MAXWELL THEORY EXAMINATION
QUESTION AND CORRECT ANSWERS
(VERIFIED ANSWERS) PLUS RATIONALES
2026 Q&A INSTANT DOWNLOAD PDF
1. Maxwell’s equations unify which physical phenomena?
A. Gravity and inertia
B. Electricity and magnetism
C. Heat and work
D. Space and time
Answer: B
Rationale: Maxwell showed that electric and magnetic fields are
interrelated aspects of a single electromagnetic field.
2. Which Maxwell equation expresses Gauss’s law for electricity?
A. ∇·E = 0
B. ∇·B = 0
C. ∇·E = ρ/ε₀
D. ∇×E = −∂B/∂t
Answer: C
Rationale: Gauss’s law relates electric flux divergence to charge density.
3. The absence of magnetic monopoles is expressed by
A. ∇×B = μ₀J
B. ∇·B = 0
C. ∇·E = ρ/ε₀
D. ∇×E = 0
Answer: B
, Rationale: Zero divergence of B means magnetic field lines have no
beginning or end.
4. Faraday’s law of induction is written as
A. ∇×E = −∂B/∂t
B. ∇×B = μ₀ε₀∂E/∂t
C. ∇·E = 0
D. ∇·B = ρ/μ₀
Answer: A
Rationale: Time-varying magnetic fields induce circulating electric fields.
5. The displacement current term appears in
A. Gauss’s law
B. Faraday’s law
C. Ampère–Maxwell law
D. Coulomb’s law
Answer: C
Rationale: Maxwell added ε₀∂E/∂t to preserve charge conservation.
6. The continuity equation expresses conservation of
A. Energy
B. Charge
C. Momentum
D. Flux
Answer: B
Rationale: ∇·J + ∂ρ/∂t = 0 ensures local charge conservation.
7. In vacuum, electromagnetic waves propagate at speed
A. c = 1/√(μ₀ε₀)
B. √(μ₀ε₀)
C. μ₀ε₀
D. 1/(μ₀ε₀)
Answer: A
Rationale: Maxwell identified this speed with the speed of light.
, 8. Which field is solenoidal?
A. Electric field with charges
B. Magnetic field
C. Displacement field D
D. Polarization field P
Answer: B
Rationale: Magnetic fields have zero divergence.
9. The integral form of Faraday’s law relates emf to
A. Electric flux
B. Magnetic flux
C. Charge density
D. Current density
Answer: B
Rationale: The induced emf equals the negative rate of change of
magnetic flux.
10.Which quantity is gauge dependent?
A. Electric field
B. Magnetic field
C. Scalar potential
D. Energy density
Answer: C
Rationale: Potentials change under gauge transformations, fields do not.
11.The Lorenz gauge condition is
A. ∇·A = 0
B. ∇·A + (1/c²)∂φ/∂t = 0
C. φ = 0
D. A = 0
Answer: B
Rationale: This gauge yields symmetric wave equations for potentials.
QUESTION AND CORRECT ANSWERS
(VERIFIED ANSWERS) PLUS RATIONALES
2026 Q&A INSTANT DOWNLOAD PDF
1. Maxwell’s equations unify which physical phenomena?
A. Gravity and inertia
B. Electricity and magnetism
C. Heat and work
D. Space and time
Answer: B
Rationale: Maxwell showed that electric and magnetic fields are
interrelated aspects of a single electromagnetic field.
2. Which Maxwell equation expresses Gauss’s law for electricity?
A. ∇·E = 0
B. ∇·B = 0
C. ∇·E = ρ/ε₀
D. ∇×E = −∂B/∂t
Answer: C
Rationale: Gauss’s law relates electric flux divergence to charge density.
3. The absence of magnetic monopoles is expressed by
A. ∇×B = μ₀J
B. ∇·B = 0
C. ∇·E = ρ/ε₀
D. ∇×E = 0
Answer: B
, Rationale: Zero divergence of B means magnetic field lines have no
beginning or end.
4. Faraday’s law of induction is written as
A. ∇×E = −∂B/∂t
B. ∇×B = μ₀ε₀∂E/∂t
C. ∇·E = 0
D. ∇·B = ρ/μ₀
Answer: A
Rationale: Time-varying magnetic fields induce circulating electric fields.
5. The displacement current term appears in
A. Gauss’s law
B. Faraday’s law
C. Ampère–Maxwell law
D. Coulomb’s law
Answer: C
Rationale: Maxwell added ε₀∂E/∂t to preserve charge conservation.
6. The continuity equation expresses conservation of
A. Energy
B. Charge
C. Momentum
D. Flux
Answer: B
Rationale: ∇·J + ∂ρ/∂t = 0 ensures local charge conservation.
7. In vacuum, electromagnetic waves propagate at speed
A. c = 1/√(μ₀ε₀)
B. √(μ₀ε₀)
C. μ₀ε₀
D. 1/(μ₀ε₀)
Answer: A
Rationale: Maxwell identified this speed with the speed of light.
, 8. Which field is solenoidal?
A. Electric field with charges
B. Magnetic field
C. Displacement field D
D. Polarization field P
Answer: B
Rationale: Magnetic fields have zero divergence.
9. The integral form of Faraday’s law relates emf to
A. Electric flux
B. Magnetic flux
C. Charge density
D. Current density
Answer: B
Rationale: The induced emf equals the negative rate of change of
magnetic flux.
10.Which quantity is gauge dependent?
A. Electric field
B. Magnetic field
C. Scalar potential
D. Energy density
Answer: C
Rationale: Potentials change under gauge transformations, fields do not.
11.The Lorenz gauge condition is
A. ∇·A = 0
B. ∇·A + (1/c²)∂φ/∂t = 0
C. φ = 0
D. A = 0
Answer: B
Rationale: This gauge yields symmetric wave equations for potentials.
