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Two semicircular loops of radii R1 and R2 with a common centre: field at the centre

The same question, asked 2 times: 14 May 2024 S2, 22 Apr 2025 S1. Every wording below, oldest first.

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  1. Question 1

    14 May 2024 S2

    48
    Figure shows two semicircular loops of radii R1R_1 and R2R_2 carrying current II. The magnetic field at the common centre O is

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  2. Question 2

    22 Apr 2025 S1

    34
    The wire loop PQRSP formed by joining two semicircular wire of radii R1R_{1} and R2R_{2} carries a current I as shown. The magnitude of the magnetic field at the center ' O ' is

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