Energy in a Circuit - Revision history

Ngoswami at 00:42, 6 December 2015

2015-12-06T00:42:15Z

← Older revision		Revision as of 20:42, 5 December 2015
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	Claimed by ~~Neevedita Goswami~~		Claimed by ngoswami3

	==Preface==		==Preface==

Ngoswami at 00:42, 6 December 2015

2015-12-06T00:42:01Z

← Older revision		Revision as of 20:42, 5 December 2015
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	<math> \mathbf{P} = \mathbf{I} * \mathbf{V} </math>		<math> \mathbf{P} = \mathbf{I} * \mathbf{V} </math>

			<math> \mathbf{P} = \frac{\mathbf{V}^2} {\mathbf{R}} </math>

	===Resistance===		===Resistance===
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	== See also ==		== See also ==

	~~Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?~~		http://www.physicsbook.gatech.edu/Series_Circuits

			http://www.physicsbook.gatech.edu/Parallel_Circuits

			http://www.physicsbook.gatech.edu/Ohm%27s_Law

	===Further reading===		===Further reading===

	~~Books~~, ~~Articles or other print media on this topic~~		Matter & Interactions, Vol. II: Electric and Magnetic Interactions, 4nd Edition by R. Chabay & B.Sherwood (John Wiley & Sons 2015)

	===External links===		===External links===
	[http://www.scientificamerican.com/article/bring-science-home-reaction-time/]		[http://www.scientificamerican.com/article/bring-science-home-reaction-time/]

			[http://www.powermag.com/current-issue-powernews/]


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	#http://www.physicsclassroom.com/class/circuits/Lesson-4/Parallel-Circuits		#http://www.physicsclassroom.com/class/circuits/Lesson-4/Parallel-Circuits
	#http://science.howstuffworks.com/environmental/energy/circuit3.htm		#http://science.howstuffworks.com/environmental/energy/circuit3.htm
			#http://www.edisontechcenter.org/AC-PowerHistory.html
			#http://science.howstuffworks.com/environmental/energy/circuit3.htm

	[[Category:Which Category did you place this in?]]		[[Category:Which Category did you place this in?]]

Ngoswami at 00:31, 6 December 2015

2015-12-06T00:31:41Z

← Older revision		Revision as of 20:31, 5 December 2015
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	[[File:finalcircuit.png]]		[[File:finalcircuit.png]]

			<math> \frac {1} {\mathbf{R}_{3}} = \frac {1} {\mathbf{R}_{2}} + \frac {1} {\mathbf{R}_{3}} </math>

	[[File:finalcircuit_1.png]]		[[File:finalcircuit_1.png]]

			Now you have resistors in series, so add them together:

			<math> \mathbf{R}_{4} = \mathbf{R}_{3} + \mathbf{R}_{4} </math>

			Combine the resistors in parallel:

			<math> \frac {1} {\mathbf{R}_{5}} = \frac {1} {\mathbf{R}_{4}} + \frac {1} {\mathbf{R}_{5}} </math>

	[[File:finalcircuit_2.png]]		[[File:finalcircuit_2.png]]

			Now you have resistors in series, so add them together:

			<math> \mathbf{R}_{5} = \mathbf{R}_{5} + \mathbf{R}_{7} </math>

			Combine the resistors in parallel:

			<math> \frac {1} {\mathbf{R}_{6}} = \frac {1} {\mathbf{R}_{5}} + \frac {1} {\mathbf{R}_{6}} </math>

	[[File:finalcircuit_3.png]]		[[File:finalcircuit_3.png]]

			These are your last resistors in series, so add them together to get the total resistance:

			<math> \mathbf{R}_{total} = \mathbf{R}_{1} + \mathbf{R}_{6} </math>

	Also, keep in mind the different rules that apply to the different types of circuits. Mixing up these rules are common mistakes students make in their calculations.		Also, keep in mind the different rules that apply to the different types of circuits. Mixing up these rules are common mistakes students make in their calculations.
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	==History==		==History==

	~~Put~~ this ~~idea~~ in ~~historical context~~. ~~Give~~ the ~~reader~~ the ~~Who~~, ~~What, When, Where~~, and ~~Why~~.		The first battery was invented by Alessandro Volta in 1800. With this invention, circuits could now be made. Battery-powered circuits have a constant flow going in one direction, and it is called Direct Current (DC). The more efficient and modern circuit is the Alternating Current (AC). Sebastian Ferranti and Lord Kelvin worked together to create the early transformer on AC in 1882. In 1886, "the first full AC power system in the world is demonstrated using step up and step down transformers. The system was built by William Stanley and funded by Westinghouse." Nikola Tesla contributed to many big improvements to AC power. AC power became commercial in the late 1800s, and it has quickly grown to be the main way we transfer energy over long distances.

