Question

The current in a coil of self inductance $2.0\ H$ is increasing according to $I = 2\ sin(t^2)\ A$. The amount of energy spent during the period when current changes from 0 to $2\ A$ is _______ $J$.

Answer 1

The amount of energy,
$U = \frac 12LI^2$

$U = \frac 12\times 2\times 2^2$
$U = 4\ J$

So, the answer is $4\ J$.