01․ In a dielectric material an applied field in x direction E

_{x}= 5 v/m gives a polarization of p_{x}= 3/10π u_{x}nc/m^{2}. The susceptibility of the material isP = ε

_{o}(ε_{r – 1}) E. Susceptibility = ε_{r – 1}= P/(ε_{o}. 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) = 10^{3}sin(ωt - βz) u_{y}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 – u_{x}Now E_{y}/H_{x}= η_{o}= 377 (As free space) H_{x}= 10^{3}/377 (A/m).04․ In a lossless medium the intrinsic impedance η = 60π and μ

_{r}= 1. The relative dielectric constant ε_{r}shall beFor free space η

_{o}; {√(μ/ε) = 120π for any lossless medium with μ_{r}= 1} So, ε_{r}= 4.05․ A plane wave magnetic field is represented by B

_{x}= cos(y – ct). The electric and magnetic fields will be zero in the directionWave propagating in (+ y) direction.

**H**in (+ x) direction Then**E**will be in (+ z) direction. So, E_{x}= E_{y}= 0 and B_{y}= B_{z}= 0.06․ What is the value of skin depth as 100 Hz in a material having μ

_{r}= 1.0 and & σ = 3.60 × 10^{7}s/mµ

_{0}= 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 byHere 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(10

^{8}t + 2z) u_{y}V/m. What is the direction of wave propagationA wave E = 50 sin(10

^{8}t – 2z) u_{y}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, thenThe 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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