Question

If $0.1J$ of energy is stored for the flow of current of $0.2A$ in an inductor, then its inductance value is:

• A. $5H$
• B. $0.5H$
• C. $5mH$
• D. $50H$
• E. $50mH$

Answer 1

The correct option is A $5H$

The energy stored in a inductor is given by the formula
$U=\frac{1}{2}L{i}^2$
Given, $U=0.1J$, $I=0.2A$
$0.1=\frac{1}{2}L\times (0.2{)}^2$
$\Rightarrow L=\frac{2\times 0.1}{(0.2{)}^2}=\frac{0.2}{0.2\times 0.2}$
$L=\frac{10}{2}=5$ H.