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Field on the axis of a circular loop compared with the field at its centre

This type of question, asked 8 times: 2021 Paper 3, 2021 Paper 18, 14 Jun 2022, 28 Jul 2022, 24 Jan 2023, 8 Apr 2023, 2 Apr 2025, 28 Jan 2026 S1. All 8 questions below, oldest first.

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  1. Question 1

    2021 Paper 3

    20
    Magnetic fields at two points on the axis of a circular coil at a distance of 0.05 m0.05\text{ }m and 0.2 m0.2\text{ }m from the centre are in the ratio 8:18:1. The radius of coil is

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  2. Question 2

    2021 Paper 18

    1
    The fractional change in the magnetic field intensity at a distance ' rr ' from centre on the axis of current carrying coil of radius ' aa ' to the magnetic field intensity at the centre of the same coil is : (Take r<ar < a )

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  3. Question 3

    14 Jun 2022

    19
    The magnetic field at the centre of a circular coil of radius rr, due to current I flowing through it, is B. The magnetic field at a point along the axis at a distance r2\frac{r}{2} from the centre is:

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  4. Question 4

    28 Jul 2022

    103
    The magnetic field at the center of current carrying circular loop is B1B_{1}. The magnetic field at a distance of 3\sqrt{3} times radius of the given circular loop from the center on its axis is B2B_{2}. The value of B1/B2B_{1}/B_{2} will be

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  5. Question 5

    24 Jan 2023

    1
    A circular loop of radius rr is carrying current IAIA. The ratio of magnetic field at the center of circular loop and at a distance rr from the center of the loop on its axis is:

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  6. Question 6

    8 Apr 2023

    120
    The ratio of magnetic field at the centre of a current carrying coil of radius rr to the magnetic field at distance rr from the centre of coil on its axis is x:1\sqrt{x}:1. The value of xx is___
  7. Question 7

    2 Apr 2025

    14
    Let B1B_{1} be the magnitude of magnetic field at center of a circular coil of radius RR carrying current II. Let B2B_{2} be the magnitude of magnetic field at an axial distance ' xx ' from the center. For x:R=3:4,B2B1x:R= 3:4,\frac{B_{2}}{B_{1}} is :

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  8. Question 8

    28 Jan 2026 S1

    18
    The magnetic field at the center of a current carrying circular loop of radius RR is 16μ T16\mu\text{ }T. The magnetic field at a distance x=3Rx = \sqrt{3}R on its axis from the centre is ____\_\_\_\_ μT\mu T.

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