Magnetic flux (in $Wb$) linked with a closed loop varies with time $t$ (in $s$) as $\phi = 2t^2 + 1$. The magnitude of induced emf at $t = 1 \ s$ is $..... \ V$.

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

The north and south poles of two identical magnets approach a coil,containing a condenser,with equal speeds from opposite sides. Then

$A$ coil of $n$ turns and area $A$ is suddenly removed from a magnetic field,and a charge $q$ flows through the coil. If the resistance of the coil is $R$,then the magnetic flux density is (in $Wb/m^2$):

The flux linked with a coil at any instant $t$ is given by $\phi = 10t^2 - 50t + 250$. The induced $emf$ at $t = 3 \ s$ is ....... $V$.

Some magnetic flux is changed through a coil of resistance $10 \, \Omega$. As a result,an induced current is developed in it,which varies with time as shown in the figure (assuming a triangular pulse with base $0.1 \, s$ and height $4 \, A$). The magnitude of the change in flux through the coil in Webers is: