The magnetic potential energy stored in a certain inductor is 25 mJ, when the current in the inductor is 60 mA. This inductor is of inductance

Concept:

In most electronic circuits inductor is used to save magnetic energy when electricity is passed through it. Therefore, Inductors are used as energy storage devices.

Energy stored in inductor when current I flows through it is

\(U = \frac{1}{2}L{I^2}\)

where L is the inductance of the inductor.

Calculation:

Given:

Magnetic potential energy, U = 25mJ

Current in the inductor = 60 mA

Energy stored in inductor

\(U = \frac{1}{2}L{I^2}\)

25 × 10^-3 = \(\frac{1}{2}\) × L × (60 × 10^-3)² 

\(L = \frac{{25 \times 2 \times {{10}^6} \times {{10}^{ - 3}}}}{{3600}}\)

\( = \frac{{500}}{{36}}\)

= 13.89 H