The number of turns in the coil of an $AC$ generator is $5000$ and the area of the coil is $0.25\,m^2$. The coil is rotated at the rate of $100\,cycles/sec$ in a magnetic field of $0.2\,Wb/m^2$. The peak value of the electromotive force $(EMF)$ generated is nearly......$kV$.

$A$ long solenoid is carrying a current $I = I_0 \sin(\omega t)$,having $N$ turns per unit length and radius $R$. $A$ square loop is placed inside the solenoid with its plane perpendicular to the solenoid axis,and its corners touching the solenoid. Find the emf induced in the square coil.

$A$ generator with a circular coil of $100$ turns of area $2 \times 10^{-2} \,m^2$ is immersed in a $0.01 \,T$ magnetic field and rotated at a frequency of $50 \,Hz$. The maximum emf which is produced during a cycle is (in $\,V$)

$A$ circular coil of area $0.01 \ m^2$ and $40$ turns is rotated about its vertical diameter with an angular speed of $50 \ rad \ s^{-1}$ in a uniform horizontal magnetic field of $0.05 \ T$. If the average power loss due to Joule heating is $25 \ mW$,then the closed loop resistance of the coil is: (in $\Omega$)

The $e.m.f.$ induced in a coil of wire,which is rotating in a magnetic field,does not depend on

$A$ student pedals a stationary bicycle. The pedals of the bicycle are attached to a $100$ turn coil of area $0.10$ $m^2$. The coil rotates at half a revolution per second and it is placed in a uniform magnetic field of $0.01$ $T$ perpendicular to the axis of rotation of the coil. What is the maximum voltage generated in the coil (in $V$)?