Question

Two inductors of inductance $L$ each are connected in series with the opposite magnetic fluxes. The resultant inductance is

• A. Zero
• B. $L$
• C. $2L$
• D. $3L$

Answer 1

The correct option is C

$2L$

Inductors connected in series

1. When two inductors are connected in series, the resultant inductance becomes the sum of the inductance of the inductors.
2. The resultant inductance does not depend upon the direction of the magnetic flux.
3. Calculation of the resultant induction

$L_R=L_1+L_2$

Here, $L_R$ is the resultant inductance, $L_1$ and $L_2$ are the inductance of the respective inductors.

$$\begin{gathered} L_R=L+L \\ {L}_R=2L \end{gathered}$$

Hence, the resultant inductance is $2L$.

Therefore, option (C) is correct.