$A$ 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 $1 \, m$ is placed in a perpendicular magnetic field. Half of the area of the loop is inside the magnetic field. $A$ battery of $emf$ $10 \, V$ and negligible internal resistance is connected in the loop. The magnetic field changes with time according to the relation $B = (0.01 - 2t) \, Tesla$. The resultant $emf$ in the loop will be.....$V$

An infinitely long cylinder is kept parallel to a uniform magnetic field $B$ directed along the positive $z$-axis. The direction of the induced current as seen from the $z$-axis will be

Two identical coaxial circular loops carry a current $i$ each,circulating in the same direction. If the loops approach each other,then:

The switch $S$ of the circuit shown in the figure is closed at $t = 0$. If $e$ denotes the induced emf in the inductor $L$ and $i$ denotes the current flowing through the circuit at time $t$,which of the following graphs correctly represents the variation of $e$ with time $t$?

The network shown in the figure is part of a complete circuit. If at a certain instant the current $i$ is $5 \, A$ and is decreasing at the rate of $10^3 \, A/s$, then $V_B - V_A$ is: (in $ \, V$)