A solid conducting sphere of radius $R$ is moving with a velocity $\overrightarrow{v}$, in a uniform magnetic field of strength $\overrightarrow{B}$, which is perpendicular to $\overrightarrow{v}$. The maximum emf induced between any two points of the sphere is

A conducting rod $PQ$ of length $L=1.0 \mathrm{m}$ is moving with a uniform speed $v=20 \mathrm{m} {\mathrm{s}}^{-1}$, in a uniform magnetic field $B=4.0 \mathrm{T}$, directed into the paper. A capacitor of capacity $C=10 \mathrm{\mu F}$ is connected, as shown in the figure. Then, 

A conducting rod rotates with a constant angular velocity $𝝎$, about an axis, which is perpendicular to its length and passes through point $O$. A uniform magnetic field $\overrightarrow{B}$ exists parallel to the axis of rotation. The potential difference between the two ends of the rod is

A conducting ring of radius $r$, with a conducting spoke, is in pure rolling, on a horizontal surface, in a region having a uniform magnetic field $\overrightarrow{B}$, as shown. If $v$ is the velocity of the centre of the ring, then, the potential difference $V_O-V_A$ is 

A wooden stick of length $3l$ is rotated about an end with a constant angular velocity $\omega$ in a uniform magnetic field $B$ perpendicular to the plane of motion. If the upper one-third of its length is coated with copper, find the potential difference across the whole length of the stick.