Current Divider

Current splits between parallel branches in inverse proportion to their resistance.

Easy

For two parallel resistors fed with total current $I$ :

$I_1 = I \frac{R_2}{R_1 + R_2} \qquad I_2 = I \frac{R_1}{R_1 + R_2}$

The smaller resistance takes the larger share of the current. In general, with conductances: $I_k = I \dfrac{G_k}{\sum G}$ .

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