objective questions on maxwell’s equations

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Objective Questions on Maxwell’s Equations and Electromagnetic Waves

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Multiple Choice Questions

Q.1. Maxwell’s equations shelter on __________ law(s).

  1. Faraday’s
  2. Gauss’s
  3. Ampere’s
  4. All of these

Answer: All of these

Q.2. Conduction current through a wire is __________ displacement current in capacitor.

  • Same as
    • Different from
    • Twice of
    • None of these

Answer: Same as

Q.3. Absolute permeability of free space is

  • 4π × 10-7 A/m
  • 4π × 10-7 H/m
  • 4π × 10-7 F/m
  • 4π × 10-7 H/m2

Answer: 4π × 10-7 H/m

Q.4. For static magnetic field,

  • ∇ × B = ρ
  • ∇ × B = μJ
  • ∇ × B = μ0J
  • ∇ × B = 0

Answer: ∇ × B = μJ

Q.5. The time varying electric field is

  • E = − ∇V
  • E = − ∇V − Ȧ
  • E = − ∇V – B
  • E = − ∇V – D

Answer: E = − ∇V − Ȧ

Q.6. Maxwell’s third equation gives __________.

  • \bigtriangledown \times \vec{H}=\vec{J_{d}}+\frac{\partial \rho }{\partial t}
  • \bigtriangledown \cdot \vec{H}=J_{d}\frac{\partial \rho }{\partial t}
  • \bigtriangledown \cdot \vec{H}=\vec{J_{d}}+\frac{\partial \rho }{\partial t}
  • \bigtriangledown \times \vec{H}=J_{d}\frac{\partial \rho }{\partial t}

Answer: \bigtriangledown \times \vec{H}=\vec{J_{d}}+\frac{\partial \rho }{\partial t}

Q.7. Maxwell’s fourth equation gives __________.

  • \bigtriangledown \cdot \vec{E}=-\frac{\partial \vec{B} }{\partial t}
  • \bigtriangledown \times \vec{E}=-\frac{\partial \vec{B} }{\partial t}
  • \bigtriangledown \cdot \vec{E}=\frac{\partial \vec{B} }{\partial t}
  • \bigtriangledown \times \vec{E}=\frac{\partial \vec{B} }{\partial t}

Answer: \bigtriangledown \times \vec{E}=-\frac{\partial \vec{B} }{\partial t}

Q.8. In empty space, conduction current is __________.

  • Infinity
  1. Unity
  2. Zero
  3. None of these

Answer: Zero

Q.9. As per Maxwell’s first equation __________.

  • \bigtriangledown \times \vec{D}=\rho _{\nu }
  • \bigtriangledown \cdot \vec{D}=\rho _{\nu }
  • \bigtriangledown \times \vec{D}=\rho _{s }
  • \bigtriangledown \cdot \vec{D}=\rho _{s }

Answer: \bigtriangledown \cdot \vec{D}=\rho _{\nu }

Q.10. Maxwell’s second equation gives __________.

  • \bigtriangledown \times \vec{B}=0
  • \bigtriangledown \cdot \vec{B}=0
  • \bigtriangledown \times \vec{B}=1
  • \bigtriangledown \cdot \vec{B}=1

Answer: \bigtriangledown \cdot \vec{B}=0

Q.11. emf is closed __________ integral of non-conservational electric field that is generated by battery.

  • Line
  • Surface
  • Volume
  • None of these

Answer: Line

Q.12. Maxwell’s equations in __________ form give unformation at points of discontinuity in electromagnetic fields.

  • Differential
  • Integral
  • Algebraic
  • None of these

Answer: Integral

Q.13. At the point of discontinuity, __________ component of magnetic flux density is continuous.

  • Tangential
  • Normal
  • None of these
  • Cannot say

Answer: Normal

Q.14. For those surfaces where surface charge density is __________ normal component of electric flux density is continuous.

  • Infinity
  • Unity
  • Zero
  • None of these

Answer: Zero

Q.15. Displacement current density  ____________ current passing through a capacitor.

  • Represents
  • Does not represent
  • Is the same as
  • None of these

Answer: Does not represent

Q.16. Line integral of an electric field around a closed path is __________.

  • Infinity
  • Unity
  • Zero
  • None of these

Answer: Zero

Q.17. __________ are caused by accelerated charges.

  • Time-varying fields
  • Waves
  • Both Time-varying fields & Waves
  • None of these

Answer: Both Time-varying fields & Waves

Q.18. Maxwell’s equations give the relations between

  • different fields
  • different sources
  • different boundary conditions
  • none of these

Answer: different fields

Q.19. cosine of the angle between the two vectors is

  • sum of the products of the directions of the two vectors
  • difference of the products of the directions of the two vectors
  • product of the products of the directions of the two vectors
  • none of these

Answer: sum of the products of the directions of the two vectors

Q.20. The electric field intensity, E at a point (1, 2, 2) due to (1/9) nc located at (0, 0, 0) is

  • 33 V/m
  • 0.333 V/m
  • 0.33 V/m
  • Zero

Answer: 0.33 V/m

Q.21. If E is a vector, then ∇ . ∇ × E is

  • 0
  • 1
  • does not exist
  • none of these

Answer: 0

Q.22. For free space,

  • σ = ∞
  • σ =0
  • J ≠ 0
  • none of these

Answer: σ =0

Q.23. The electric field for time varying potentials

  • E = − ∇V
  • E = − ∇V – A
  • E = ∇V
  • E = − ∇V + A

Answer: E = − ∇V

Q.24. The intrinsic impedence of the medium whose σ = 0, ∈r = 9, μr = 1 is

  • 40 πΩ
  • 9 Ω
  • 120 πΩ
  • 60 πΩ

Answer: 40 πΩ

Q.25 For time varying EM fields

  • ∇ × H = J
  • ∇ × H = + J
  • ∇ × E = 0
  • none of these

Answer: ∇ × H = + J

Q.26. The wavelength of a wave with a propagation constant = 0.1π + j 0.2π is

  • 10 m
  • 20 m
  • 30 m
  • 25 m

Answer: 10 m

Q.27. The electric field just above a conductor is always

  • normal to the surface
  • tangential to source
  • zero

Answer: normal to the surface

Q.28. The normal components of D are

  • continuous across a dielectric boundary
  • discontinuous across a dielectric boundary
  • zero

Answer: continuous across a dielectric boundary

Q.29. If Jc = 1 mA/m2 in a medium whose conductivity is σ = 10 Mho/m, E is

  • 0.1 V/m
  • 10μ V/m
  • 1.0μ V/m
  • 10 V/m.

Answer: 0.1 V/m

Q.30. If Jd = 2 mA/m2 in a medium whose ∈r = 2, σ= 4.95 Mho/m at a frequency of 1 GHz, Jc is

  • 8.9 mA/m2
  • 89 mA/m2
  • 0.89 mA/m2
  • 89 A/m2

Answer: 89 mA/m2

Objective Questions on Electrostatic Field

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