JEE Main 2021 — Electromagnetic Induction Question with Solution

A circular conducting coil of radius 1 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 $$\mu$$$$\Omega$$. 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 = ___________ mJ.