SURAT-395007, GUJARAT, INDIA
DEPARTMENT OF ELECTRICAL ENGINEERING
Subject: Electromagnetic Field Theory (EE208)
B.tech II year IV sem (EE)
Tutorial: 5 (Part B)
Date:17/04/23
1. The magnetic field component of a plane wave in a lossless dielectric is
𝐇 = 30 sin(2𝜋 × 10 𝑡 − 5𝑥) 𝑎
mA/m
a) If 𝜇 = 1, Find 𝜀 .
b) Calculate the wavelength and wave velocity.
c) Determine the wave impedance.
d) Determine the polarization of the wave.
e) Find the corresponding electric field component.
f) Find the displacement current density.
2. In a certain medium,
𝐄 = 10 cos(2𝜋 × 10 𝑡 − 𝛽𝑥) 𝑎 + 𝑎
V/m
If 𝜇 = 50𝜇 , 𝜀 = 2𝜀 and 𝜎 = 0. Find 𝛽 and 𝐇.
3.
Calculate the skin depth and the velocity of propagation for a uniform plane wave at
frequency 6 MHz traveling in polyvinylchloride (𝜇 = 1, 𝜀 = 4, tan 𝜃 = 7 × 10
4.
A 40-m-long aluminum (𝜇 = 1, 𝜀 = 1, 𝜎 = 3.5 × 10
).
S/m) pipe with inner and outer
radii 9 mm and 12 mm carries a total current of 6 sin 10 𝜋𝑡 A. Find the skin depth and the
effective resistance of the pipe.
5.
In a transmission line filled with a lossless dielectric (𝜇 = 𝜇 , 𝜀 = 4.5𝜀 ),
𝐄=
40
sin(𝜔𝑡 − 2𝑧) 𝑎
𝜌
Find: (a) 𝜔 and 𝐇, (b) the Poynting vector
V/m
SVNIT
SARDAR VALLABHBHAI NATIONAL INSTITUTE OF TECHNOLOGY
6. (a) Determine the dc resistance of a round copper wire (𝜇 = 1, 𝜀 = 1, 𝜎 = 5.8 × 10 S/m)
of radius 1.2 mm and length 600 m.
(b) Find ac resistance at 100 MHz.
(c) Calculate the approximate frequency where dc and ac resistances are equal.