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

$A$ 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 ......... $V$.

$A$ planar loop made of wire is rotating in a uniform magnetic field. At time $t=0$,the plane of the loop is perpendicular to the magnetic field. If the loop is rotating about an axis passing through its plane with a period of $10 \; s$,at which of the following times will the induced electromotive force (emf) be maximum and minimum,respectively?

$A$ 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 $\Omega$)

$A$ circular coil of mean radius $7 \, cm$ and having $4000$ turns is rotated at the rate of $1800$ revolutions per minute in the earth's magnetic field $(B = 0.5 \, \text{gauss})$. The maximum $e.m.f.$ induced in the coil will be .... $V$.

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.