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Terminal velocity of a conductor or loop falling through a magnetic field

This type of question, asked 3 times: 14 May 2024 S1, 26 Apr 2025 S2, 11 Apr 2026 S1. All 3 questions below, oldest first.

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  1. Question 1

    14 May 2024 S1

    17
    A horizontal wire of mass 'mm', length 'll' and resistance 'RR' is sliding on the vertical rails on which uniform magnetic field 'BB' is directed perpendicular. The terminal speed of the wire as it falls under the force of gravity is (g=g= acceleration due to gravity)

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  2. Question 2

    26 Apr 2025 S2

    32
    A long rectangular conducting loop of width ' ll ', mass ' mm ' and resistance ' RR ' is placed partly in a perpendicular magnetic field ' B '. It is pushed downwards with velocity ' VV ' so that it may continue to fall freely. The velocity ' VV ' is

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  3. Question 3

    11 Apr 2026 S1

    134
    A long rectangular conducting loop of width 'll' mass 'mm' and resistance 'RR' is placed partly in a perpendicular magnetic field 'BB'. With what velocity should it be pushed downwards so that it may continue to fall without any acceleration? (gg = acceleration due to gravity)

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