The current through two inductors of $12 \mathrm{mH} \mathrm{and} 30 \mathrm{mH}$ is increasing with time at the same rate. Draw the graphs showing the variation of the energy stored in each inductor with the current flowing through it. Compare the energy stored in the coils if the power dissipated in the coil is the same. 

A metallic rod of length $l$ is tied to a string of length $2l$ and made to rotate with angular speed $\omega$ on a horizontal table with one end of the string fixed. If there is a vertical magnetic field B in the region, the e.m.f. induced across the ends of the rod is:

In the following circuit the switch $S$is closed at $t =0$. The charge on the capacitor $C_1$ as a function of time will be given by $\left(C_{eq}= \frac{C_1{C}_2}{C_1+ C_2}\right)$

A square frame of side $10 \mathrm{cm}$ and a long straight wire carrying current $1 \mathrm{A}$ are in the plane of the paper. Starting from close to the wire, the frame moves towards the right with a constant speed of $10 \mathrm{m} {\mathrm{s}}^{-1}$ (see figure). The e.m.f induced at the time the left arm of the frame is at $x=10 \mathrm{cm}$ from the wire is

In a coil of resistance $100 \mathrm{\Omega }$, a current is induced by changing the magnetic flux through it as shown in the figure. The magnitude of change in flux through the coil is:

The figure shows a circular area of tthe radius $R$ where a uniform magnetic field $\overrightarrow{B}$ is going into the plane of the paper and increasing in magnitude at a constant rate. In that case, which of the following graphs, drawn schematically, correctly shows the variation of the induced electric field $E\left(r\right)$?