Question

A current of $2A$is increasing at a rate of $4A/s$ through a coil of inductance$2H$. What is the energy stored in the inductor per unit of time?

Answer 1

Step 1: Given data

Electric current flowing through the coil, $i=2A$

Inductance of the coil, $L=2H$

Rate of change of current, $\frac{di}{dt}=4A/s$

Energy stored in the inductor per unit of time, $E=?$

Step 2: Formula used

$E=Li\frac{di}{dt}$ ………………………(a)

Step 3: Calculation of the energy stored in the inductor per unit of time

Substituting the given values in equation (a), we get

$$\begin{gathered} E=2H\times 2A\times 4A/s \\ E=16W \end{gathered}$$

Hence, the energy stored in the inductor per unit of time is equal to $16W$.