A conducting rod $PQ$ of length $5 \mathrm{m}$ oriented as shown in figure is moving with velocity $2( \mathrm{m} {\mathrm{s}}^{-1})$ without any rotation in a uniform magnetic field $\overrightarrow{B}=3\hat{j}+4\hat{k}$ Tesla. Magnitude of induced $EMF$ in the rod is:

When a '$\mathrm{J}$' shaped conducting rod is rotating in its own plane with constant angular velocity $\omega$, about one of its end $P$, in a uniform magnetic field $\overrightarrow{B}$ directed normally into the plane of paper) then magnitude of emf induced across it will be

A metal disc rotates freely, between the poles of a magnet in the direction indicated. Brushes $P$ and $Q$ make contact with the edge of the disc and the metal axle. What current, if any, flows through $R$ ?

In the circuit shown, the cell is ideal. The coil has an inductance of $4 H$ and zero resistance. $F$ is a fuse of zero resistance and will blow when the current through it reaches $5 A$. The switch is closed at $t=0$ The fuse will blow:

In the$LR$ circuit shown, what is the variation of the current $I$ as a function of time? The switch is closed at time $t=0\sec$.

Two circular coils $P \& Q$ are fixed coaxially & carry currents $I_1$ and $I_2$ respectively