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Mutual inductance of two coplanar concentric loops, one much smaller

This type of question, asked 7 times: 2021 Paper 22, 25 Jul 2022, 29 Jan 2023, 6 Apr 2023, 31 Jan 2024, 5 Apr 2024, 2 Apr 2026 S2. All 7 questions below, oldest first.

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  1. Question 1

    2021 Paper 22

    10
    A small square loop of side 'a' and one turn is placed inside a larger square loop of side bb and one turn (b>>a)(b> >a). The two loops are coplanar with their centres coinciding. If a current II is passed in the square loop of side ' bb ', then the coefficient of mutual inductance between the two loops is :

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  2. Question 2

    25 Jul 2022

    13
    A small square loop of wire of side ll is placed inside a large square loop of wire L(L>>l)L(L > > l). Both loops are coplanar and their centres coincide at point OO as shown in figure. The mutual inductance of the system is:

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  3. Question 3

    29 Jan 2023

    1
    Find the mutual inductance in the arrangement, when a small circular loop of wire of radius ' RR ' is placed inside a large square loop of wire of side (L≫R)(L \gg R). The loops are coplanar and their centers coincide:

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  4. Question 4

    6 Apr 2023

    116
    Two concentric circular coils with radii 1 cm1\text{ }cm and 1000 cm1000\text{ }cm, and number of turns 10 and 200 respectively are placed coaxially with centers coinciding. The mutual inductance of this arrangement will be ___×10−8H\_\_\_ \times10^{- 8}H.

  5. Question 5

    31 Jan 2024

    27
    A small square loop of wire of side ll is placed inside a large square loop of wire of side LL (L=l2)\left( L = l^{2} \right). The loops are coplanar and their centers coincide. The value of the mutual inductance of the system is x×10−7H\sqrt{x}\times10^{- 7}H, where x=x = _____ .

  6. Question 6

    5 Apr 2024

    12
    Two conducting circular loops A and B are placed in the same plane with their centres coinciding as shown in figure. The mutual inductance between them is:

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  7. Question 7

    2 Apr 2026 S2

    18
    A circular current loop of radius RR is placed inside square loop of side length L (L≫R)L\ (L \gg R) such that they are co-planar, and their centers coincide. The permeability of free space is μ0\mu_{0}. The mutual inductance between circular loop and square loop is ____\_\_\_\_ .

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