Two coils have a mutual inductance M = 0.4 H. If the current in t... | Mathematics MCQ [Updated November 2026] | GkGet

1

A rectangular wire loop of sides 8 cm and 3 cm with a small cut is moving out of a region of uniform magnetic field of magnitude 0.3 T directed normal to the plane of the loop. The emf developed across the cut, if the velocity of the loop is 2 cm s-1 in a direction normal to the shorter side of the loop, will be:

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2

The mutual inductance between two coils is 2 H. If the current in one coil changes from 0 to 10 A in 0.5 s, find the magnitude of the induced EMF in the second coil.

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3

Two coils have self-inductance of 5 mH and 20 mH, respectively. What will be the effective total inductance if the coils are connected in series opposition, given that the mutual inductance between them is 0.5 mH?

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4

A coil with 100 turns has a resistance of 100 Ω and is connected in series with a galvanometer of 400 Ω resistance. If the magnetic flux through the coil changes from 1 mWb to 0.2 mWb in 110 s, what is the average induced e.m.f. in the coil?

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5

A coil of resistance 100 Ω placed in a magnetic field of 1 mWb has 100 turns, and a galvanometer of 400 Ω resistance is connected in series with it. Find the average induced e.m.f. if the coil is moved in 1/10th second from the given field to a field strength of 0.2 mWb.

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6

A long solenoid has 400 turns. When a current of 100 A is passed through it, the resulting magnetic flux linked with each turn of the solenoid is 4 mWb. The self-inductance of the solenoid is:

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7

A circular loop of radius R lies in the x-y plane with its center at the origin. A small square loop of side a (where a << R) having two turns is placed along the z-axis at a distance z = √3 R. The plane of the square loop is inclined such that its normal makes an angle of 45° with the z-axis. If the mutual inductance M between the two loops is given by M = μ0a22pR, find the value of p.

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8

The two rails of a railway track, insulated from each other and from the ground, are connected to a millivoltmeter. The vertical component of Earth's magnetic field is 0.2 × 10-4 T and the rails are separated by 1 m. What is the reading of the millivoltmeter when a train travels along the track at a speed of 180 km/h?

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Two coils have a mutual inductance M = 0.4 H. If the current in the first coil changes at a rate of 4 A/s, then the magnitude of the EMF induced in the second coil is:

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Two coils have a mutual inductance M = 0.4 H. If the current in the first coil changes at a rate of 4 A/s, then the magnitude of the EMF induced in the second coil is:

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