An inductor coil of inductance $L$ is divided into two parts and both parts are connected in parallel. The…
An inductor coil of inductance $L$ is divided into two parts and both parts are connected in parallel. The net inductance is
L
2 L
$\frac{\mathrm{L}}{2}$
$\frac{\mathrm{L}}{4}$
Solution
Inductance is proportional to the length of the coil so each part will have inductance $\frac{\mathrm{L}}{2}$
Net inductance $=\frac{\mathrm{L}_1 \mathrm{~L}_2}{\mathrm{~L}_1+\mathrm{L}_2}=\frac{\frac{\mathrm{L}}{2} \times \frac{\mathrm{L}}{2}}{\frac{\mathrm{~L}}{2}+\frac{\mathrm{L}}{2}}=\frac{\mathrm{L}}{4}$