Question

Show that if two inductors with equal inductance $L$ are connected in parallel then the equivalent inductance of the combination is $L/2$. The inductors are separated by a large distance.

Answer 1

If two inductors are connected in parallel then,

$\begin{array}{c}\frac{1}{L_{eq}}=\frac{1}{L_1}+\frac{1}{L_2}\\ Given,\\ L_1=L_2=L\\ \frac{1}{L_{eq}}=\frac{1}{L}+\frac{1}{L}=\frac{2}{L}\\ L_{eq}=\frac{L}{2}\end{array}$