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*[[Kirchoff's 1st Law]] is used in network analysis techniques such as mesh analysis and nodal analysis.
*[[Kirchoff's 1st Law]] applies to both [[Direct Current|DC]] and [[Alternating Current|AC]] circuits.
===Formula===
*<math>\sum I_n=I_1 + I_2 + I_3 +...=0</math>
*<math>\sum I_{in}=\sum I_{out}</math>
Where:
*<math>\sum I_n</math> represents the sum of all [[Electrical Current|currents]] at [[junction]],
*<math>I_1 + I_2 + I_3 +...</math> represents the individual [[Electrical Current|currents]] in each [[wire]] attached to the [[junction]],
*<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===
*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.