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Force per unit length between two parallel current-carrying wires

This type of question, asked 5 times: 15 May 2023 S1, 10 May 2024 S2, 13 Apr 2026 S2, 19 Apr 2026 S1, 19 May 2026 S2. All 5 questions below, oldest first.

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  1. Question 1

    15 May 2023 S1

    14
    Two parallel wires separated by distance bb are carrying equal current II in the same direction. The force per unit length of the wire is

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  2. Question 2

    10 May 2024 S2

    21
    Two wires 2 mm apart supply current to a 100 V, 1 kW heater. The force per metre between the wires is (μ0=4π×10−7\mu_0=4\pi\times10^{-7} SI unit)

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  3. Question 3

    13 Apr 2026 S2

    133
    Two long straight wires are arranged parallel to each other and are kept 2020 cm apart in vacuum. They carry currents of 22 A and 44 A respectively in the same direction. What will be the magnetic force on a length of 1010 cm of either wire? (μ0=4π×10−7(\mu_0 = 4\pi \times 10^{-7} SI units))

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  4. Question 4

    19 Apr 2026 S1

    133
    Two thin long parallel wires, W1W_1 and W2W_2 separated by distance 'aa', carry currents ii and 3i3i respectively in the same direction. The magnitude of the force per unit length exerted by wire W1W_1 on wire W2W_2 is

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  5. Question 5

    19 May 2026 S2

    131
    The currents through two thin long parallel wires, A and B carrying II and I3\dfrac{I}{3} respectively, in the same direction. The distance between two wires is 'dd'. The magnitude of force per unit length exerted by wire A on wire B is

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