Series Circuits
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.
- [math]\displaystyle{ \sum{V}_{Battery} - \sum{V}_{Components} = 0 }[/math]
- Through Kirchhoff's Current Law, we know that the sum of all current going in must equal the sum of all current going out.
A Computational Model
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