A series LR circuit is connected to a voltage source with $\mathrm{V}\left(\mathrm{t}\right)={\mathrm{V}}_0 \sin \mathrm{\Omega t}$. After very large time, current I(t) behave as $\left({\mathrm{t}}_0\gg \frac{\mathrm{L}}{\mathrm{R}}\right)$:

After a very long time, current will behave as sinusoidal wave as it is connected to AC and its equation are given by:

$\mathrm{i}={\mathrm{i}}_0\sin (\Omega t-\mathrm{\varphi })$.