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qUESTIONS

Textbook-Solutions-12th-MH

A search coil having 2000 turns with area 1.5 cm2 is placed in a magnetic field of 0.60T. The coil is moved rapidly out of the field in a time of 0.2 second. Calculate the induced emf across the search coil.

A long solenoid consisting of 1.5×103 turns/m has an area of cross-section of 25 cm2. A coil C, consisting of 150 turns (Nc) is wound tightly around the centre of the solenoid. Calculate for a current of 3.0 A in the solenoid A long solenoid consisting of 1.5×103A long solenoid consisting of 1.5×103 turns/m has an area of cross-section of 25 cm2. A coil C, consisting of 150 turns (Nc) is wound tightly around the centre of the solenoid. Calculate for a current of 3.0 A in the solenoid

An emf of 96.0 mV is induced in the windings of a coil when the current in a nearby coil is increasing at the rate of1.20 A/s. What is the mutual inductance(M) of the two coils?

An alpha particle (the nucleus of helium atom) (with charge +2e) is accelerated and moves in a vacuum tube with kinetic energy = 10.00 MeV. On applying a transverse a uniform magnetic field of 1.851 T, it follows a circular trajectory of radius 24.60 cm. Obtain the mass of the alpha particle. [charge of electron = 1.62 × 10-19 C]

Example 10.6 Consider a closely wound 1000 turn coil, having radius of l m. If a current of 10A passes through the coil, what will be the magnitude of the magnetic field at the centre?

A circular loop of radius 9.7 cm carries a current 2.3 A. Obtain the magnitude of the magnetic field (a) at the centre of the loop and (b) at a distance of 9.7 cm from the centre of the loop but on the axis

A pair of adjacent coils has a mutual inductance of 1.5 H. If the current in one coil changes from 0 to 10 A in 0.2 s, what is the rate of change of flux linkage with the other coil?

Example :A metal disc is made to spin at 20 revolutions per second about an axis passing through its centre and normal to its plane. The disc has a radius of 30 cm and spins in a uniform magnetic field of0.20 T, which is parallel to the axis of rotation. Calculate(a)The area swept out per second by the radius of the disc,(b) The flux cut per second by a radius of the disc,(c) The induced emf in the disc.

Example 12.1: A coil consists of 400 turns of wire. Each turn is a square of side d = 20cm A uniform magnetic field directed perpendicular to the plane of the coil is turned on. If the field changes linearly from 0 to 0.50 T in 0.8 s, what is the magnitude of induced emf in the coil while the field is changing?

Example 12.2: A long solenoids, as shown in the figure has 200 turns/cm and carries a current i of 1.4 A. The diameter D of the solenoid is 3 cm. A coil C, having 100 turns and a diameter d of 2 cm is kept at the centre of the solenoid. The current in the solenoid is decreased steadily to zero in 20 ms. Calculate the magnitude of emf induced in the coil C when the current in the solenoid is changing.

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