A circular conducting coil of radius 1   m is being heated by the change of magnetic field B →…

A circular conducting coil of radius $1 \mathrm{m}$ is being heated by the change of magnetic field $\overrightarrow{B}$ passing perpendicular to the plane in which the coil is laid. The resistance of the coil is $2 \mathrm{\mu \Omega }$. The magnetic field is slowly switched off such that its magnitude changes in time as  

$B=\frac{4}{\pi }\times {10}^{-3} T\left(1-\frac{t}{100}\right)$

The energy dissipated by the coil before the magnetic field is switched off completely is $E=\_\_\_\_\_\_\mathrm{mJ}$.