Generalized Current Divider Formula
Corollary 1 The current of a certain branch (Is ) is the total current (I) scaled
by the ratio between total resistance (R) and branch resistance (Rs ).
R
Is = I
Rs
Proof.
Voltage across one branch and the whole mesh is the same. (They are the
same two points in the circuit topology)
I derived this formula to simplify calculations to multiple branches, but I
never saw it taught in circuit classes. Maybe the professors/educators expect
you to do it two at a time and cascade them.
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