displacement current and properties of electromagnetic wave questions with solutions

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• NumericeasyElectromagnetic wavedisplacement current and properties of electromagnetic wave

  A capacitor of capacitance 5 μF has potential difference V = 100t² V. At t = 0.02 s, if the displacement current is N μA, find N.

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• MCQmediumElectromagnetic wavedisplacement current and properties of electromagnetic wave

  A plane EM wave is propagating along x direction. It has a wavelength of 4 mm. If electric field is in y direction with the maximum magnitude of 60 V m⁻¹, the equation for magnetic field is:

  Options

  • Option A

    B(z) = 60 sin[(π/2)(x - 3 × 10⁸t)] k̂ T

  • Option B

    B(z) = 2 × 10⁻⁷ sin[(π/2) × 10³(x - 3 × 10⁸t)] k̂ T

  • Option C

    B(x) = 60 sin[(π/2)(x - 3 × 10⁸t)] î T

  • Option D

    B(z) = 2 × 10⁻⁷ sin[(π/2)(x - 3 × 10⁸t)] k̂ T

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  JEE Mains 2024 09 Apr Morning Shift

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• MCQeasyElectromagnetic wavedisplacement current and properties of electromagnetic wave

  An electromagnetic wave travels through free space in the +x direction. At a particular point and instant, its magnetic field is B = 2×10⁻⁷ĵ T. What is the corresponding electric-field vector at that point?

  Options

  • Option A

    60k̂ V·m⁻¹

  • Option B

    -60k̂ V·m⁻¹

  • Option C

    30k̂ V·m⁻¹

  • Option D

    -600k̂ V·m⁻¹

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  JEE Mains 2026 2 April Evening Shift

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• MCQeasyElectromagnetic wavedisplacement current and properties of electromagnetic wave

  If the electric-field amplitude of a plane electromagnetic wave is doubled without changing the medium, its average intensity becomes:

  Options

  • Option A

    2I

  • Option B

    4I

  • Option C

    I/2

  • Option D

    8I

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• MCQmediumElectromagnetic wavedisplacement current and properties of electromagnetic wave

  A circular parallel-plate capacitor of plate radius R is being charged by a constant current I. Assuming a uniform electric field between the plates, the magnetic field at a distance r < R from the axis is:

  Options

  • Option A

    μ₀I/(2πr)

  • Option B

    μ₀Ir/(2πR²)

  • Option C

    μ₀IR/(2πr²)

  • Option D

    0

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• MCQeasyElectromagnetic wavedisplacement current and properties of electromagnetic wave

  In a travelling plane electromagnetic wave in vacuum, the electric and magnetic fields at the same point are:

  Options

  • Option A

    90° out of phase

  • Option B

    180° out of phase

  • Option C

    In phase

  • Option D

    Their phase relation depends on frequency

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• MCQmediumElectromagnetic wavedisplacement current and properties of electromagnetic wave

  A plane electromagnetic wave propagating in x-direction is described by Eᵧ = (200 V m⁻¹) sin[1.5 × 10⁷t – 0.05x] ; The intensity of the wave is : (Use ε₀ = 8.85 × 10⁻¹² C²N⁻¹m⁻²)

  Options

  • Option A

    35.4 Wm⁻²

  • Option B

    53.1 Wm⁻²

  • Option C

    26.6 Wm⁻²

  • Option D

    106.2 Wm⁻²

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• MCQmediumElectromagnetic wavedisplacement current and properties of electromagnetic wave

  The electric field of an electromagnetic wave has amplitude E₀ = 20 N C⁻¹. The energy contained in a volume 5 × 10⁻⁴ m³ is: (ε₀ = 8.85 × 10⁻¹² C² N⁻¹ m⁻²)

  Options

  • Option A

    88.5 × 10⁻¹³ J

  • Option B

    17.7 × 10⁻¹³ J

  • Option C

    8.85 × 10⁻¹³ J

  • Option D

    28.5 × 10⁻¹³ J

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  JEE Mains11 April 2023Shift 1Morning Shift

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• MCQeasyElectromagnetic wavedisplacement current and properties of electromagnetic wave

  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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• MCQeasyElectromagnetic wavedisplacement current and properties of electromagnetic wave

  For a sinusoidal electromagnetic wave, the ratio of average total energy density to average electric energy density is:

  Options

  • Option A

    1/2

  • Option B

    1

  • Option C

    2

  • Option D

    4

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