A circular conducting coil of radius 1 m is being heated by the change of magnetic field B passing perpendicular to the plane in which the coil is…

A circular conducting coil of radius $\displaystyle 1$ m is being heated by the change of magnetic field $\displaystyle \vec{B}$ passing perpendicular to the plane in which the coil is laid. The resistance of the coil is $\displaystyle 2 \mu \Omega$. The magnetic field is slowly switched off such that its magnitude changes in time as $$\mathrm{B}=\frac{4}{\pi} \times 10^{-3} \mathrm{~T}\left(1-\frac{t}{100}\right) $$ The energy dissipated by the coil before the magnetic field is switched off completely is $\displaystyle \mathrm{E}=$ \_\_\_\_ mJ.