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Magnetic moment of a coil (NIA) compared between coils or after rewinding

This type of question, asked 7 times: 4 May 2023 S1, 10 May 2023 S2, 12 May 2024 S1, 12 May 2024 S2, 11 Apr 2026 S2, 13 Apr 2026 S2, 15 Apr 2026 S1. All 7 questions below, oldest first.

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  1. Question 1

    4 May 2023 S1

    29
    The magnetic moments associated with two closely wound circular coils A and B of radius rA=10r_A = 10 cm and rB=20r_B = 20 cm respectively are equal if (NA,IAN_A, I_A and NB,IBN_B, I_B are number of turns and current of A and B respectively)

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  2. Question 2

    10 May 2023 S2

    34
    A coil of 'n' turns and radius R carries a current 'I'. It is unwound and rewound to make a new coil of radius R3\frac{R}{3} and the same current is passed through it. The ratio of the magnetic moment of the new coil to that of the original coil is

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  3. Question 3

    12 May 2024 S1

    17
    The magnetic moment of a current II carrying circular coil of radius rr and number of turns nn depends on

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  4. Question 4

    12 May 2024 S2

    8
    A coil of 'n' turns and radius 'R' carries a current 'I'. It is unwound and rewound again to make another coil of radius R3\frac{R}{3}, current remaining the same. The ratio of magnetic moment of the new coil to that of original coil is

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  5. Question 5

    11 Apr 2026 S2

    131
    A circular coil of N turns and diameter D carries current I. It is unwound and rewound to make another coil of diameter 2D, current I remaining the same. The ratio of magnetic moments of the original coil to the new coil is

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  6. Question 6

    13 Apr 2026 S2

    135
    The magnetic moments associated with two closely wound circular coils a and b of radius rr and 2r2r respectively are equal if (where NaN_a, IaI_a and NbN_b, IbI_b are number of turns and current in A and B respectively)

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  7. Question 7

    15 Apr 2026 S1

    132
    A circular coil of 'N' turns and diameter 'd' carries current 'I'. It is unwound and rewound to make another coil of diameter '2d', current 'I' remaining the Same. The ratio of magnetic moments of the new coil to the original coil is

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