Two identical circular coils $A$ and $B$ are kept on a horizontal tube side by side without touching each other. If the current in the coil $A$ increases with time,in response,the coil $B$

$A$ rectangular coil of $20$ turns and area of cross section $25 \text{ cm}^2$ has a resistance of $100 \Omega$. If a magnetic field which is perpendicular to the plane of the coil changes at a rate of $100 \text{ T/s}$, the current in the coil is . . . . . . . (in $\text{ A}$)

$A$ bar magnet falls with its north pole pointing down through the axis of a copper ring. When viewed from above,the current in the ring will be

Derive the formula for induced charge and prove that it is independent of the rate of change of magnetic flux.

The magnetic flux linked with a coil,in weber,is given by the equation $\phi = 5t^2 + 3t + 16$. The induced emf in the coil in the fourth second is.....$V$

In a circuit with a coil of resistance $2\, \Omega$,the magnetic flux changes from $2.0\, Wb$ to $10.0\, Wb$ in $0.2\, s$. The charge that flows in the coil during this time is..........$C$.