Electromagnetic...

$$AB$$ is a resistanceless conducting rod which forms a diameter of a conducting ring of radius $$r$$ rotating in a uniform magnetic field $$B$$ as shown in figure. The resistors $${R}_{1}$$ and $${R}_{2}$$ do not rotate. Then the current through the resistor $${R}_{1}$$

A vertical conducting ring of radius $$R$$ falls vertically with a speed $$V$$ in a horizontal uniform magnetic field which is perpendicular to the plane of the ring. Which of the following statements is correct?

A semicircular wire of radius $$R$$ is rotated with constant angular velocity about an axis passing through one end and perpendicular to the plane of the wire. There is a uniform magnetic field of strength $$B$$. The induced emf between the ends is

The wire is found to vibrate in the third harmonic. The maximum emf induced is

The emf induced in the circuit is

A uniform thin rod of length L is moving in a uniform magnetic field $$\displaystyle B_{0}$$ such that velocity of its centre of mass is v and angular velocity is $$\displaystyle \omega=\frac{4v}{L}$$ Then

A thin semicircular conducting ring of radius $$R$$ is falling with its plane vertical in horizontal magnetic induction $$\vec { B } $$. At the position $$MNQ$$, the speed of the ring is $$V$$, and the potential difference developed across the ring is

Two coils have a mutual inductance $$0.005\ H$$. The current changes in the first coil according to the equation $$i = i_{m}\sin \omega t$$ where $$i_{m} = 10\ A$$ and $$\omega = 100\pi \ rad\ s^{-1}$$. The maximum value of the emf induced in the second coil is

If emf induced in a coil is $$2V$$ by changing the current in it from $$8\ A$$ to $$6\ A$$ in $$2\times 10^{-3}s$$, then the coefficient of self induction is

A coil of resistance 5 unit and inductance 4 H is connected to a 10 V battery. The energy stored in thecoil