A sinusoidal current of $i_1(t)=1 \sin (200 \pi t) \mathrm{mA}$ is flowing through a $4~ \mathrm{H}$ inductor which is mutually coupled to another $5 ~ \mathrm{H}$ inductor carrying
$$
\mathrm{i}_2(t)=2 \sin (200 \pi t) \mathrm{~mA}
$$
as shown in the figure. The coupling coefficient between the inductors is $0.6.$ The peak energy stored in the circuit is_____________$\mu \mathrm{J}$ (rounded off to two decimal places).
