A LR circuit is connected to a battery at time $t=0$. The energy stored in the inductor reaches half

Question

A LR circuit is connected to a battery at time $t=0$. The energy stored in the inductor reaches half its maximum value at time

Professor PC Thomas Classes · Answer

Energy in inductor is $U = \frac{1}{2} L i^2$. It reaches half its maximum when $i = i_{max}/\sqrt{2}$. Solve using the LR growth equation.