In a cylindrical region uniform magnetic field which is perpendicular to the plane of the figure is increasing with time and a conducting rod $\mathrm{PQ}$ is placed in the region. If $\mathrm{C}$ is the centre of the circle then

A uniform magnetic field of induction $B$ is confined to a cylindrical region of radius $R$. The magnetic field is increasing at a constant rate of $\frac{dB}{dt}$(Tesla/second). An electron of charge q, placed at the point $\mathrm{P}$ on the periphery of the field experiences an acceleration :

The number of turns, cross-sectional area and length for four solenoids are given in the following table.

The solenoid with maximum self inductance is:

The battery shown in the figure is ideal. The values are $\mathrm{\epsilon }=10 \mathrm{V}, R=5 \mathrm{\Omega }, L=2\mathrm{H}$. Initially the current in the inductor is zero. The current through the battery at $t=2\mathrm{s}$ is

When induced emf in inductor coil is $50\%$ of its maximum value then stored energy in inductor coil in the given circuit at that instant will be :