$A$ circular coil of $1000$ turns, each with an area of $1 \, m^{2}$, is rotated about its vertical diameter at the rate of one revolution per second in a uniform horizontal magnetic field of $0.07 \, T$. The maximum voltage generated will be ......... $V$.

$A$ coil of area $25 \; cm \times 10 \; cm$ having $300$ turns is rotated in a magnetic field of $4 \times 10^{-2} \; T$ with an angular speed of $50 \; rps$. What is the maximum $emf$ induced (in $\pi \; V$)?

Discuss the characteristics of the induced $emf$ in an $AC$ generator.

An elliptical loop having resistance $R$,semi-major axis $a$,and semi-minor axis $b$ is placed in a magnetic field as shown in the figure. If the loop is rotated about the $x$-axis with angular frequency $\omega$,the average power loss in the loop due to Joule heating is:

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.

$A$ rectangular coil of $300$ turns has an average area of $25\;cm \times 10\;cm.$ The coil rotates with a speed of $50\;cps$ in a uniform magnetic field of strength $4 \times 10^{-2}\;T$ about an axis perpendicular to the field. The peak value of the induced $e.m.f.$ is (in volt): (in $\pi$)