The current $I$ through a coil varies with time $t$ as shown in the graph. Plot the graph for the induced $emf$ $e$ versus time $t$ for the coil.

The current $(I)$ in the inductance is varying with time according to the plot shown in the figure. Which one of the following is the correct variation of voltage $(V)$ with time in the coil?

The adjoining figure shows two different arrangements in which two square wire frames are placed in a uniform constantly decreasing magnetic field $B.$ If $I_1$ and $I_2$ are the magnitudes of induced current in the cases $I$ and $II$,respectively,then

$A$ conducting wire frame is placed in a magnetic field which is directed into the paper. The magnetic field is increasing at a constant rate. The directions of induced currents in wires $AB$ and $CD$ are

When a coil is placed in a time-dependent magnetic field, the power dissipated in it is $P$. The number of turns, area of the coil, and radius of the coil wire are $N, A$, and $r$ respectively. For a second coil, the number of turns, area, and radius are $2N, 2A$, and $3r$ respectively. When the first coil is replaced with the second coil, the power dissipated in it is $\alpha P$. The value of $\alpha$ is . . . . . . .

In a coil of resistance $100 \ \Omega$,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......$Wb$.