$A$ 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 $V$)?

In a region of uniform magnetic induction $B = 10^{-2} \, T$,a circular coil of radius $r = 30 \, cm$ and resistance $R = \pi^2 \, \Omega$ is rotated about an axis which is perpendicular to the direction of $B$ and which forms a diameter of the coil. If the coil rotates at $200 \, rpm$,the amplitude of the alternating current induced in the coil is.....$mA$.

Write down the formula for the induced $emf$ in an $AC$ generator and discuss how it varies with time.

$A$ 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 $\Omega$)

$A$ 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 $\pi = \frac{22}{7}$)

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