A long solenoid of diameter $0.1 \mathrm{m}$ has $2\times {10}^4$ turns per metre. At the centre of the solenoid, a coil of $100$ turns and radius $0.01 \mathrm{m}$ is placed with its axis coinciding with the solenoid axis. The current in the solenoid reduces at a constant rate to $0 \mathrm{A}$ from $4 \mathrm{A}$ in $0.05 \mathrm{s}$. If the resistance of the coil is $10{\mathrm{\pi }}^2 \mathrm{\Omega }$, the total charge flowing through the coil during this time is

Predict the direction of induced current in the situations described by the following figure.

Predict the direction of induced current in the situations described by the following figure.

Use Lenz’s law to determine the direction of induced current in the situation described by figure:

A wire of irregular shape turning into a circular shape.

A conducting rod $PQ$, of length $L=1.0 \mathrm{m}$, is moving with a uniform speed $v=2 \mathrm{m} {\mathrm{s}}^{-1}$, in a uniform magnetic field $B=4.0 \mathrm{T}$, directed into the paper. A capacitor of capacity $C=10 \mathrm{\mu F}$ is connected, as shown in diagram. Then,