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Two wires with opposite currents: field at a point whose lines to the wires are perpendicular

The same question, asked 3 times: 10 May 2024 S1, 19 Apr 2025 S1*, 11 Apr 2026 S1. Every wording below, oldest first.

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  1. Question 1

    10 May 2024 S1

    35
    Two long parallel wires carrying currents 8 A and 15 A in opposite directions are placed at a distance of 7 cm from each other. A point P is equidistant from both the wires such that the lines joining the point to the wires are perpendicular to each other. The magnitude of magnetic field at point P is (2=1.4)(\sqrt{2} = 1.4) (μ0=4π×10−7 H/m)(\mu_0 = 4\pi \times 10^{-7}\,\text{H/m})

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  2. Question 2

    19 Apr 2025 S1

    6
    Two long parallel wires carrying currents 4 A and 3 A in opposite directions are placed at a distance of 5 cm from each other. A point PP is at equidistance from both the wires such that the line joining the point PP to the wires are perpendicular to each other. The magnitude of magnetic field at point P is ( μ0=\mu_{0}= permeability of free space =4π×10−7= 4\pi\times10^{- 7} SI unit)

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  3. Question 3

    11 Apr 2026 S1

    132
    Two long parallel wires carrying currents 8A and 15A in opposite directions are placed at a distance of 77 cm from each other. A point P is at equidistant from both the wires such that the lines joining the point P to the wires are perpendicular to each other. The magnetic field at P is ___ ×10−6\times 10^{-6} T. (Given: 2=1.4,μ0=4π×10−7\sqrt{2} = 1.4, \mu_0 = 4\pi \times 10^{-7} SI unit)

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