Question

An inductor coil of inductance L is divided into two equal parts and both parts are connected in parallel. The net inductance is :

• A. $L$
• B. $2L$
• C. $L/2$
• D. $L/4$

Answer 1

The correct option is D $L/4$

When a inductor coil is cur into two equal parts, inductance of each half part becomes half the inductance of original coil.
Inductance of each half part $L_1=L_2=\frac{L}{2}$
Equivalent inductance of two inductors connected in parallel $L_{eq}=\frac{L_1\times L_2}{L_1+L_2}$
$⟹L_{eq}=\frac{\frac{L}{2}\times \frac{L}{2}}{\frac{L}{2}+\frac{L}{2}}=\frac{L}{4}$