Saturday, April 30, 2011

Inductor networks

Inductor networks

Inductors in a parallel configuration each have the same potential difference (voltage). To find their total equivalent inductance (Leq):

A diagram of several inductors, side by side, both leads of each connected to the same wires
 \frac{1}{L_\mathrm{eq}} = \frac{1}{L_1} + \frac{1}{L_2} + \cdots +  \frac{1}{L_n}

The current through inductors in series stays the same, but the voltage across each inductor can be different. The sum of the potential differences (voltage) is equal to the total voltage. To find their total inductance:

A diagram of several inductors, connected end to end, with the same amount of current going through each
 L_\mathrm{eq} = L_1  + L_2 + \cdots + L_n \,\!

These simple relationships hold true only when there is no mutual coupling

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