Question

Find the equivalent inductance in the combination given below between points $\text{A}$ and $\text{B}$.

• A. $3.8\text{mH}$
• B. $3.1\text{mH}$
• C. $2.4\text{mH}$
• D. $5.6\text{mH}$

Answer 1

The correct option is B $3.1\text{mH}$

Identifying the series and parallel combination of inductors we can simplify the given circuit as follows,






The equivalent inductance between $\text{A}$ and $\text{B}$ is,

$L^{}=\frac{\frac{25}{3}\times 5}{\frac{25}{3}+5}=\frac{25}{8}=3.1\text{mH}$

<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> Hence, $\left(B\right)$ is the correct answer.