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Magnetic moments of loops of different shapes made from equal lengths of wire

This type of question, asked 5 times: 22 Apr 2025 S2, 26 Apr 2025 S2, 17 Apr 2026 S2, 20 Apr 2026 S2, 15 May 2026 S2. All 5 questions below, oldest first.

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  1. Question 1

    22 Apr 2025 S2

    35
    Two similar wires of equal lengths are bent in the form of a square and a circular loop. They are suspended in a uniform magnetic field and same current is passed through them. Torque experienced by

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  2. Question 2

    26 Apr 2025 S2

    21
    Two wires of equal lengths are bent in the form of a square and a circular loop. They are suspended in a uniform magnetic field and same current is passed through them. Torque experienced by

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  3. Question 3

    17 Apr 2026 S2

    131
    Two wires of same length are bent to form the circular loop with two turns and a square loop of one turn. Both of them carry same current. The ratio of magnetic moment of circular loop of two turns to that of square loop is

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  4. Question 4

    20 Apr 2026 S2

    132
    A thin circular wire carrying current II has magnetic moment MM. The shape of the wire is changed to a square and it carries the same current. It will have magnetic moment M1M_1. The ratio MM to M1M_1 is

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  5. Question 5

    15 May 2026 S2

    132
    A uniform conducting wire of length ′12a′'12a' and resistance RR is wound up as a current carrying coil in the shape of an equilateral triangle of side ′a′'a' and then a square of side ′a′'a'. The ratio of magnetic dipole moments of triangular to square coil is

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