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Field midway between two parallel current-carrying wires

This type of question, asked 9 times: May 2022 S1, 11 May 2023 S1, 11 May 2024 S1, 21 Apr 2025 S1, 21 Apr 2025 S2, 11 Apr 2026 S2, 12 May 2026 S1, 12 May 2026 S2, 14 May 2026 S2. All 9 questions below, oldest first.

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  1. Question 1

    May 2022 S1

    20
    Two parallel conducting wires of equal length are placed distance dd apart, carry currents I1I_1 and I2I_2 respectively in opposite directions. The resultant magnetic field at the midpoint of the distance between both the wires is

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  2. Question 2

    11 May 2023 S1

    38
    Two long straight parallel wires are separated by a distance '2d'. Each wire carries a current 'I' in the same direction. The magnetic field at a point 'P' midway between them is

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  3. Question 3

    11 May 2024 S1

    43
    Two parallel wires of equal lengths are separated by a distance of 3 m from each other. The currents flowing through 1st and 2nd wire is 3 A and 4.5 A respectively in opposite directions. The resultant magnetic field at mid point between the wires (μ0\mu_0 = permeability of free space)

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  4. Question 4

    21 Apr 2025 S1

    11
    Two identical long parallel wires carry currents ' I1I_{1} ' and ' I2I_{2} ' such that I1>I2I_{1}>I_{2}. When the currents are in the same direction, the magnetic field at a point midway between the wires is 8×10−6 T8\times10^{-6}\text{ }T. If the direction of I2I_{2} is reversed, the field becomes 3.2×10−5 T3.2\times10^{-5}\text{ }T. The ratio of I2I_{2} to I1I_{1} is

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  5. Question 5

    21 Apr 2025 S2

    50
    Two long parallel wires carry currents I1I_{1} and I2(I1>I2)I_{2}\left( I_{1}>I_{2} \right). When currents are flowing in the same direction, the magnetic field at a point midway between the wires is 6×10−6 T6\times10^{- 6}\text{ }T. If the direction of I2I_{2} is reversed the field at midpoint becomes 3×10−5 T3\times10^{- 5}\text{ }T. The ratio I1:I2I_{1}:I_{2} is

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  6. Question 6

    11 Apr 2026 S2

    133
    Two parallel wires of equal lengths are separated by a distance of 33 m from each other. The currents flowing through first and second wire is 33 A and 4.54.5 A respectively in opposite directions. The resultant magnetic field at mid point of both the wires is (μ0\mu_0=permeability of free space)

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  7. Question 7

    12 May 2026 S1

    134
    Two long straight parallel wires are separated by a distance of 2020 cm. Each wire carries current 55 mA in the same direction. The magnetic field at a point P midway between them is {μ0\{\mu_0 = permeability of free space}\}

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  8. Question 8

    12 May 2026 S2

    131
    Two parallel wires of equal lengths are separated by a distance of 33 m from each other. The currents flowing through first and second wire is 33A and 4.54.5A respectively in opposite directions. The resultant magnetic field at mid point of both the wires is (μ0\mu_0 = permeability of free space)

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  9. Question 9

    14 May 2026 S2

    132
    Two parallel long wires carry currents i1i_1 and i2i_2 with i1>i2i_1 > i_2. When the currents are in the same direction, the magnetic field at a point midway between the wires is 10 μT10\ \mu\mathrm{T}. If the direction of i2i_2 is reversed then the field becomes 30 μT30\ \mu\mathrm{T}. The ratio i1i2\dfrac{i_1}{i_2}

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