A metallic conductor of $1 \mathrm{m}$ length is rotated in a vertical plane about its one end at an angular velocity of $5 \mathrm{rad} {\mathrm{s}}^{-1}$. If the horizontal component of the earth's field is $0.2\times {10}^{-4} \mathrm{T}$, the voltage generated between the ends of the conductor will be

In the figure magnetic energy stored in the coil is (in steady-state)

The rate of change of current in the inductor initially is

Both the inductors and the cell are ideal. Find the current (in $\mathrm{ampere}$) in the inductor of $2 \mathrm{H}$ in steady-state.

A metallic square wire frame $ABCD$ of side a is moving with a constant velocity $v$ in a uniform magnetic field $B$ as shown. The emf induced between points $A$ and $C$ is: