Displacement Current, Maxwell's Equations and Properties of Electromagnetic Waves questions with solutions

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• MCQeasyElectromagnetic waveDisplacement Current, Maxwell's Equations and Properties of Electromagnetic Waves

  For an electromagnetic wave propagating through vacuum, k represents the propagation vector, E represents the electric-field vector and ω is the angular frequency. Which expression represents the magnetic-field vector B associated with the wave?

  Options

  • Option A

    (E×k) /ω

  • Option B

    (k×E) /ω

  • Option C

    ω(E×k)

  • Option D

    ω(k×E)

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  JEE Mains 2026 6 April Evening Shift

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• NumericmediumElectromagnetic waveDisplacement Current, Maxwell's Equations and Properties of Electromagnetic Waves

  The equation of the electric field of an electromagnetic wave propagating through free space is given by :

  E = √377 sin(6.27 × 10³t - 2.09 × 10⁻⁵x) N/C

  The average power of the electromagnetic wave is (1/α) W/m². The value of α is _______

  (Take √(μ₀/ε₀) = 377 in SI units)

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  JEE Mains 202623 January Morning Shift

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• MCQmediumElectromagnetic waveDisplacement Current, Maxwell's Equations and Properties of Electromagnetic Waves

  For an electromagnetic wave, $\vec{E}$=E₀(4î-3ĵ)cos(ωt-kz). Which magnetic field is correct?

  Options

  • Option A

    $\vec{B}$=(E₀/c)(3î+4ĵ)cos(ωt-kz)

  • Option B

    $\vec{B}$=(E₀/c)(-3î-4ĵ)cos(ωt-kz)

  • Option C

    $\vec{B}$=(E₀/c)(3î-4ĵ)sin(ωt-kz)

  • Option D

    $\vec{B}$=(E₀/c)(-3î-4ĵ)sin(ωt-kz)

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  JEE Mains 2025 23 Jan Morning Shift

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• MCQmediumElectromagnetic waveDisplacement Current, Maxwell's Equations and Properties of Electromagnetic Waves

  A point source of 100 W emits light with 5% efficiency. At a distance of 5 m from the source, the intensity produced by the electric field component is:

  Options

  • Option A

    1/(2π) W m⁻²

  • Option B

    1/(40π) W m⁻²

  • Option C

    1/(10π) W m⁻²

  • Option D

    1/(20π) W m⁻²

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  JEE Mains30 January 2023Shift 2Evening Shift

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• MCQmediumElectromagnetic waveDisplacement Current, Maxwell's Equations and Properties of Electromagnetic Waves

  The magnetic field in a plane electromagnetic wave is Bᵧ = (3.5 × 10⁻⁷) sin(1.5 × 10³x + 0.5 × 10¹¹t) T. The corresponding electric field will be

  Options

  • Option A

    Eᵧ = 1.17 sin(1.5 × 10³x + 0.5 × 10¹¹t) V m⁻¹

  • Option B

    E(z) = 105 sin(1.5 × 10³x + 0.5 × 10¹¹t) V m⁻¹

  • Option C

    E(z) = 1.17 sin(1.5 × 10³x + 0.5 × 10¹¹t) V m⁻¹

  • Option D

    Eᵧ = 10.5 sin(1.5 × 10³x + 0.5 × 10¹¹t) V m⁻¹

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  JEE Mains 2024 09 Apr Evening Shift

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• MCQeasyElectromagnetic waveDisplacement Current, Maxwell's Equations and Properties of Electromagnetic Waves

  Which Maxwell equation is specifically required for time-varying magnetic conditions and reduces to the electrostatic form in static conditions?

  Options

  • Option A

    ∮D·dA = Q

  • Option B

    ∮E·dl = -dΦ(B)/dt

  • Option C

    ∮E·dl = 0

  • Option D

    ∮B·dl = μ₀I

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  JEE Mains13 April 2023Shift 1Morning Shift

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• NumericmediumElectromagnetic waveDisplacement Current, Maxwell's Equations and Properties of Electromagnetic Waves

  A circular parallel-plate capacitor of radius 0.10 m is charged by a current of 2 A. Assuming a uniform electric field between the plates, find the magnetic field at r = 0.05 m from the axis. If B = N×10⁻⁶ T, find N. Take μ₀ = 4π×10⁻⁷ T·m/A.

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  JEE MainsNEETJEE Advanced

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• MCQeasyElectromagnetic waveDisplacement Current, Maxwell's Equations and Properties of Electromagnetic Waves

  Which listed electromagnetic radiation has the smallest wavelength?

  Options

  • Option A

    X-rays

  • Option B

    Gamma rays

  • Option C

    Ultraviolet rays

  • Option D

    Microwaves

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• MCQmediumElectromagnetic waveDisplacement Current, Maxwell's Equations and Properties of Electromagnetic Waves

  In a medium, the ratio of relative permeability to relative permittivity is μᵣ/εᵣ = 1/4. Given √(μ₀/ε₀) = 120π Ω, find ratio E/H for an electromagnetic wave:

  Options

  • Option A

    30π : 1

  • Option B

    1 : 120π

  • Option C

    60π : 1

  • Option D

    120π : 1

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• MCQmediumElectromagnetic waveDisplacement Current, Maxwell's Equations and Properties of Electromagnetic Waves

  A lossless non-magnetic dielectric has refractive index n. A plane electromagnetic wave in this medium has the same electric-field amplitude E₀ as a wave in vacuum. If the vacuum-wave intensity is I, the intensity in the dielectric is:

  Options

  • Option A

    I/n

  • Option B

    nI

  • Option C

    n²I

  • Option D

    I

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