A long solenoid of 1000 turns and a cross-sectional area 2 × 10^-3 m² carries a current of 2A and produces a flux density 52 × 10^-3 T in the middle of the coil. Assuming this value of flux density at all sections of the solenoid, calculate its self-inductance.

Ans: 0.052H 

Two plane coils having a number of turns 1000 and 2000, and radii 5 cm and 10 cm respectively are placed co-axially in the same plane. Calculate their mutual inductance. (μ₀ = 4π × 10^-7 H/m)

Ans: 0.79H

A long solenoid with 15 turns per cm has a small loop of area 2cm² placed inside, normal to the axis of the solenoid. If the current carried by the solenoid changes steadily from 2A to 4A in 0.1 second, what is the induced voltage in the loop, while the current is changing?

Ans: 7.5 × 10^-4V 

A rectangular coil of 100 turns has dimensions 15 × 10 cm. It is rotated at the rate of 300 revolutions per minute in a uniform magnetic field of flux density 0.6 T. Calculate the maximum emf induced in it.

Ans: 28.3V

A metal aircraft with a wing span of 40 m flies with a speed of 1000 km hr^-1 in a direction due east at constant altitude in a region of the northern hemisphere where the horizontal component of the earth's magnetic field is 1.6 × 10^-5T and the angle of dip is 41°. Find the potential difference developed between the tips of the wing.

Ans: 0.155V

Find the emf induced in a straight conductor of length 25 cm, on the armature of a dynamo and 12 cm from the axis, when the conductor is moving in a uniform radial magnetic field of 0.5 T. The armature is rotating at 1000 revolutions per minute.

Ans: 1.57 V

A plane circular coil has 200 turns and its radius is 0.10m. It is connected to a battery. After switching on the circuit a current of 2A is set up in the coil. Calculate the energy stored in the coil. (μ₀ = 4π × 10^-5 Hm^-1)

Ans: 1.6 x 10^-5J

The magnetic flux passing perpendicular to the plane of a coil is given by φ = 4t² + 5t + 2, where φ is in Weber and t is in seconds. Calculate the magnitude of instantaneous emf induced in the coil when t = 3 sec.

Ans: 29 V

A jet plane is flying due west at the speed of 1800 km/hr. What is the voltage difference developed between the ends of the wings 25m long of the earth's magnetic field at that location is 5 × 10^-4 T and the angle of dip is 45°?

Ans: 6.25 V

A straight conductor of length 15 cm is moving with uniform speed of 10 ms^-1 making an angle of 30° with uniform magnetic .field of 10^-4 Tesla. Calculate the emf induced across the length.

Ans: 7.5 × 10^-5 V/m

An aircraft with a wingspan of 40 m files with a speed of 1080 km hr^-1 in the eastward direction at a constant altitude in the northern hemisphere. Where the vertical component of earth's magnetic field is 1.75 × 10^-5 T. Find the emf that develops between the tips of the wings.

Ans: 0.21 V

A coil of 100 turns, each of area 2 × 10^-3m² has a resistance of 12Ω. It lies in a horizontal plane with a vertical magnetic flux density of 3 x 10^-3 Wbm^-2. What charge circulates through the coil if its ends are short-circuited and the coil is rotated through 180° about a diametrical axis?

Ans: 10^-4 C

A straight conductor of length 25 cm is moving perpendicular to its length with a uniform speed of 10 m/s making an angle of 45° with a uniform magnetic field of 10 T. Calculate the emf induced across its length.

Ans: 17.67 V

The magnetic flux passing perpendicular to the plane of the coil is given by φ = 4t² + 5t + 2 where φ is in weber and t is in second. Calculate the magnitude of instantaneous emf induced in the coil when t = 2 sec.

Ans: 21V

An air-cored solenoid having a diameter of 4 cm and a length of 60 cm is wound with 4000 turns. Find the inductance of the solenoid. What will be the inductance of the solenoid if it has an iron core of relative, permeability 400? (μ₀ = 4π × 10^-7H/m).

Ans: 252.67 As^-1