The magnetic flux through a circuit of resistance $R$ changes by an amount $\Delta \phi$ in the time $\Delta t$. The total quantity of electric charge $Q$ which passes during this time through any point of the circuit is

$A$ coil having an area $2\,m^2$ is placed in a magnetic field which changes from $1\,Wb/m^2$ to $4\,Wb/m^2$ in an interval of $2$ seconds. The $e.m.f.$ induced in the coil will be......$V$.

The total charge induced in a conducting loop when it is moved in a uniform magnetic field depends on

In the arrangement shown in the given figure,the current from $A$ to $B$ is increasing in magnitude. The induced current in the loop will

The magnetic flux linked with a coil varies as $\phi = 3t^{2} + 4t + 9$. The magnitude of the emf induced at $t = 2 \text{ s}$ is: (in $\text{ V}$)

$A$ $10 \Omega$ coil of $180$ turns and diameter $4 \text{ cm}$ is placed in a uniform magnetic field so that the magnetic flux is maximum through the coil's cross-sectional area. When the field is suddenly removed, a charge of $360 \mu \text{C}$ flows through a $618 \Omega$ galvanometer connected to the coil. Find the magnetic field. (in $\text{ T}$)