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 μΩ. 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 = ____ mJ.
