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Average emf when the field through a loop changes at a steady rate

This type of question, asked 4 times: 24 Jan 2023, 11 Apr 2023, 27 Jan 2024, 29 Jan 2024. All 4 questions below, oldest first.

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  1. Question 1

    24 Jan 2023

    15
    A conducting circular loop of radius 10πcm\frac{10}{\sqrt{\pi}}cm is placed perpendicular to a uniform magnetic field of 0.5 T0.5\text{ }T. The magnetic field is decreased to zero in 0.5 s0.5\text{ }s at a steady rate. The induced emf in the circular loop at 0.25 s0.25\text{ }s is:

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  2. Question 2

    11 Apr 2023

    28
    The magnetic field BB crossing normally a square metallic plate of area 4 m24{\text{ }m}^{2} is changing with time as shown in figure. The magnitude of induced emf in the plate during t=2 st = 2\text{ }s to t=4 st = 4\text{ }s, is ___mVmV

  3. Question 3

    27 Jan 2024

    12
    A rectangular loop of length 2.5 m2.5\text{ }m and width 2 m2\text{ }m is placed at 60∘60^{\circ} to a magnetic field of 4 T4\text{ }T. The loop is removed from the field in 10sec10sec. The average emf induced in the loop during this time is

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  4. Question 4

    29 Jan 2024

    23
    A square loop of side 10 cm10\text{ }cm and resistance 0.7Ω0.7\Omega is placed vertically in east-west plane. A uniform magnetic field of 0.20 T0.20\text{ }T is set up across the plane in north east direction. The magnetic field is decreased to zero in 1 s1\text{ }s at a steady rate. Then, magnitude of induced emf is x×10−3 V\sqrt{x}\times10^{- 3}\text{ }V. The value of xx is _____ .