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Magnetic Fields Due to Electric Current

MHT-CET Physics. Try each one first, then open its answer.

Top 10 MHT-CET PYQs to practise first

The questions and kinds of question asked most often come first. Each one says how often and in which papers.

  1. Question 1

    This type 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. This one: 14 May 2026 S2 See all 9 of this type

    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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  2. Question 2

    This type asked 7 times: 13 May 2024 S2, 25 Apr 2025 S2, 16 Apr 2026 S2, 19 Apr 2026 S1, 19 Apr 2026 S2, 14 May 2026 S1, 19 May 2026 S2. This one: 19 May 2026 S2 See all 7 of this type

    132
    Consider a circular loop (radius RR) carrying current II, the magnetic field produced by it at a point on the axis at a distance zz from the centre of the loop is xR2(z2+R2)3/2\dfrac{xR^2}{(z^2 + R^2)^{3/2}}. The value of xx is

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  3. Question 3

    This type asked 7 times: 3 May 2023 S1, 3 May 2023 S2, 4 May 2023 S2, 12 May 2024 S2, 19 Apr 2025 S2, 15 Apr 2026 S2, 14 May 2026 S2. This one: 14 May 2026 S2 See all 7 of this type

    131
    A particle carrying a charge equal to 100100 times the charge of an electron is rotating one rotation per second in a circular path of radius 0.80.8 m. The value of magnetic field produced at the centre will be (μ0\mu_0 = permeability of free space)

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  4. Question 4

    This type asked 7 times: 10 May 2023 S2, 11 May 2023 S2, 20 Apr 2025 S1, 20 Apr 2025 S2, 25 Apr 2025 S2, 26 Apr 2025 S1, 18 Apr 2026 S1. This one: 18 Apr 2026 S1 See all 7 of this type

    133
    In the following figure, the magnitude of the magnetic field at point 'O' will be

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  5. Question 5

    This type asked 7 times: 4 May 2023 S1, 10 May 2023 S2, 12 May 2024 S1, 12 May 2024 S2, 11 Apr 2026 S2, 13 Apr 2026 S2, 15 Apr 2026 S1. This one: 15 Apr 2026 S1 See all 7 of this type

    132
    A circular coil of 'N' turns and diameter 'd' carries current 'I'. It is unwound and rewound to make another coil of diameter '2d', current 'I' remaining the Same. The ratio of magnetic moments of the new coil to the original coil is

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  6. Question 6

    This type asked 6 times: 3 May 2023 S1, 9 May 2023 S1, 9 May 2023 S2, 25 Apr 2025 S1, 20 Apr 2026 S1, 20 Apr 2026 S2. This one: 20 Apr 2026 S2 See all 6 of this type

    134
    A solenoid of 1000 turns is wound uniformly on a glass tube 4 m long and 0.30.3 m in diameter. The magnetic intensity at the centre of the solenoid when a current of 4 A flows through it is

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  7. Question 7

    This type asked 6 times: 2 May 2023 S1, 11 May 2023 S2, 15 May 2023 S1, 13 May 2024 S2, 23 Apr 2025 S1, 18 Apr 2026 S1. This one: 18 Apr 2026 S1 See all 6 of this type

    134
    The ratio of magnetic field at the centre of the current carrying circular loop and its magnetic moment is 'xx'. When both the current and radius are tripled, then the ratio will be

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  8. Question 8

    Asked 5 times: 10 May 2023 S1*, 16 May 2023 S2, 11 May 2024 S2*, 20 Apr 2026 S2*, 13 May 2026 S1 (* = numbers or wording changed that year) See all 5 times it was asked

    132
    An arc of a circle of radius R subtends an angle π/2\pi/2 at the centre. It carries a current I. The magnetic field at the centre will be (μ0\mu_0 = permeability of free space)

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  9. Question 9

    Asked 5 times: 14 May 2024 S2*, 20 Apr 2025 S1*, 21 Apr 2025 S2*, 15 Apr 2026 S2*, 17 Apr 2026 S1 (* = numbers or wording changed that year) See all 5 times it was asked

    131
    The magnetic field at the center of circular coil carrying current 'II' for a single turn of a given length of wire is 'BB'. The same wire is bent in a circular coil having two turns. When the same current passes through it, the value of magnetic field becomes

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  10. Question 10

    This type asked 5 times: 15 May 2023 S1, 10 May 2024 S2, 13 Apr 2026 S2, 19 Apr 2026 S1, 19 May 2026 S2. This one: 19 May 2026 S2 See all 5 of this type

    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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