A circular coil of radius $R$ and $N$ turns has negligible resistance. As shown in the schematic figure, its two ends are connected to two wires and it is hanging by those wires with its plane being vertical. The wires are connected to a capacitor with charge$Q$ through a switch. The coil is in a horizontal uniform magnetic field $B_0$ parallel to the plane of the coil. When the switch is closed, the capacitor gets discharged through the coil in a very short time. By the time the capacitor is discharged fully, magnitude of the angular momentum gained by the coil will be (assume that the discharge time is so short that the coil has hardly rotated during this time)

Q.

A circular coil of radius R and N turns has negligible resistance. As shown in the schematic figure, its two ends are connected to two wires and it is hanging by those wires with its plane being vertical. The wires are connected to a capacitor with charge Q through a switch. The coil is in a horizontal uniform magnetic field B0 parallel to the plane of the coil. When the switch is closed, the capacitor gets discharged through the coil in a very short time. By the time the capacitor is discharged fully, magnitude of the angular momentum gained by the coil will be (assume that the discharge time is so short that the coil has hardly rotated during this time)

Q. Two long conducting rods suspended by means of two insulating threads as shown in figure are connected at one end to a charged capacitor through a switch $S$, which initially open. At the other end, they are connected by a loose wire. The capacitor has charge $Q$ and mass per unit length of the rod is $\lambda$. The effective resistance of the circuit after closing the switch is $R$. If the velocity of each rod when the capacitor is discharged after closing the switch is $v=\frac{{\mu }_0{Q}^2}{x\pi dRC\lambda l}$. Find x.(Assume that the displacement of rods during the discharging time is negligible)

Q. Two circular coils $\text{A}$ and $\text{B}$ of radii $a$ and $b$ respectively $(\text{with}b>>a)$ have their planes perpendicular to the plane of the page. They are separated co-axially by a distance $x=\sqrt{3}b$ as shown in the figure. A transient current $I$ flows through coil $\text{B}$ for a very short time interval. If the resistance of coil $\text{A}$ is $R$, then the charge that flows through coil $\text{A}$ during the short time interval will be

Q. A coil of radius $10cm$ and resistance $40\Omega$ has $1000$ turns. It is placed with its plane vertical and its axis parallel to the magnetic meridian. The coil is connected to a galvanometer and is rotated about the vertical diameter through an angle of ${180}^o$. Find the charge which flows through the galvanometer if the horizontal component of the earth's magnetic field is $B=3.0\times {10}^{-5}T$

Q. A flip coil consists of $N$ turns of circular coils which lie in a uniform magnetic field. Plane of the coils is perpendicular to the magnetic field as shown in figure. The coil is connected to a current integrator which measures the total charge passing through it. The coil is turned through ${180}^o$ about the diameter. The charge passing through the coil is