In an $AC$ generator,a rectangular coil of $100$ turns each having area $14 \times 10^{-2} \, m^2$ is rotated at $360 \, rev/min$ about an axis perpendicular to a uniform magnetic field of magnitude $3.0 \, T$. The maximum value of the emf produced will be $............ \, V$. (Take $\pi = \frac{22}{7}$)

When a rectangular coil is rotated in a uniform magnetic field about an axis passing through its centre and perpendicular to the field,the emf induced in the coil varies

$A$ square-shaped coil of area $70 \, cm^2$ having $600$ turns rotates in a magnetic field of $0.4 \, Wb/m^2$,about an axis which is parallel to one of the sides of the coil and perpendicular to the direction of the field. If the coil completes $500$ revolutions in a minute,the instantaneous emf when the plane of the coil is inclined at $60^{\circ}$ with the field will be $..........V$. (Take $\pi = \frac{22}{7}$)

$A$ circular coil of resistance $R$,area $A$,and number of turns $N$ is rotated about its vertical diameter with angular speed $\omega$ in a uniform magnetic field of magnitude $B$. The average power dissipated in a complete cycle is:

$A$ circular coil of area $200 \,cm^2$ and $50$ turns is rotating about its vertical diameter with an angular speed of $40 \,rad/s$ in a uniform horizontal magnetic field of magnitude $2 \times 10^{-2} \,T$. The maximum emf induced in the coil is (in $\,V$)

At the centre of a fixed large circular coil of radius $R$,a much smaller circular coil of radius $r$ is placed. The two coils are concentric and are in the same plane. The larger coil carries a current $I$. The smaller coil is set to rotate with a constant angular velocity $\omega$ about an axis along their common diameter. Calculate the $emf$ induced in the smaller coil after a time $t$ of its start of rotation.