Parallel Circuits - Revision history

Sydney: /* Connectedness */

2019-11-07T22:26:12Z

Connectedness

← Older revision		Revision as of 18:26, 7 November 2019
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	Circuits can be applied to many areas. However, it is rare that we can find a true parallel circuit in the real world. Many times, real world examples combine both series and parallel circuits. But with some generalizations, we can find examples of parallel circuits in our everyday lives. For example, your phone's battery supplies voltage to the various components and devices within your phone, such as the processor, memory, display, etc., and these are all connected in parallel. On a larger scale, electric or power grids distribute electricity in parallel to the consumers that need it.		Circuits can be applied to many areas. However, it is rare that we can find a true parallel circuit in the real world. Many times, real world examples combine both series and parallel circuits. But with some generalizations, we can find examples of parallel circuits in our everyday lives. For example, your phone's battery supplies voltage to the various components and devices within your phone, such as the processor, memory, display, etc., and these are all connected in parallel. Electricity to houses is typically set up in parallel so that one appliance or light can be used without having to use all of them(which would be necessary in series to complete the circuit). On a larger scale, electric or power grids distribute electricity in parallel to the consumers that need it.

	==History==		==History==

Sydney: /* Examples */

2019-11-07T22:23:37Z

Examples

← Older revision		Revision as of 18:23, 7 November 2019
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	===Middling===		===Middling===

			'''Question'''

	'''Calculate the total current of the following circuit.'''		'''Calculate the total current of the following circuit.'''
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	~~===~~Solution~~===~~		'''Solution'''

	Start by finding the total resistance of the circuit.		Start by finding the total resistance of the circuit.
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	===Difficult===		===Difficult===

			'''Question'''

	'''Calculate the total current of the following circuit.'''		'''Calculate the total current of the following circuit.'''
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	~~===~~Solution~~===~~		'''Solution'''

	This problem relies on understanding both series and parallel circuits. See [[Series Circuits]] if any of the following assumptions are unclear.		This problem relies on understanding both series and parallel circuits. See [[Series Circuits]] if any of the following assumptions are unclear.

Sydney: /* References */

2019-11-06T21:25:43Z

References

← Older revision		Revision as of 17:25, 6 November 2019
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	*[https://www.swtc.edu/Ag_Power/electrical/lecture/parallel_circuits.htm Parallel Circuits]		*[https://www.swtc.edu/Ag_Power/electrical/lecture/parallel_circuits.htm Parallel Circuits]
	*[http://science.howstuffworks.com/environmental/energy/circuit.htm How Circuits Work]		*[http://science.howstuffworks.com/environmental/energy/circuit.htm How Circuits Work]
	*[https://www.physicsclassroom.com/Physics-Interactives/Electric-Circuits/Circuit-Builder/Circuit-Builder-Interactive]		*[https://www.physicsclassroom.com/Physics-Interactives/Electric-Circuits/Circuit-Builder/Circuit-Builder-Interactive Physics Classroom]
	*[https://www.circuitlab.com/circuit/g2qzxs/resistors-in-series-and-parallel/]		*[https://www.circuitlab.com/circuit/g2qzxs/resistors-in-series-and-parallel/ Circuit Lab]

	[[Category:Simple Circuits]]		[[Category:Simple Circuits]]

Sydney: /* References */

2019-11-06T21:25:08Z

References

← Older revision		Revision as of 17:25, 6 November 2019
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	*[https://www.swtc.edu/Ag_Power/electrical/lecture/parallel_circuits.htm Parallel Circuits]		*[https://www.swtc.edu/Ag_Power/electrical/lecture/parallel_circuits.htm Parallel Circuits]
	*[http://science.howstuffworks.com/environmental/energy/circuit.htm How Circuits Work]		*[http://science.howstuffworks.com/environmental/energy/circuit.htm How Circuits Work]
			*[https://www.physicsclassroom.com/Physics-Interactives/Electric-Circuits/Circuit-Builder/Circuit-Builder-Interactive]
			*[https://www.circuitlab.com/circuit/g2qzxs/resistors-in-series-and-parallel/]

	[[Category:Simple Circuits]]		[[Category:Simple Circuits]]

Sydney: /* A Computational Model */

2019-11-06T21:23:55Z

A Computational Model

← Older revision		Revision as of 17:23, 6 November 2019
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	This [https://www.physicsclassroom.com/Physics-Interactives/Electric-Circuits/Circuit-Builder/Circuit-Builder-Interactive website] is a simple circuit builder that can be used to simulate circuits in parallel(or in series).		This [https://www.physicsclassroom.com/Physics-Interactives/Electric-Circuits/Circuit-Builder/Circuit-Builder-Interactive website] is a simple circuit builder that can be used to simulate circuits in parallel(or in series).

			[[File:Parallel circuit2.png\|500px]]

	This [https://www.circuitlab.com/circuit/g2qzxs/resistors-in-series-and-parallel/ website] is a more complicated circuit builder that can also be used to model parallel or series circuits and test the differences in current, voltage, and resistance with with various setups.		This [https://www.circuitlab.com/circuit/g2qzxs/resistors-in-series-and-parallel/ website] is a more complicated circuit builder that can also be used to model parallel or series circuits and test the differences in current, voltage, and resistance with with various setups.

