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qUESTIONS

A long solenoid of length l, cross-sectional area A and having N1 turns (primary coil), has a small coil of N2 turns (secondary coil) wound about its centre. Determine the Mutual inductance(M) of the two coils.

The value of mutual inductance of two coils is 10 mH. If the current in one of the coil changes from 5A to 1A in 0.2 s, calculate the value of emf induced in the other coil. Also calculate the value of induced charge passing through the coil if its resistance is 5 ohm.

Calculate the value of induced emf between the ends of an axle of a railway carriage 1.75 m long travelling on level ground with a uniform velocity of 50 km per hour. The vertical component of Earth’s magnetic field (Bv) is given to be 5×10-5T.

A stiff semi-circular wire of radius R is rotated in a uniform magnetic field B about an axis passing through its ends. If the frequency of rotation of wire be f, calculate the amplitude of alternating emf induced in the wire.

An aircraft of wing span of 50 m flies horizontally in earth’s magnetic field of 6×10-5T at a speed of 400 m/s. Calculate the emf generated between the tips of the wings of the aircraft.

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 10.4 A circular coil of conducting wire has 500 turns and an area 1.26 × 10−4 m2 is enclosed by the coil. A current 100μA is passed through the coil. Calculate the magnetic moment of the coil.

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