Magnetic Field Produced by Moving Charges questions with solutions

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• MCQmediumMagnetic effect of currentMagnetic Field Produced by Moving Charges

  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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• MCQmediumMagnetic effect of currentMagnetic Field Produced by Moving Charges

  A point charge q moves with velocity v. At an observation point whose position vector r from the charge makes angle θ with v, what is the magnetic-field magnitude in the non-relativistic approximation?

  Options

  • Option A

    μ₀qv/(4πr²)

  • Option B

    μ₀|q|v sinθ/(4πr²)

  • Option C

    μ₀|q|v cosθ/(4πr²)

  • Option D

    μ₀|q|v sinθ/(4πr)

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• MCQmediumMagnetic effect of currentMagnetic Field Produced by Moving Charges

  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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• MCQeasyMagnetic effect of currentMagnetic Field Produced by Moving Charges

  A very long straight wire carries current I. At an instant, a positive charge +Q at point P moves with velocity v⃗ as shown in the diagram. What is the direction of magnetic force on the charge? [Image]

  Options

  • Option A

    along y

  • Option B

    opposite y

  • Option C

    along x

  • Option D

    opposite x

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• Multi-correctmediumMagnetic effect of currentMagnetic Field Produced by Moving Charges

  For the instantaneous magnetic field produced by a non-relativistic moving point charge, select the correct statements.

  Select all that apply

  • Option A

    The field is zero on the line of motion.

  • Option B

    For fixed r and v, its magnitude is maximum when r is perpendicular to v.

  • Option C

    Its direction is determined by q(v×r̂).

  • Option D

    It is always parallel to the velocity.

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• MCQmediumMagnetic effect of currentMagnetic Field Produced by Moving Charges

  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 Produced by Moving Charges

  A rigid body has charge density everywhere proportional to mass density with constant ratio Q/M and rotates non-relativistically about a fixed axis. Which statements are correct?

  Select all that apply

  • Option A

    Its magnetic moment is proportional to its angular momentum.

  • Option B

    The ratio μ/L can be independent of angular speed.

  • Option C

    Reversing rotation reverses both μ and L.

  • Option D

    The ratio μ/L must depend on the size of the body.

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• Multi-correctmediumMagnetic effect of currentMagnetic Field Produced by Moving Charges

  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 Produced by Moving Charges

  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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• IntegermediumMagnetic effect of currentMagnetic Field Produced by Moving Charges

  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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