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 $A$)

In electromagnetic induction,the induced charge in a coil is independent of

As shown in the figure,a bar magnet is moving towards a stationary coil with a constant speed $v$. The direction of the induced current in the coil as observed by the observer on the $R$.$H$.$S$. is . . . . . . .

The magnetic flux through a coil perpendicular to its plane is varying according to the relation $\phi = (5t^3 + 4t^2 + 2t - 5) \; Wb$. If the resistance of the coil is $5 \; \Omega$,then the induced current through the coil at $t = 2 \; s$ will be $.... \; A$. (in $.6$)

The magnetic flux linked with a coil is given by the equation $\phi$ (in webers) = $8t^2 + 3t + 5$. The induced $e.m.f.$ in the coil at the $4^{th}$ second will be.......$units$.

$A$ conducting coil having $500$ turns has a cross-sectional area of $0.15 \ m^2$. $A$ magnetic field of strength $0.2 \ T$ linked perpendicular to this area changes to $1.0 \ T$ in $0.4 \ s$. The induced emf produced in the coil will be . . . . . . $V$.