The current through a 10 \mathrm{H} inductor is given by
i_{L}(t)=\left\{\begin{aligned}40 t,\quad & 0 \leq t \leq 4 \mathrm{~s} \\140+5 t,\quad & 4 \leq t \leq 8 \mathrm{~s} \\180,\quad & t \geq 8 \mathrm{~s}\end{aligned}\quad(\mathrm{~A}).\right.Find the voltage across the inductor, as well as its power and the stored energy.