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Wire of given length bent into a circular coil: magnetic moment or maximum torque

This type of question, asked 3 times: 14 May 2024 S1, 25 Apr 2025 S1, 11 Apr 2026 S1. All 3 questions below, oldest first.

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  1. Question 1

    14 May 2024 S1

    27
    A straight wire carrying a current (I)(I) is turned into a circular loop. If the magnitude of the magnetic moment associated with it is 'MM', then the length of the wire will be

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  2. Question 2

    25 Apr 2025 S1

    16
    Current II is carried in a wire of length ' LL '. If wire is bent into a circular coil of single turn, the maximum torque in a given magnetic field BB is

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  3. Question 3

    11 Apr 2026 S1

    131
    A wire of length LL is bent in the form of a circular coil and current 'ii' is passed through it. This coil is kept in magnetic field. The torque acting on the coil will be maximum, when the number of turns is

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