A circular loop of wire of radius 14 cm is placed in magnetic field directed perpendicular to the plane of the loop. If the field decreases at a steady rate of $$0.05 \mathrm{~Ts}^{-1}$$ in some interval, then the magnitude of the emf induced in the loop is

A circular coil has 100 turns, radius 3 cm and resistance $$4 \Omega$$. This coil is co-axial with a solenoid of 200 turns/$$\mathrm{cm}$$ and diameter 4 cm . If the solenoid current is decreased from 2 A to zero in 0.04 s , then the current induced in the coil is

An AC generator consists of a coil of 100 turns and is of cross-sectional area $$3 \mathrm{~m}^2$$. It is rotating at a constant angular speed of $$60 \mathrm{~rads}^{-1}$$ in a uniform magnetic field of $$0.04 \mathrm{~T}$$. Resistance of the coil is $$360 \Omega$$. What is the maximum power dissipation in the coil?