathematics - something this article is not going to delve into very far). In electronics, the movement of the electrons or ions (current) is necessary to perceive work
	:In electronics, power is measured in watts. As an example; the power of a battery is often expressed in kilowatts. You often may see amp hours or milliamp hours on batteries. This is a way or expressing how long the initial charge of the battery will last. The relationship is that amp-hours can be converted to watts by multiplying it by the voltage rating of the battery. For example, as 9 volt battery having a rating of 625 milliamp-hours will have 5.625 watts available.		:In electronics, power is measured in watts. As an example; the power of a battery is often expressed in kilowatts. You often may see amp hours or milliamp hours on batteries. This is a way or expressing how long the initial charge of the battery will last. The relationship is that amp-hours can be converted to watts by multiplying it by the voltage rating of the battery. For example, as 9 volt battery having a rating of 625 milliamp-hours will have 5.625 watts available.
	:To make this a little clearer, let me define work: work is the application of a force on an object through a distance. In electronics, the force is the volt and the item being moved is the electron or ion in the materials of the circuit components.		:To make this a little clearer, let me define work: work is the application of a force on an object through a distance. In electronics, the force is the volt and the item being moved is the electron or ion in the materials of the circuit components.
Line 33:		Line 33:
	==Units of measure==		==Units of measure==
	* '''Ohm: The measure of resistance to current flow in a circuit or across a component of a circuit.'''		* '''Ohm: The measure of resistance to current flow in a circuit or across a component of a circuit.'''
	:*The ohm (resistance) value on a schematic is usually spelled out as “ohms” or annotated with an upper case Greek omega: “Ω”. Since resistance values can be very large, the symbol may be ~~preceded~~ with a “k” for kilo-ohms (thousands) or “m” for mega-ohms (millions).		:*The ohm (resistance) value on a schematic is usually spelled out as “ohms” or annotated with an upper case Greek omega: “Ω”. Since resistance values can be very large, the symbol may be followed with a “k” for kilo-ohms (thousands) or “m” for mega-ohms (millions).
	:*In electrical formulas, the letter “R” is used to represent ohms.		:*In electrical formulas, the letter “R” is used to represent ohms.
	* '''Volt: The measure of electromotive force in a circuit.'''		* '''Volt: The measure of electromotive force in a circuit.'''
Line 57:		Line 57:
	* The resistance of an element is always measured without applying any external voltage to the component. The meter used to measure the resistance will provide the power.		* The resistance of an element is always measured without applying any external voltage to the component. The meter used to measure the resistance will provide the power.
	* To measure voltage, there must be some external power supplied; the meter used to measure the voltage will not supply that power. The meter must also be connected in parallel with the circuit or component to be measured.		* To measure voltage, there must be some external power supplied; the meter used to measure the voltage will not supply that power. The meter must also be connected in parallel with the circuit or component to be measured.
	* ~~The~~ meter must be connected in series in a circuit ~~to measure amperage~~.		* To measure amperage, the meter must be connected in series in a circuit.
	* Measuring farad units is rarely needed. And there is no easily available device to measure a component to get that value. Hence, it is written on the component itself, or on a data sheet for the component, along with the maximum voltage that can be applied to the component, and that is all that is needed to build a circuit that includes a capacitor.		* Measuring farad units is rarely needed. And there is no easily available device to measure a component to get that value. Hence, it is written on the component itself, or on a data sheet for the component, along with the maximum voltage that can be applied to the component, and that is all that is needed to build a circuit that includes a capacitor.
	==Components==		==Components==
Line 73:		Line 73:
	:When working on a circuit, all you need to know is two of these values to calculate the third.		:When working on a circuit, all you need to know is two of these values to calculate the third.

	* Farads can be calculated from coulombs and voltage, but this is rarely needed. Rather coulombs (the measure of charge on a capacitor) are calculated based on farads and voltage. And the farad value of a capacitor should be printed on the capacitor, along with the maximum voltage that the capacitor can handle. It will be the farad value that is needed when calculating things like time delay for a circuit. The ElectronicsTutorials web site has a good article on capacitors and the calculations of capacitance (farads) and charge (coulombs)<ref>[https://www.electronics-tutorials.ws/capacitor/cap_4.html Capacitance and Charge]</ref>. But, again for completeness, the formula for calculating farads from coulombs and voltage is:		* Farads can be calculated from coulombs and voltage, but this is rarely needed. Rather, coulombs (the measure of charge on a capacitor) are calculated based on farads and voltage. And the farad value of a capacitor should be printed on the capacitor, along with the maximum voltage that the capacitor can handle. It will be the farad value that is needed when calculating things like time delay for a circuit. The ElectronicsTutorials web site has a good article on capacitors and the calculations of capacitance (farads) and charge (coulombs)<ref>[https://www.electronics-tutorials.ws/capacitor/cap_4.html Capacitance and Charge]</ref>. But, again for completeness, the formula for calculating farads from coulombs and voltage is:
	**farad is coulomb divided by voltage: <math>C = {Q \over V}</math>		**farad is coulomb divided by voltage: <math>C = {Q \over V}</math>
	:For calculation of time needed to fully charge a capacitor, let me summarize the discussion found in the ElectronicsTutorial RC Charging Circuit web page<ref>[https://www.electronics-tutorials.ws/rc/rc_1.html RC Charging Circuit]</ref>. There is a time delay involved in charging and discharging a capacitor. The time needed is dependent on the capacitance (in farads, "C") of the capacitor and the resistance of the remaining part of the circuit in which the capacitor is placed. The "time constant", designated as the letter "T", is calculated as:		:For calculation of time needed to fully charge a capacitor, let me summarize the discussion found in the ElectronicsTutorial RC Charging Circuit web page<ref>[https://www.electronics-tutorials.ws/rc/rc_1.html RC Charging Circuit]</ref>. There is a time delay involved in charging and discharging a capacitor. The time needed is dependent on the capacitance (in farads, "C") of the capacitor and the resistance of the remaining part of the circuit in which the capacitor is placed. The "time constant", designated as the letter "T", is calculated as:
	:time constant for charging a capacitor: <math>T = R C</math>		:time constant for charging a capacitor: <math>T = R C</math>
	:During this time, a capacitor will charge up to about 63% of its fully capacity. The actual time to charge the capacitor to it "full" capacity is about 5 times the time constant, reaching 98% in about 4 time constants.		:During this time, a capacitor will charge up to about 63% of its fully capacity. The actual time to charge the capacitor to its "full" capacity is about 5 times the time constant, reaching 98% in about 4 time constants.

	* Watts are calculated as the voltage across a component times the square of the current through the component. That is:		* Watts are calculated as the voltage across a component times the square of the current through the component. That is:
Line 83:		Line 83:
	:If you really wanted to convert joules to watts, the formula is:		:If you really wanted to convert joules to watts, the formula is:
	:*one watt is one joule applied for one second: <math>W = J / s</math>		:*one watt is one joule applied for one second: <math>W = J / s</math>
	~~:To put this in terms of kilowatt-hours then w~~