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Magnetic moment of a current loop or coil

This type of question, asked 4 times: 2021 Paper 20, 26 Jul 2022, 29 Jul 2022, 30 Jan 2023. All 4 questions below, oldest first.

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  1. Question 1

    2021 Paper 20

    23
    A uniform conducting wire of length 24a24a, and resistance RR is wound up as a current carrying coil in the shape of an equilateral triangle of side ' aa ' and then in the form of a square of side ' aa '. The coil is connected to a voltage source V0V_{0}. The ratio of magnetic moment of the coils in case of equilateral triangle to that for square is 1:y1:\sqrt{y} where yy is

  2. Question 2

    26 Jul 2022

    106
    Two concentric circular loops of radii r1=30 cmr_{1}= 30\text{ }cm and r2=50 cmr_{2}= 50\text{ }cm are placed in X-Y plane as shown in the figure. A current I=7 AI = 7\text{ }A is flowing through them in the direction as shown in figure. The net magnetic moment of this system of two circular loops is approximately:

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  3. Question 3

    29 Jul 2022

    28
    A wire of length 314 cm314\text{ }cm carrying current of 14 A14\text{ }A is bent to form a circle. The magnetic moment of the coil is ____A-m  2\ ^{2}. [Given  π=3.14]\left. \ \pi= 3.14 \right\rbrack

  4. Question 4

    30 Jan 2023

    1
    The magnetic moments associated with two closely wound circular coils AA and BB of radius rA=10 cmr_{A}= 10\text{ }cm and rB=20 cmr_{B}= 20\text{ }cm respectively are equal if : (Where NA,IAN_{A},I_{A} and NB,IBN_{B},I_{B} are number of turn and current of AA and BB respectively)

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