$A$ 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 $50\,\Omega$?

The switches in figures $(a)$ and $(b)$ are closed at $t = 0$.

The figure shown has two coils of wires placed in close proximity. The current in primary coil $P$ is made to vary with time as shown in the graph. Which of the following graphs best represents the variation of the emf induced in the secondary coil $S$?

$A$ square metal loop of side $10 \, cm$ and resistance $1 \, \Omega$ is moved with a constant velocity partly inside a magnetic field of $2 \, Wb \cdot m^{-2}$,directed into the paper,as shown in the figure. This loop is connected to a network of five resistors each of value $3 \, \Omega$. If a steady current of $1 \, mA$ flows in the loop,then the speed of the loop is ..... $cm \cdot s^{-1}$.

$A$ square coil $ABCD$ is placed in the $x-y$ plane with its centre at the origin. $A$ long straight wire,passing through the origin,carries a current in the negative $z$-direction. The current in this wire increases with time. The induced current in the coil is:

Two different coils have inductances $L_1 = 4 \ mH$ and $L_2 = 2 \ mH$. At a certain instant,the current in the two coils is increasing at the same constant rate,and the power supplied to the first coil is four times that of the second coil. If $e$,$I$,and $U$ indicate the potential difference,current,and energy stored in the inductance respectively,then which of the following is correct?