Engineering Electromagnetics (EE 212) 2025-26
Assignment – 1
[F.M: 2×10=20]
1. The electric field of a plane wave propagating in a nonmagnetic material is given by
E yˆ 3sin 107 t 0.2 x zˆ 4 cos 10 7 t 0.2 x (V/m). Determine (a) the wavelength. (b) εr,
(c) H .
2. As shown in Fig. 1, two homogeneous, linear, isotropic magnetic materials have an interface
at x = 0. At the interface, there is a surface current with a density J s 20 aˆ y A/m. In the region#1
(x < 0), the relative permeability r1 2 and the magnetic field intensity is H1 15aˆ x 10aˆ y 25aˆ z
A/m. In region#2 (x > 0), the relative permeability is r 2 5 . Find the magnetic field intensity
in the region #2 (x > 0).
Z
Js
r1
H1
Y
X
Fig. 1
r2
H2
X=0
3. A load consists of a shunt connection of a capacitor of 10 pF and a resistor of 60 Ω. The load
terminates a lossless 50 Ω transmission line. The operating frequency is 5 GHz. (a) What is the
impedance of the load? (b) What is the reflection coefficient at the load? (c) What is the
VSWR? (c) Find the reflection coefficient at a distance 10 mm from the load, (d) Find the input
impedance (Zin) at a distance 10 mm from the load. (e) Find the distances of the first voltage
maximum from the load.
4. MATLAB problem: A 100-MHz FM broadcast station uses a 300-Ω transmission line
between the transmitter and a tower-mounted half-wave dipole antenna. The antenna
impedance is 73+j42 Ω. Use λg/4 matching technique for complex load impedance (Fig. 2) to
transfer maximum power to the antenna. Note that λg/4 section cannot be imaginary and you
can use only lossless transmission line sections for the matching. Plot the Zin2 Vs βd and Zin1
Vs βd (where β is phase constant and d is length). Find out the values of dq and ZT. Provide the
MATLAB code, plots and outputs from the code in your pdf file for submission.
Fig. 2
0
