magnetic field due to moving charge questions with solutions

Showing 1–10 of 16 questions

• MCQmediumMagnetic effect of currentmagnetic field due to moving charge

  A uniformly charged non-conducting disc of radius R and total charge Q rotates with angular speed ω. What is its magnetic dipole moment?

  Options

  • Option A

    QωR²/2

  • Option B

    QωR²/4

  • Option C

    QωR²

  • Option D

    QωR/4

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• NumericmediumMagnetic effect of currentmagnetic field due to moving charge

  A ring of radius 0.20 m carries charge 4 μC uniformly and rotates at 100 revolutions per second. Determine its equivalent current in μA.

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• IntegermediumMagnetic effect of currentmagnetic field due to moving charge

  An electron in a hydrogen atom moves with speed 6.76 × 10⁶ m s⁻¹ in an orbit of radius 0.52 Å. Find the magnetic field at the nucleus, in tesla.

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  15 April 2023 Morning Shift

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• Multi-correctmediumMagnetic effect of currentmagnetic field due to moving charge

  Two equal positive charges move parallel to each other with equal non-relativistic speed. Which statements are correct?

  Select all that apply

  • Option A

    The magnetic interaction reduces the net repulsion.

  • Option B

    The electric force is repulsive.

  • Option C

    The magnetic-to-electric force ratio is of order v²/c².

  • Option D

    The magnetic force exceeds the electric force at every non-zero speed.

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• MCQmediumMagnetic effect of currentmagnetic field due to moving charge

  A ring has total charge Q and total mass M uniformly distributed and rotates about its symmetry axis. What is the ratio of magnetic moment μ to angular momentum L?

  Options

  • Option A

    Q/M

  • Option B

    Q/(2M)

  • Option C

    2Q/M

  • Option D

    QM/2

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• NumericmediumMagnetic effect of currentmagnetic field due to moving charge

  A hollow, right circular cone of base radius R and height h, with its tip at the origin is rotating about the Z-axis with an angular velocity ω, as shown in the figure. The cone carries a total charge Q uniformly distributed on its curved surface. The magnitude of magnetic field at a point (0,0,z), where z ≫ R and z ≫ h, is n μ₀QR²ω/(4πz³). The value of n is:

  

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  JEE Advanced2026Paper 1

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• Multi-correctmediumMagnetic effect of currentmagnetic field due to moving charge

  A uniformly charged disc rotates about its symmetry axis. Which steps are valid for finding the magnetic field at its centre?

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  • Option A

    Divide the disc into concentric rings.

  • Option B

    Find the charge dq on each ring.

  • Option C

    Replace each rotating ring by its equivalent current dI.

  • Option D

    Add the magnetic fields dB of all rings.

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• MCQmediumMagnetic effect of currentmagnetic field due to moving charge

  Two equal positive charges move parallel to each other with equal speed v and fixed instantaneous separation perpendicular to their velocities. What are the directions of their electric and magnetic interactions?

  Options

  • Option A

    Both attractive

  • Option B

    Both repulsive

  • Option C

    Electric repulsive and magnetic attractive

  • Option D

    Electric attractive and magnetic repulsive

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• Multi-correctmediumMagnetic effect of currentmagnetic field due to moving charge

  A uniformly charged thin spherical shell rotates about a diameter. Which statements are correct?

  Select all that apply

  • Option A

    Different latitude rings have different radii.

  • Option B

    Each latitude ring can be treated as an equivalent current loop.

  • Option C

    The axial components of their magnetic moments must be integrated.

  • Option D

    The net magnetic moment is necessarily zero.

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• MCQmediumMagnetic effect of currentmagnetic field due to moving charge

  A uniformly charged non-conducting ring of radius R and total charge Q rotates with angular speed ω. Find the magnetic field at its centre.

  Options

  • Option A

    μ₀Qω/(4πR)

  • Option B

    μ₀Qω/(4R)

  • Option C

    μ₀QωR/4

  • Option D

    μ₀Qω/(2R)

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