The figure shows a part of a complete circuit. The potential difference $V_B - V_A$ when the current $I$ is $5 \ A$ and is decreasing at a rate of $10^3 \ A \ s^{-1}$ is given by ........ $V$.

The plane of a circular coil of resistance $7.5 \ \Omega$ is placed perpendicular to a uniform magnetic field. The flux $\phi$ (in weber) through the coil varies with time $t$ (in second) as $\phi = 2t^2 + 3t - 2$. The induced power in the coil at time $t = 3 \ s$ is (in $W$)

Two similar circular loops carry equal currents in the same direction. On moving the coils further apart,the electric current will

$A$ conducting loop having a capacitor is moving outward from the magnetic field. Which plate of the capacitor will be positive?

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......$Wb$.