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Loop entering or leaving a field region: emf at an instant or its graph

This type of question, asked 3 times: 2021 Paper 21, 9 Apr 2024, 22 Jan 2025. All 3 questions below, oldest first.

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  1. Question 1

    2021 Paper 21

    10
    A constant magnetic field of 1 T1\text{ }T is applied in the x>0x> 0 region. A metallic circular ring of radius 1 m1\text{ }m is moving with a constant velocity of 1 m/s1\text{ }m/s along the xx-axis. At t=0 st = 0\text{ }s, the centre of OO of the ring is at x=−1 mx= - 1\text{ }m. What will be the value of the induced emf in the ring at t=1 st= 1\text{ }s ? (Assume the velocity of the ring does not change.)

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  2. Question 2

    9 Apr 2024

    96
    A square loop of side 15 cm15\text{ }cm being moved towards right at a constant speed of 2 cm/s2\text{ }cm/s as shown in figure. The front edge enters the 50 cm50\text{ }cm wide magnetic field at t=0t = 0. The value of induced emf in the loop at t=10 st = 10\text{ }s will be:

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  3. Question 3

    22 Jan 2025

    84
    A rectangular metallic loop is moving out of a uniform magnetic field region to a field free region with a constant speed. When the loop is partially inside the magnate field, the plot of magnitude of induced emf(ε)emf(\varepsilon) with time (t)(t) is given by

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