An inductance of $2\,H$ carries a current of $2\,A$. To prevent sparking when the circuit is broken,a capacitor of $4\,\mu F$ is connected across the inductance. The voltage rating of the capacitor is of the order of

$AB$ is a part of an electrical circuit (see figure). The potential difference $V_{A}-V_{B}$, at the instant when current $i=2 \text{ A}$ and is increasing at a rate of $1 \text{ A/s}$, is: (in $\text{ V}$)

$A$ circular coil of $500$ turns of wire has an enclosed area of $0.1\,m^2$ per turn. It is kept perpendicular to a magnetic field of induction $0.2\,T$ and rotated by $180^o$ about a diameter perpendicular to the field in $0.1\,s$. How much charge will pass when the coil is connected to a galvanometer with a combined resistance of $50\,\Omega$?

$A$ short bar magnet passes at a steady speed right through a long solenoid. $A$ galvanometer is connected across the solenoid. Which graph best represents the variation of the galvanometer deflection $\theta$ with time $t$?

$A$ square loop of side $5 \ cm$ enters a magnetic field with a velocity of $1 \ cm/s$. The front edge enters the magnetic field at $t = 0$. Which graph best depicts the induced $emf$?

On what factor does the induced current depend?