A small square loop of wire of side $l$ is placed inside a large square loop of wire of side $L(L >> l).$ The loops are co $-$ planar and their centres coincide. Find the mutual inductance of the system.

The circuit shown in figure is in the steady state with switch ${\mathrm{S}}_1$ closed and ${\mathrm{S}}_2$ is opened. At $\mathrm{t} = 0, {\mathrm{S}}_1$ is opened and switch ${\mathrm{S}}_2$ is closed.

Find the first instant $\mathrm{t}$, when energy in inductor becomes one third of that in capacitor.

The radius of the circular conducting loop shown in figure is $\mathrm{R}$. Magnetic field is decreasing at a constant rate $\mathrm{\alpha }$. Resistance per unit length of the loop is $\mathrm{\rho }$. Then current in wire $\mathrm{AB}$ is ($\mathrm{AB}$ is one of the diameters)

Consider the conducting square loop shown in the figure. If the switch is closed and after some time it is opened again, the closed loop will show

Consider the conducting square loop shown in the figure. If the switch is closed and after some time it is opened again, the closed loop will show

Solve the question if the square loop is completely enclosed in the circuit containing the switch.

A small, circular loop of wire is placed inside a long solenoid carrying a current. The plane of the loop contains the axis of the solenoid. If the current in the solenoid is varied, the current induced in the loop is

A horizontal solenoid is connected to a battery and a switch (figure). A conducting ring is placed on a frictionless surface, the axis of the ring being along the axis of the solenoid. As the switch is closed, the ring will

Two circular coils $\mathrm{A} \mathrm{and} \mathrm{B}$ are facing each other as shown in figure. The current $\mathrm{i}$ through A can be altered