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Electromagnetic Theory Mock Tests

17 questions available

Electromagnetic Theory Mock Test 1

Questions: 17

नमूना प्रश्न

GATE Physics
The boundary condition at the surface of a perfect conductor in electrostatics is that the electric field:
A is perpendicular to the surface and its magnitude is σ/ε₀
B is parallel to the surface and its magnitude is zero
C is zero everywhere inside and outside the conductor
D is perpendicular to the surface and its magnitude is σ
GATE Physics
The electric potential at a distance r from a point charge q in vacuum is:
A q/(4πε₀r)
B q/(ε₀r)
C 4πε₀qr
D qr/(4πε₀)
GATE Physics
The index of refraction n of a medium is related to its relative permittivity εᵣ and relative permeability μᵣ by:
A n = √(εᵣμᵣ)
B n = εᵣ + μᵣ
C n = εᵣ/μᵣ
D n = √(εᵣ/μᵣ)
GATE Physics
In vacuum, which of the following sets of Maxwell's equations correctly relates the electric field E, magnetic field B, charge density ρ, and current density J? (ε₀ and μ₀ are constants)
A ∇·E = ρ/ε₀, ∇·B = 0, ∇×E = -∂B/∂t, ∇×B = μ₀J + μ₀ε₀∂E/∂t
B ∇·E = ρε₀, ∇·B = 0, ∇×E = -∂B/∂t, ∇×B = J + ε₀∂E/∂t
C ∇·E = ρ/ε₀, ∇·B = ρ_m/μ₀, ∇×E = -∂B/∂t, ∇×B = μ₀J
D ∇·E = 0, ∇·B = 0, ∇×E = -∂B/∂t, ∇×B = μ₀ε₀∂E/∂t
GATE Physics
In electromagnetism, the Lorentz gauge condition on the scalar potential φ and vector potential A is:
A ∇·A + (1/c²)∂φ/∂t = 0
B ∇·A - (1/c²)∂φ/∂t = 0
C ∇×A + (1/c²)∂φ/∂t = 0
D ∇·A = 0
GATE Physics
The Poynting vector S is defined as (where E is the electric field and B is the magnetic field):
A (1/μ₀)(E × B)
B (1/μ₀)(E · B)
C ε₀(E × B)
D (1/μ₀)(E · B)̂
GATE Physics
A point charge q is placed at distance d from an infinite grounded conducting plane. The magnitude of the induced surface charge density on the plane at the point closest to q is:
A -q/(4πd²)
B -q/(2πd²)
C -q/(πd²)
D -2q/(πd²)
GATE Physics
The divergence of a curl is always:
A zero
B one
C infinite
D undefined

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