Series Circuits: Difference between revisions
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:A Series Circuit is a simple type of electrical circuit in which components are placed in succession of one another. | :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. | :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 | :Often times, the simple series circuit may include but are not limited to: a number of resistors, switches, and of course, batteries. | ||
===A Mathematical Model=== | ===A Mathematical Model=== | ||
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::Ohm's Law gives us the following formula: | ::Ohm's Law gives us the following formula: | ||
:::<math>V=IR</math>; it can be rearranged to yield <math>I=\frac{V}{R}</math> and <math>R = \frac{V}{I}</math> | :::<math>V=IR</math>; it can be rearranged to yield <math>I=\frac{V}{R}</math> and <math>R = \frac{V}{I}</math> | ||
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===A Computational Model=== | ===A Computational Model=== | ||
Revision as of 16:34, 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 but are not limited to: a number of resistors, switches, and of course, batteries.
A Mathematical Model
- Kirchhoff's Current and Voltage Laws 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 Current Law, we know that the sum of all current going in must equal the sum of all current going out.
- 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 Voltage Law, the sum of all voltage in a closed system must be zero.
- Ohm's Law is extremely useful in finding the voltages, resistances, and current throughout the series circuit.
- Ohm's Law gives us the following formula:
- [math]\displaystyle{ V=IR }[/math]; it can be rearranged to yield [math]\displaystyle{ I=\frac{V}{R} }[/math] and [math]\displaystyle{ R = \frac{V}{I} }[/math]
- Ohm's Law gives us the following formula:
A Computational Model
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