A cylindrical space of radius $R$ is filled with a uniform magnetic induction $B$, parallel to the axis of the cylinder. If $\frac{\mathrm{d}B}{\mathrm{d}t}=\mathrm{constant}$, the graph showing the variation of induced electric field with distance $r$ from the axis of cylinder is 

The figure shows three regions of magnetic field, each of area $A$. In each region, the magnitude of magnetic field decreases at a constant rate $\alpha$. If $\overrightarrow{E}$ is the induced electric field, then the value of the line integral, $\oint \overrightarrow{E}.\overrightarrow{dl}$, along the given loop, is equal to

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 $\frac{dB}{dt}$. A negative charge of magnitude $e$ is placed at point $P$ on the periphery of the field. Its acceleration is

As a result of the change in the magnetic flux linked to the closed loop, shown in the figure, an emf of $V \mathrm{volt}$ is induced in the loop. The work done (in $\mathrm{joule}$) in taking a charge of $Q \mathrm{coulomb}$ once along the loop is

A time-varying voltage $V=2t \mathrm{volt}$ is applied across an ideal inductor of inductance $L=2 \mathrm{H}$, as shown in the figure. Select the incorrect statement.

Two different coils have self inductance $L_1=8 \mathrm{mH}$ and $L_2=2 \mathrm{mH}$, respectively. The current in one coil is increased at a constant rate and the current in the second coil is also increased at the same constant rate. At a certain instant of time, the power given to the two coils is same. At that time, the current, the induced voltage and the energy stored in the first coil are $i_1, V_1$ and $W_1$, respectively. The corresponding values for the second coil, at the same instant, are $i_2, V_2$ and $W_2$, respectively. Now, select the incorrect option.