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Electromagnetism
> Kirchhoff's Current Law
Kirchhoff's Current Law
The total current flow into a surface is positive, therefore the current flow outside or leaving the surface must be minus, therefore the current leaving the surface can be written as:
The current leaving the source is the total outward flux of the current density vector through surface S. Using divergence theorem we have:
or
For a steady current the current density does not vary with the time, therefore
, and we have:
and
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