The instantaneous magnetic flux associated with a closed loop of resistance $10 \ \Omega$ is given by $\phi = 2t^2 - 5t + 1$. The magnitude of the induced current at $t = 0.25 \ s$ will be . . . . . . . (in $A$)

$A$ flat circular coil has $100$ turns of wire of radius $10 \ cm$. $A$ uniform magnetic field exists in a direction perpendicular to the plane of the coil and it grows at a rate of $0.1 \ T \ s^{-1}$. The induced emf in the coil is:

If a coil of $40$ turns and area $4.0 \, cm^2$ is suddenly removed from a magnetic field,it is observed that a charge of $2.0 \times 10^{-4} \, C$ flows through the coil. If the resistance of the coil is $80 \, \Omega$,the magnetic flux density in $Wb/m^2$ is:

Two square wire frames $abcd$ and $efgh$ are placed in a uniformly decreasing magnetic field as shown in the figure. The direction of the induced current in both the loops is

The magnetic flux through a coil of resistance $R$ changes by an amount $\Delta \phi$ in time $\Delta t$. The amount of induced current and induced charge in the coil are respectively:

An induced current of $2 \text{ A}$ flows through a coil. The resistance of the coil is $10 \text{ } \Omega$. What is the change in magnetic flux associated with the coil in $1 \text{ ms}$?