Electromagnetic...

A thin wire of length $$2$$$$m$$ is perpendicular to the $$x-y$$ plane. It is moved with velocity $$\vec { v } = (2\hat { i }  + 3 \hat { j } + \hat { k }) m/s$$ through a region of magnetic induction $$\vec {B} = (\hat {i} + 2\hat{j}) Wb/m^{2}.$$ Then potential difference induced between the ends of the wire is

A magnet is made to oscillate with a particular frequency passing through a coil as shown in figure. The time variation of the magnitude of emf generated across the coil during one cycle is

On conducting U tube can slide inside the other as shown in figure 25.28 maintaining electrical contacts between the tubes. The magnetic field $$B$$ is perpendicular to the plane of the figure. If each tube moves towards the other at a constant speed $$v$$ then the induced emf in terms of $$B$$, $$l$$ and $$v$$ where $$l$$ is the width of each tube, will be

A satellite orbiting the Earth at $$400$$ $$km$$ above the surface of the Earth has a $$2$$ $$m$$ long antenna oriented perpendicular to the Earth's surface. At the equator the Earth's magnetic field is $$8 \times 10^{-5} T$$ and is horizontal. Assuming the orbit to the circular, find emf induced across the ends of the antenna.(Given radius of earth $$R_e=6400\ Km$$)

A long metal bar of $$30cm$$ length is aligned along a north south line and moves eastward at a speed of $$10ms^{-1}$$. A uniform magnetic field of $$4.0 T$$ points vertically downwards. If the south end of the bar has a potential of $$0 V$$, the induced potential at the north end of the bar is:

The induction coil works on the principle of

The network shown in the figure is part of a complete circuit. If at a certain instant, the current $$I$$ is $$5A$$ and it is decreasing at a rate of $$10^{3} As^{-1}$$ then $$V_{B}-V_{A}$$ equals :

The self inductance of the toroidal solenoid described in the passage is

Magnetic flux during time interval $$\tau$$ varies through a stationary loop of resistance $$R$$, as $$\phi_B = at (\tau - t)$$. Find the amount of heat generated during that time. Neglect the inductance of the loop.

Two rail tracks are $$1m$$ apart and insulated from each other and insulated from ground. A milli-voltmeter is connected across the rail-tracks. When a train travelling at 180 $$km/h$$ passes through what will be the reading in milli-voltmeter? Given : horizontal component of earth's field $$\sqrt{3} \times 10^{-4} T$$ and dip at the place $$60^o$$.