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Circular loop and straight wire in one plane: distance at which the field at the loop's centre is zero

The same question, asked 2 times: 9 May 2023 S2, 11 May 2023 S2. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    9 May 2023 S2

    23
    A current carrying circular loop of radius 'R' and current carrying long straight wire are placed in the same plane. IcI_c and IwI_w are the currents through circular loop and long straight wire respectively. The perpendicular distance between centre of the circular loop and wire is 'd'. The magnetic field at the centre of the loop will be zero when separation 'd' is equal to

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  2. Question 2

    11 May 2023 S2

    22
    A current carrying circular loop of radius 'R' and current carrying long straight wire are placed in the same plane. The current through circular loop and long straight wire are 'ICI_C' and 'IwI_w' respectively. The perpendicular distance between centre of the circular loop and wire is 'd'. The magnetic field at the centre of the loop will be zero when separation 'd' is equal to

    Tap an option to check your answer.