displacement current and properties of electromagnetic wave questions with solutions

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• MCQmediumElectromagnetic wavedisplacement current and properties of electromagnetic wave

  Match List I with List II

  List-I
  A. Gauss’s law of magnetostatics
  B. Faraday’s law of electro magnetic induction
  C. Ampere’s law
  D. Gauss’s law of electrostatics

  List-II

  I. ∮$\vec{E}$·$\vec{dA}$ = (1/ε₀)∫ρ dV

  II. $\int\vec{B.}\vec{dA}$= 0

  III.$\int\vec{E}.\vec{dl}$= -d/dt ∫ $\vec{B.}\vec{dl}$

  IV. ∮$\vec{B}.\vec{dl}$= μ₀I

  Choose the correct answer from the options given below:

  Options

  • Option A

    A-I, B-III, C-IV, D-II

  • Option B

    A-III, B-IV, C-I, D-II

  • Option C

    A-IV, B-II, C-III, D-I

  • Option D

    A-II, B-III, C-IV, D-I

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• MCQeasyElectromagnetic wavedisplacement current and properties of electromagnetic wave

  A parallel-plate capacitor is being charged by a conduction current I. Neglect leakage. The displacement current between the capacitor plates is:

  Options

  • Option A

    0

  • Option B

    I

  • Option C

    I/2

  • Option D

    2I

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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

  A plane electromagnetic wave travels along the +x-axis in free space. Which condition is impossible for the wave?

  Options

  • Option A

    E has a y-component and B has a z-component

  • Option B

    E has a z-component and B has a y-component

  • Option C

    E has a non-zero x-component

  • Option D

    Both option A and option B can represent suitable transverse field orientations

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• MCQmediumElectromagnetic wavedisplacement current and properties of electromagnetic wave

  The magnetic field of a plane electromagnetic wave is

  B = B₀ sin[2πνt-(2πx / λ)] ĵ.

  The wave propagates in the +x direction through a medium in which the wave speed is νλ. Which expression gives the associated electric field?

  Options

  • Option A

    E = -νλB₀ sin[2πνt-(2πx / λ)] k̂

  • Option B

    E = -νλB₀ sin[2πνt-(2πx / λ)] î

  • Option C

    E = +νλB₀ sin[2πνt-(2πx / λ)] k̂

  • Option D

    E = +νλB₀ sin[2πνt-(2πx / λ)] î

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• MCQeasyElectromagnetic wavedisplacement current and properties of electromagnetic wave

  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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• MCQeasyElectromagnetic wavedisplacement current and properties of electromagnetic wave

  Match the List-I with List-II

  List-I
  A. Radio-wave
  B. Micro-wave
  C. Infrared-wave
  D. X-ray

  List-II I. is produced by Magnetron valve II. Due to change in the vibrational modes of atoms III. Due to inner shell electrons moving from higher energy level to lower energy level IV. Due to rapid acceleration of electrons

  Choose the correct answer from the options given below:

  Options

  • Option A

    A-II, B-IV, C-III, D-I

  • Option B

    A-IV, B-III, C-I, D-II

  • Option C

    A-IV, B-I, C-II, D-III

  • Option D

    A-IV, B-II, C-I, D-III

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• MCQmediumElectromagnetic wavedisplacement current and properties of electromagnetic wave

  Match List-I with List-II.

  List-I (Relation)

  A. ∮$\vec{E}$·$\vec{dl}$ = -d/dt ∫$\vec{B}$·$\vec{da}$

  B. ∮$\vec{B}$·$\vec{dl}$ = μ₀[I + ε₀ dΦ(E)/dt]

  C. ∮$\vec{E}$·$\vec{da}$ = (1/ε₀)∫ρ dv

  D. ∮$\vec{B}$·$\vec{dl}$= μ₀I

  List-II (Law)

  I. Ampere's circuital law. II. Faraday's laws of electromagnetic induction. III. Ampere-Maxwell law IV. Gauss's law of electrostatics

  Choose the correct answer from the options given below :

  Options

  • Option A

    A-II, B-III, C-I, D-IV

  • Option B

    A-II, B-III, C-IV, D-I

  • Option C

    A-I, B-IV, C-III, D-II

  • Option D

    A-IV, B-I, C-II, D-III

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  JEE Mains 202623 January Morning Shift

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• Multi-correctmediumElectromagnetic wavedisplacement current and properties of electromagnetic wave

  The electric field associated with an electromagnetic wave travelling in vacuum is given by E₀ sin(3y + 4z + ωt) î, where ω is the angular frequency. All quantities are in SI units. The correct statement(s) about this wave is/are: [Given: speed of light in vacuum c = 3 × 10⁸ m s⁻¹.]

  Select all that apply

  • Option A

    The wave is travelling in -(1/5)(3ĵ + 4k̂) direction.

  • Option B

    The magnitude of the wave vector is 0.5 m⁻¹.

  • Option C

    The value of ω is 1.5 × 10⁹ rad s⁻¹.

  • Option D

    The magnetic field associated with this wave is given by (E₀/c) sin(3y + 4z + ωt)(4ĵ - 3k̂).

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  JEE Advanced2026Paper 1

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• NumericeasyElectromagnetic wavedisplacement current and properties of electromagnetic wave

  A circular parallel-plate capacitor of radius 12 cm is charged by a current of 9 A. Assuming uniform electric field, the displacement current through a concentric circular surface of radius 4 cm between the plates is N ampere. Find N.

  Your answer

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