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