A circular coil of radius 10 cm, 500 turns and resistance 2 Ω is placed with its plane perpendicular to the horizontal component of the earth’s magnetic field. It is rotated about its vertical diameter through 180° in 0.25 s. Estimate the magnitude of the emf and current induced in the coil. Horizontal component of the earth’s magnetic field at the place is 3 X ${{10}^{-5}}$ T.

Here radius r = 10cm = {{10}^{-1}} m, N=500