Series Circuits: Difference between revisions

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:Kirchhoff's Current and Voltage Laws do apply in a series circuit.
:Kirchhoff's Current and Voltage Laws do apply in a series circuit.
::Through Kirchhoff's Current Law, we know that the sum of all current going in must equal the sum of all current going out.
::Through Kirchhoff's Current Law, we know that the sum of all current going in must equal the sum of all current going out.
:::<math>{I}_{in} - {I}_{out} = 0</math>
:::<math>\sum{I}_{in} - \sum{I}_{out} = 0</math>
::Since there are no nodes for the current to split up, the current throughout a series circuit will always be the same through each component.
::Since there are no nodes for the current to split up, the current throughout a series circuit will always be the same through each component.
::Through Kirchhoff's Voltage Law, the sum of all voltage in a closed system must be zero.
::Through Kirchhoff's Voltage Law, the sum of all voltage in a closed system must be zero.

Revision as of 15:15, 30 November 2015

claimed by Mchan46

Main Idea

A Series Circuit is a simple type of electrical circuit in which components are placed in succession of one another.
The electrical connection is not branched in any way. One can visualize this circuit as simply a closed loop.
Often times, the simple series circuit may include a number of resistors, switches, capacitors, and of course, batteries.

A Mathematical Model

Kirchhoff's Current and Voltage Laws do apply in a series circuit.
Through Kirchhoff's Current Law, we know that the sum of all current going in must equal the sum of all current going out.
[math]\displaystyle{ \sum{I}_{in} - \sum{I}_{out} = 0 }[/math]
Since there are no nodes for the current to split up, the current throughout a series circuit will always be the same through each component.
Through Kirchhoff's Voltage Law, the sum of all voltage in a closed system must be zero.

A Computational Model

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