	== See also ==		== See also ==
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	#http://hyperphysics.phy-astr.gsu.edu/hbase/electric/resis.html#c1		#http://hyperphysics.phy-astr.gsu.edu/hbase/electric/resis.html#c1
			#http://www.allaboutcircuits.com/textbook/direct-current/chpt-7/re-drawing-complex-schematics/
	#http://hyperphysics.phy-astr.gsu.edu/hbase/electric/ohmlaw.html		#http://hyperphysics.phy-astr.gsu.edu/hbase/electric/ohmlaw.html
	#http://farside.ph.utexas.edu/teaching/302l/lectures/node61.html		#http://farside.ph.utexas.edu/teaching/302l/lectures/node61.html
	#http://www.physicsclassroom.com/class/circuits/Lesson-4/Parallel-Circuits		#http://www.physicsclassroom.com/class/circuits/Lesson-4/Parallel-Circuits
	#http://science.howstuffworks.com/environmental/energy/circuit3.htm		#http://science.howstuffworks.com/environmental/energy/circuit3.htm


	[[Category:Which Category did you place this in?]]		[[Category:Which Category did you place this in?]]

Ngoswami at 23:59, 5 December 2015

2015-12-05T23:59:49Z

← Older revision		Revision as of 19:59, 5 December 2015
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	==Calculation Tips==		==Calculation Tips==
	Most problems given to students are mixed circuits, and calculating the total resistance can be confusing. A straightforward way is to draw out the circuit and then slowly simplify it. Take the resistors in parallel to each other and calculate their total resistance. You now have one resistor on that same path with the resistance you just calculated. Take resistors in series to each other and calculate their total resistance, and now you have one resistor with the total resistance. Each time you do these steps. redraw the the simplified circuit. Doing this step-by-step will reduce your chances of error.		Most problems given to students are mixed circuits, and calculating the total resistance can be confusing. A straightforward way is to draw out the circuit and then slowly simplify it. Take the resistors in parallel to each other and calculate their total resistance. You now have one resistor on that same path with the resistance you just calculated. Take resistors in series to each other and calculate their total resistance, and now you have one resistor with the total resistance. Each time you do these steps. redraw the the simplified circuit. Doing this step-by-step will reduce your chances of error.

			[[File:finalcircuit.png]]

			[[File:finalcircuit_1.png]]

			[[File:finalcircuit_2.png]]

			[[File:finalcircuit_3.png]]

	Also, keep in mind the different rules that apply to the different types of circuits. Mixing up these rules are common mistakes students make in their calculations.		Also, keep in mind the different rules that apply to the different types of circuits. Mixing up these rules are common mistakes students make in their calculations.

Ngoswami at 23:47, 5 December 2015

2015-12-05T23:47:44Z

← Older revision		Revision as of 19:47, 5 December 2015
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	<math> \mathbf{I} = </math> Current		<math> \mathbf{I} = </math> Current

			'''Ohm's Law'''
	<math> \mathbf{I} = \frac {\mathbf{V}} {\mathbf{R}} </math>		<math> \mathbf{I} = \frac {\mathbf{V}} {\mathbf{R}} </math>

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	[[File:Parallel Circuit.jpeg]]		[[File:Parallel Circuit.jpeg]]

	==~~Ohm's Law~~==		==Calculation Tips==
			Most problems given to students are mixed circuits, and calculating the total resistance can be confusing. A straightforward way is to draw out the circuit and then slowly simplify it. Take the resistors in parallel to each other and calculate their total resistance. You now have one resistor on that same path with the resistance you just calculated. Take resistors in series to each other and calculate their total resistance, and now you have one resistor with the total resistance. Each time you do these steps. redraw the the simplified circuit. Doing this step-by-step will reduce your chances of error.
			Also, keep in mind the different rules that apply to the different types of circuits. Mixing up these rules are common mistakes students make in their calculations.

			If you think you have made an error, go back to your circuit and calculate the values (I,R,V,P) again. Once you have the values, check to make sure:
			1. The voltages are the same on their corresponding paths of the parallel circuits.
			2. The currents are the same on the main paths of the series circuits.
			3. The currents in a parallel circuit add up to the current of the main path they branched off from.
	==Connectedness==		==Connectedness==
	#In middle school, I made a house with working appliances. It was such an enthralling experience, and I enjoyed making the circuits and figuring out which ones would work best ~~by calculating battery wattage and application resistance~~.		#In middle school, I made a house with working appliances. It was such an enthralling experience, and I enjoyed making the circuits and figuring out which ones would work best.
	#I am a computer science major, but if I want to do into the devices thread, knowing how these circuits work would be beneficial. With that knowledge in addition to computer programming knowledge, I would be able to thoroughly understand the top-down making of the device.		#I am a computer science major, but if I want to do into the devices thread, knowing how these circuits work would be beneficial. With that knowledge in addition to computer programming knowledge, I would be able to thoroughly understand the top-down making of the device.
	#Circuits are used all around us. From within our appliances to the outlets we plug them into, circuits are the basis of most technology we use today. You could apply circuits to almost any industry.		#Circuits are used all around us. From within our appliances to the outlets we plug them into, circuits are the basis of most technology we use today. You could apply circuits to almost any industry.

