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:

A circular loop of wire is in the same plane as an infinitely long wire carrying a constant current $i$. Four possible motions of the loop are marked by $\mathrm{N}, \mathrm{E}, \mathrm{W}$, and $\mathrm{S}$ as shown. A clockwise current is induced in the loop when the loop is pulled towards:

An arrangement with a pair of quarter circular coils of radii $r$ and $R$ with a common centre $C$ and carrying a current $I$ is shown.

The permeability of free space is $\mu_{0}$. The magnetic field at $C$ is

An electron enters a chamber in which a uniform magnetic field is present as shown.

An electric field of appropriate magnitude is also applied so that the electron travels undeviated without any change in its speed through the chamber. We are ignoring gravity. Then, the direction of the electric field is

A black box $\left(BB\right)$ which may contain a combination of electrical circuit elements (resistor, capacitor or inductor) is connected with other external circuit elements as shown below in the figure $\left(a\right)$. After the switch $\left(S\right)$ is closed at time $t=0,$ the current $\left(I\right)$ as a function of time $\left(t\right)$ is shown in the figure $\left(b\right)$ From this we can infer that the black box contains

The figure shows a bar magnet and a metallic coil. Consider four situations,
(I) Moving the magnet away from the coil.
(II) Moving the coil towards the magnet.
(III) Rotating the coil about the vertical diameter.
(IV) Rotating the coil about its axis.

An emf in the coil will be generated for the following situations.