# objective questions on maxwell’s equations

## Objective Questions on Maxwell’s Equations and Electromagnetic Waves

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Antenna Fundamental Parameters MCQ

### Multiple Choice Questions

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

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

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

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

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

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

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

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

• Differential
• Integral
• Algebraic
• None of these

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

• Tangential
• Normal
• None of these
• Cannot say

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

• Infinity
• Unity
• Zero
• None of these

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

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

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

• Infinity
• Unity
• Zero
• None of these

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

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

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

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

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

Q.23. The electric field for time varying potentials

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

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

• 40 πΩ
• 9 Ω
• 120 πΩ
• 60 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

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

• normal to the surface
• tangential to source
• zero

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.