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How the force between two parallel wires changes when the currents or the distance change

This type of question, asked 4 times: 9 May 2024 S2, 11 May 2024 S2, 19 Apr 2025 S1, 19 Apr 2025 S2. All 4 questions below, oldest first.

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  1. Question 1

    9 May 2024 S2

    39
    10 A current is flowing in two straight parallel wires in the same direction. Force of attraction between them is 1×10−31 \times 10^{-3} N. If the current is doubled in both the wires the force will be

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  2. Question 2

    11 May 2024 S2

    37
    Two long conductor separated by a distance 'd' carry currents I1I_1 and I2I_2 in the same direction. They exert a force 'F' on each other. Now the current in one of them is increased to two times and its direction is reversed. The distance between them is also increased to 3d. The new value of force between them is

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  3. Question 3

    19 Apr 2025 S1

    36
    Two long straight wires AA and BB carrying equal current 'I' were kept parallel to each other at distance 'd' apart. Magnitude of magnetic force experienced by length LL of wire AA is ' FF '. If the distance between the wires is made half and currents are doubled, force F2F_{2} on length LL of wire AA will be

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  4. Question 4

    19 Apr 2025 S2

    44
    Two long conductors separated by a distance ' dd ' carry currents ' I1I_{1} ' and ' I2I_{2} ' in the same directions. They exert a force ' FF ' on each other. The distance between them is increased to ' 3d3d '. If new repulsive force of magnitude ' 23 F\frac{2}{3}\text{ }F ' is found between these conductors, the required change in the magnitude and direction of one of the currents in the conductor is respectively [length of the conductors is constant]

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