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Field at the centre of a circular arc

This type of question, asked 5 times: 10 May 2023 S1, 16 May 2023 S2, 11 May 2024 S2, 20 Apr 2026 S2, 13 May 2026 S1. All 6 questions below, oldest first.

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  1. Question 1

    10 May 2023 S1

    2
    A circular arc of radius r carrying current 'I' subtends an angle π8\frac{\pi}{8} at its centre. The radius of a metal wire is uniform. The magnetic induction at the centre of circular arc is (μ0=\mu_0 = permeability of free space)

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  2. Question 2

    16 May 2023 S2

    49
    A current II flows in anticlockwise direction in a circular arc of a wire having 34\frac{3}{4}th of circumference of a circle of radius RR. The magnetic field BB at the centre of circle is (μ0=\mu_0 = permeability of free space)

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  3. Question 3

    16 May 2023 S2

    20
    An arc of a circle of radius RR subtends an angle π2\frac{\pi}{2} at the centre. It carries a current II. The magnetic field at the centre will be (μ0=\mu_0 = permeability of free space)

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  4. Question 4

    11 May 2024 S2

    12
    A circular arc of radius 'r' carrying current 'l' subtends an angle π16\frac{\pi}{16} at its centre. The radius of a metal wire is uniform. The magnetic induction at the centre of circular arc is [μ0=\mu_0 = permeability of free space]

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  5. Question 5

    20 Apr 2026 S2

    133
    A circular arc of wire of radius of curvature rr subtends an angle of π5\dfrac{\pi}{5} radian at its centre. If current ii is flowing in it then the magnetic induction at its centre is (μ0\mu_0 = permeability of free space)

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  6. Question 6

    13 May 2026 S1

    132
    An arc of a circle of radius R subtends an angle π/2\pi/2 at the centre. It carries a current I. The magnetic field at the centre will be (μ0\mu_0 = permeability of free space)

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