BEE FREE BEE Bachelor of Electrical Engineering Engineering Electromagnetics Fundamentals Questions and Answers 2

Question 1

A parallel-plate capacitor with plate area A and separation d is filled with a dielectric of permittivity ε. What is the capacitance?

Accepted Answer

εA/d

Answer

The capacitance of a parallel-plate capacitor is C = εA/d, directly proportional to permittivity and area and inversely proportional to separation.

Question 2

What is the divergence of the electric field in a region containing volume charge density ρ_v according to Gauss's law in differential form?

Accepted Answer

ρ_v / ε₀

Answer

Gauss's law in differential form states ∇·E = ρ_v/ε₀, relating the divergence of the electric field to the local charge density.

Question 3

A conducting loop moves through a uniform, time-invariant magnetic field. What is the induced EMF in the loop?

Accepted Answer

Zero

Answer

In a uniform and constant magnetic field, the total magnetic flux through a moving loop does not change, so by Faraday's law the induced EMF is zero.

Question 4

Which boundary condition holds for the tangential component of the electric field at an interface between two perfect dielectrics?

Accepted Answer

E_t1 = E_t2

Answer

The tangential component of the electric field is continuous across a boundary between two dielectrics with no surface charge.

Question 5

What is the skin depth in a good conductor proportional to?

Accepted Answer

1/√(πfμσ)

Answer

Skin depth δ = 1/√(πfμσ), showing that higher frequency, permeability, or conductivity causes fields to penetrate less deeply.

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