Ngoswami at 23:27, 5 December 2015

2015-12-05T23:27:02Z

← Older revision		Revision as of 19:27, 5 December 2015
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	[[File:Parallel Circuit.jpeg]]		[[File:Parallel Circuit.jpeg]]

			==Ohm's Law==


	==Connectedness==		==Connectedness==
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	==References==		==References==

	~~This section contains the the references you used while writing this page~~		#http://hyperphysics.phy-astr.gsu.edu/hbase/electric/resis.html#c1
			#http://hyperphysics.phy-astr.gsu.edu/hbase/electric/ohmlaw.html
			#http://farside.ph.utexas.edu/teaching/302l/lectures/node61.html
			#http://www.physicsclassroom.com/class/circuits/Lesson-4/Parallel-Circuits
			#http://science.howstuffworks.com/environmental/energy/circuit3.htm

	[[Category:Which Category did you place this in?]]		[[Category:Which Category did you place this in?]]

Ngoswami at 23:13, 5 December 2015

2015-12-05T23:13:43Z

← Older revision		Revision as of 19:13, 5 December 2015
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	When the paths of a parallel circuit branch off from the original path, the currents of those paths will always add up to the current of the original path.		When the paths of a parallel circuit branch off from the original path, the currents of those paths will always add up to the current of the original path.

			[[File:Parallel Circuit.jpeg]]

	==Connectedness==		==Connectedness==
	#~~How is this topic connected~~ to ~~something~~ that ~~you are interested~~ in?		#In middle school, I made a house with working appliances. It was such an enthralling experience, and I enjoyed making the circuits and figuring out which ones would work best by calculating battery wattage and application resistance.
	#~~How is it connected~~ to ~~your major?~~		#I am a computer science major, but if I want to do into the devices thread, knowing how these circuits work would be beneficial. With that knowledge in addition to computer programming knowledge, I would be able to thoroughly understand the top-down making of the device.
	~~#Is there an interesting industrial application?~~		#Circuits are used all around us. From within our appliances to the outlets we plug them into, circuits are the basis of most technology we use today. You could apply circuits to almost any industry.

	==History==		==History==

Ngoswami at 23:01, 5 December 2015

2015-12-05T23:01:41Z

← Older revision		Revision as of 19:01, 5 December 2015
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	The current is constant throughout the paths in series.		The current is constant throughout the paths in series.

			[[File:nseries.jpg]]

Ngoswami at 22:38, 5 December 2015

2015-12-05T22:38:52Z

← Older revision		Revision as of 18:38, 5 December 2015
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	<math> \mathbf{I} = </math> Current		<math> \mathbf{I} = </math> Current

			<math> \mathbf{I} = \frac {\mathbf{V}} {\mathbf{R}} </math>

	==Series Circuits==		==Series Circuits==

Ngoswami at 22:36, 5 December 2015

2015-12-05T22:36:54Z

← Older revision		Revision as of 18:36, 5 December 2015
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	==Series Circuits==		==Series Circuits==
	A series circuit is when all the resistors within the circuit are on one path. There is one path leading from the power source, through the resistors, and back to the source.		A series circuit is when all the resistors within the circuit are on one path. There is one path leading from the power source, through the resistors, and back to the source.

	Total resistance in a series circuit is calculated by adding the resistance of all the resistors in series together.		Total resistance in a series circuit is calculated by adding the resistance of all the resistors in series together.

			<math> \mathbf{R}_{total} = \mathbf{R}_{1} + \mathbf{R}_{2} + \mathbf{R}_{3} + ... </math>

	The current is constant throughout the paths in series.		The current is constant throughout the paths in series.



	==Parallel Circuits==		==Parallel Circuits==
	A parallel circuit is when there is more than one path leading from the power source for the current to flow through.		A parallel circuit is when there is more than one path leading from the power source for the current to flow through.
	Total resistance in a parallel circuit is calculated by adding the inverse of each resistor in the parallel wires and then taking the inverse of the total.		Total resistance in a parallel circuit is calculated by adding the inverse of each resistor in the parallel wires and then taking the inverse of the total.

			<math> \frac {1} {\mathbf{R}_{total}} = \frac {1} {\mathbf{R}_{1}} + \frac {1} {\mathbf{R}_{2}} + \frac {1} {\mathbf{R}_{3}} + ... </math>

	When the paths of a parallel circuit branch off from the original path, the currents of those paths will always add up to the current of the original path.		When the paths of a parallel circuit branch off from the original path, the currents of those paths will always add up to the current of the original path.