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Electromagnetic Theory Mock Tests

17 questions available

Electromagnetic Theory Mock Test 1

Questions: 17

Sample Questions

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
The refractive index of a medium is n = √(εᵣμᵣ). For most transparent materials in the optical range, μᵣ ≈ 1. If the speed of light in a medium is 2 × 10⁸ m/s, the refractive index is approximately:
A 1.5
B 2.0
C 1.33
D 3.0
GATE Physics
The Poynting theorem expresses which fundamental conservation law?
A Conservation of energy in electromagnetic fields
B Conservation of charge
C Conservation of momentum
D Conservation of angular momentum
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
The Biot-Savart law gives the magnetic field dB at position r due to a current element Idl as:
A dB = (μ₀/4π)·(I dl × r̂)/r²
B dB = (μ₀/4π)·(I dl · r̂)/r²
C dB = (μ₀/4π)·(I dl × r)/r
D dB = (μ₀/4π)·(I dl)/r²
GATE Physics
The group velocity v_g of a wave packet is related to the phase velocity v_p by (in a dispersive medium):
A v_g = v_p - λ(dv_p/dλ)
B v_g = v_p + λ(dv_p/dλ)
C v_g = v_p · λ(dv_p/dλ)
D v_g = v_p/λ(dv_p/dλ)
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)

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