Figure shows a circuit having a coil of resistance R = 2.5 Ω and inductance L connected to a conducting rod of radius 10 cm with its center at P.Assume that friction and gravity are absent and a constant uniform magnatic field of 5T exists as shown in figure. At t=0, the circuit is switched on and simultaneously a time-varying external torque is applied on the rod so that it rotates about P with a constant angular velocity 40rads−1. Find the magnitude of this torque (in mNm) when current reaches half of its maximum value. Neglect the self inductance of the loop formed by the circuit.

