First slide

Inductance

Question

Two pure inductors each of self inductance L are connected in parallel but are well separated from each other. The total inductance is

Moderate

A

2L
B

L
C

$\frac{L}{2}$
D

$\frac{L}{4}$

Solution

Inductors obey the laws of parallel and series combination of resistors.
$L_{p a r a l l e l} = \frac{L_{1} L_{2}}{L_{1} + L_{2}} = \frac{L_{} L_{}}{L + L_{}} = \frac{L}{2}$

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