Difference between revisions of "Kirchoff's 1st Law"
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<math>\sum I_n=I_1 + I_2 + I_3 +...=0</math> | <math>\sum I_n=I_1 + I_2 + I_3 +...=0</math> | ||
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| + | <math>\sum I_{in}=\sum I_{out}</math> | ||
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| + | Where: | ||
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| + | <math>\sum I_n</math> represents the sum of all [[Electrical Current|currents]] at [[junction]], | ||
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| + | <math>I_1 + I_2 + I_3 +...</math> represents the [[Electrical Current|current]] in each individual [[wire]] attached to the [[junction]], | ||
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| + | <math>\sum I_{in}</math> represents the sum of all [[Electrical Current|currents]] going into a [[junction]], | ||
| + | |||
| + | <math>\sum I_{out}</math> represents the sum of all [[Electrical Current|currents]] leaving a [[junction]] | ||
===Examples=== | ===Examples=== | ||
*In a [[Parallel Circuit|parallel circuit]], the sum of currents through each branch equals the total [[Electrical Current|current]] entering the [[junction]]. | *In a [[Parallel Circuit|parallel circuit]], the sum of currents through each branch equals the total [[Electrical Current|current]] entering the [[junction]]. | ||
*Used to determine unknown currents in electrical network problems. | *Used to determine unknown currents in electrical network problems. | ||
Revision as of 09:08, 23 May 2024
Key Stage 5
Meaning
Kirchoff's 1st Law states that the total current entering a junction is equal to the total current leaving the junction.
About Kirchhoff's First Law
- Also known as the current law or junction rule.
- Kirchoff's 1st Law is based on the conservation of charge.
- Kirchoff's 1st Law is essential for analyzing complex electrical circuits.
- In Kirchoff's 1st Law the algebraic sum of currents at a junction is equal to zero.
- Kirchoff's 1st Law helps in solving circuit problems by setting up equations based on current conservation.
- Kirchoff's 1st Law is used in network analysis techniques such as mesh analysis and nodal analysis.
- Kirchoff's 1st Law applies to both DC and AC circuits.
Formula
\(\sum I_n=I_1 + I_2 + I_3 +...=0\)
\(\sum I_{in}=\sum I_{out}\)
Where\[\sum I_n\] represents the sum of all currents at junction,
\(I_1 + I_2 + I_3 +...\) represents the current in each individual wire attached to the junction,
\(\sum I_{in}\) represents the sum of all currents going into a junction,
\(\sum I_{out}\) represents the sum of all currents leaving a junction
Examples
- In a parallel circuit, the sum of currents through each branch equals the total current entering the junction.
- Used to determine unknown currents in electrical network problems.