01․ In a dielectric material an applied field in x direction Ex = 5 v/m gives a polarization of px = 3/10π ux nc/m2. The susceptibility of the material is
P = εo (εr – 1) E.
Susceptibility = εr – 1 = P/(εo. E).
02․ A pure inductor is connected across a voltage source. Find the active power drawn by the inductor?
Active power P = VI cosφ
Where
V = voltage cross inductor
I = current through inductor
φ = phase angle between voltage and current
When a pure inductor is connected across a voltage source, current lags the voltage by exactly 90°.
Therefore, P =VI cos 90
P = 0
03․ In free space E (z, t) = 103 sin(ωt - βz) uy v/m. What is the value of H (z, t)
Direction of wave propagation (+z). So E × H must be (+z) direction.
Therefore E × H must be – ux
Now Ey /Hx = ηo = 377 (As free space)
Hx = 103/377 (A/m).
04․ In a lossless medium the intrinsic impedance η = 60π and μr = 1. The relative dielectric constant εr shall be
For free space ηo; {√(μ/ε) = 120π for any lossless medium with μr= 1}
So, εr = 4.

05․ A plane wave magnetic field is represented by Bx = cos(y – ct). The electric and magnetic fields will be zero in the direction
Wave propagating in (+ y) direction. H in (+ x) direction Then E will be in (+ z) direction.
So, Ex = Ey = 0 and By = Bz = 0.
06․ What is the value of skin depth as 100 Hz in a material having μr = 1.0 and & σ = 3.60 × 107 s/m
µ0 = 4π × 10-7
Skin depth of a material is given as,

07․ The frequency of the power wave associated with an electromagnetic wave having field as E = e-z/δ cos(ω - zδ) is given by
Here E = e - zδ cos(ω t – z/δ)
Where, ω is frequency in radian of E. It is same the radian frequency of the associated H wave. The frequency of power wave is double the corresponding frequency of E or H wave. Thus the radian frequency of 2ω and cyclic frequency = 2ω/2π = ω / π.
08․ Skin depth is proportional to
Skin depth is given as
Where, σ = conductivity in mho/m

09․ A plane wave in a homogeneous medium has E = 50 sin(108t + 2z) uy V/m. What is the direction of wave propagation
A wave E = 50 sin(108 t – 2z) uy has vector component of E in y direction and it travels in z direction. The given wave with +2z shall move in the negative z direction. But here it will move in the negative direction.
10․ If n is the polarization vector and k is the direction of propagation plane electromagnetic wave, then
The polarization vector and direction of travel are perpendicular to each other. So, dot product of these two vectors will be zero.
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