The energy stored in a coil of inductance 80 mH carrying a current of 2.5 A is

The mutual inductance of two coils is 8 mH . The current in one coil changes according to the equation $I=12 \sin 100 t$, where $I$ is in ampere and $t$ is time in second. The maximum value of emf induced in the second coil is

A circular coil of area $200 \mathrm{~cm}^2$ and 50 turns is rotating about its vertical diameter with an angular speed of $\theta$ $40 \mathrm{rads}^{-1}$ in a uniform horizontal magnetic field of magnitude $2 \times 10^{-2} \mathrm{~T}$. The maximum emf induced in the coil is

A train with an axle of length 1.66 m is moving towards north with a speed of $90 \mathrm{kmh}^{-1}$. If the vertical component of the earth's magnetic field is $0.2 \times 10^{-4} \mathrm{~T}$, the emf induced across the ends of the axle of the train is