			[[File:Parallel circuit1.png\|400px]]

	==Examples==		==Examples==

Sydney: /* The Main Idea */

2019-11-06T21:07:52Z

The Main Idea

← Older revision		Revision as of 17:07, 6 November 2019
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	==The Main Idea==		==The Main Idea==
	[[Image:Pc1.png\|right\|thumb\|A simple parallel circuit. R1 and R2 lie on different branches of the circuit.]]		[[Image:Pc1.png\|right\|thumb\|A simple parallel circuit. R1 and R2 are in parallel because they lie on different branches of the circuit.\|330px]]
	Components of a circuit can be connected in two main ways, in series or in parallel. This page focuses on components connected in ''parallel'', which means that the components are connected such that the same voltage is applied to each component. A '''parallel circuit''' is a circuit that is connected entirely in parallel. Each component in a parallel circuit occupies its own ''branch'', or path in the circuit, and these branches are connected at locations called ''nodes''. Thus a charge passing through the circuit has multiple possible paths that it can take when it reaches a node. This property is the reason why adding an additional resistor in a parallel circuit results in a decreased total resistance of the circuit (since there is an additional path that the charges can follow). Likewise, if a path is removed, or if the circuit is broken in a single path, more charge is forced to flow through the remaining paths, and the total resistance increases.		Components of a circuit can be connected in two main ways, in series or in parallel. This page focuses on components connected in ''parallel'', which means that the components are connected such that the same voltage is applied to each component. A '''parallel circuit''' is a circuit that is connected entirely in parallel. Each component in a parallel circuit occupies its own ''branch'', or path in the circuit, and these branches are connected at locations called ''nodes''. Thus a charge passing through the circuit has multiple possible paths that it can take when it reaches a node. This property is the reason why adding an additional resistor in a parallel circuit results in a decreased total resistance of the circuit (since there is an additional path that the charges can follow). Likewise, if a path is removed, or if the circuit is broken in a single path, more charge is forced to flow through the remaining paths, and the total resistance increases.

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	Each lightbulb acts like a resistor in the previous circuit schematic.		Each lightbulb acts like a resistor in the previous circuit schematic.

			This [https://www.physicsclassroom.com/Physics-Interactives/Electric-Circuits/Circuit-Builder/Circuit-Builder-Interactive website] is a simple circuit builder that can be used to simulate circuits in parallel(or in series).


			This [https://www.circuitlab.com/circuit/g2qzxs/resistors-in-series-and-parallel/ website] is a more complicated circuit builder that can also be used to model parallel or series circuits and test the differences in current, voltage, and resistance with with various setups.

	==Examples==		==Examples==

Sydney: /* Examples */

2019-11-06T20:25:56Z

Examples

← Older revision		Revision as of 16:25, 6 November 2019
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	===Simple===		===Simple===

	'''Calculate the total resistance of this parallel circuit.~~'''~~		'''Question'''

			Calculate the total resistance of this parallel circuit.

	[[Image:pc3.png]]		[[Image:pc3.png]]


	~~===~~Solution~~===~~		'''Solution'''

	Start by applying the formula for the resistance of a parallel circuit.		Start by applying the formula for the resistance of a parallel circuit.

Alexoshin: /* Connectedness */

2017-11-30T04:15:45Z

Connectedness

← Older revision		Revision as of 00:15, 30 November 2017
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	Circuits can be applied to many areas. However, it is rare that we can find a true parallel circuit in the real world. Many times, real world examples combine both series and parallel circuits. But with some generalizations, we can find examples of parallel circuits in our everyday lives. For example, your phone's battery supplies voltage to the various components and devices within your phone, such as the ~~process~~, memory, display, etc., and these are all connected in parallel. On a larger scale, electric or power grids distribute electricity in parallel to the consumers that need it.		Circuits can be applied to many areas. However, it is rare that we can find a true parallel circuit in the real world. Many times, real world examples combine both series and parallel circuits. But with some generalizations, we can find examples of parallel circuits in our everyday lives. For example, your phone's battery supplies voltage to the various components and devices within your phone, such as the processor, memory, display, etc., and these are all connected in parallel. On a larger scale, electric or power grids distribute electricity in parallel to the consumers that need it.

	==History==		==History==

Alexoshin: /* Solution */

2017-11-30T04:15:22Z

Solution

← Older revision		Revision as of 00:15, 30 November 2017
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	Since R2 and R3+R4 are connected in parallel, we can use what we know about parallel circuits to further simplify the circuit.		Since R2 and R3+R4 are connected in parallel, we can use what we know about parallel circuits to further simplify the circuit.

	:::<math>\frac{1}{R}_{total}=\frac{1}{~~R_2~~}+\frac{1}{~~R_3~~+~~R_4~~}</math>		:::<math>\frac{1}{R}_{total}=\frac{1}{R2}+\frac{1}{R3+R4}</math>


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	Finally, these two simplified resistors are connected in series, so we can find the total resistance.		Finally, these two simplified resistors are connected in series, so we can find the total resistance.

	:::<math>R_{total}=(~~R_1~~+~~R_5~~)+(~~R_2~~+~~R_3~~+~~R_4~~)</math>		:::<math>R_{total}=(R1+R5)+(R2+R3+R4)</math>

Alexoshin at 04:12, 30 November 2017

2017-11-30T04:12:12Z

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