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Net field at the centre of two concentric coplanar coils

This type of question, asked 2 times: 15 May 2023 S2, 12 May 2024 S2. All 2 questions below, oldest first.

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  1. Question 1

    15 May 2023 S2

    23
    Two concentric circular coils A and B having radii 20 cm and 10 cm respectively lie in the same plane. The current in coil A is 0.5 A in anticlockwise direction. The current in coil B, so that net magnetic field at the common centre is zero, is

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  2. Question 2

    12 May 2024 S2

    18
    Two concentric circular coils of 10 turns each are situated in the same plane. Their radii are 20 cm and 40 cm and they carry respectively 0.2 A and 0.3 A current in opposite direction. The magnetic field at the centre is (μ0=4π×10−7\mu_0 = 4\pi \times 10^{-7} SI units)

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