ECGR 3122
Homework set # 1
Due: Tuesday, 19 Jan 2014.
Do the following problems:
1. What value of A and are required if the two fields below satisfy
Maxwells equations in a simple medium with r = r = 4, = 0, and
J =0
E = 120 cos(106 t x)
ay
(1)
az
H = A c

ECGR 3122
Homework set # 10
Due: Tuesday, 19 April 2016.
Do the following problems:
1. A standard X-band rectangular waveguide with dimensions a = 0.9 in and b = 0.4
in is filled with lossless polystyrene (r = 2.56). For the lowest-order mode of the
waveg

ECGR 3122
Homework set # 2
Due: Tuesday, 26 Jan 2016.
Do the following problems:
1. A wave propagates in free space and its electric field is
x
E = 100ej220z + 100e+j220z a
(a) Show that E satisfies the source free wave equation. Make sure
you satisfy the

ECGR 3122
Homework set # 9
Due: Tuesday, 12 April 2016.
Do the following problems:
1. Consider an arbitrary cross-sectioned hollow conductor oriented along the y-axis.
(a) Assuming propagation in the +ydirection, write the six scalar forms of Maxwells
cur

ECGR 3122
Homework set # 5
Due: Thursday, 25 Feb 2016.
Do the following problems:
1. (20 points) Derive the Telegraphers equations from the and T equivalentcircuits shown below:
2. (10 points) Express the phase velocity on a lossless line in terms of per

ECGR 3122
Homework set # 3
Due: Tuesday, 2 Feb 2016.
Do the following problems:
1. Calculate the intrinsic impedance of aluminum ( = 3.816 107 S/m,
= ) and nickel ( = 1.449 107 S/m) at 200 Hz and at 25 GHz.
Note that the relative permittivity of both mat

ECGR 3122
Homework set # 5
Due: Thursday, 3 March 2016.
Do the following problems:
1. A load impedance of ZL = 100 at f = 2.4 GHz is to be connected to
a stripline transmission line with Z = 50 constructed of FR-4 (r =
4.5) with thickness b = 3.2mm. Desig

ECGR 3122
Homework set # 11
Due: Tuesday, 26 April 2016.
Do the following problems:
1. It is desired for a 20 GHz signal to propagate in a dielectric slab waveguide of thickness
d = 76mm, d = 4.5 , d = surrounded by free space. How many even and odd
TM mo

ECGR 3122
Homework set # 8
Due: Thursday, 24 March 2016.
Do the following problems:
1. Find the length of `1 and `2 in the following microwave circuit so that the input
impedance is approximately equal to 50:
Assume d1 = 0.28, d2 = 0.15, and `3 = 0.21.
2.

ECGR 3122
Homework set # 7
Due: Thursday, 17 March 2016.
Do the following problems:
1. Use a separate impedance Smith chart to find L , SWR, RL, and Zin
for each of the following circuits:
(a) ZL1 = 45 j50, Z = 50 and ` = 0.12
(b) ZL2 = 60 + j45, Z = 75 a

ECGR 3122
Homework set # 4
Due: Thursday, 11 Feb 2016.
Do the following problems:
1. A uniform sinusoidal plane wave in free-space with the following incident electric field
Ei = a
y 10ej(6x+8z)
is incident on a perfectly conducting plane at z = 0.
(a) Fi

ECGR 3122
Homework set # 8
Due: Thursday, 24 March 2016.
Do the following problems:
1. Find the length of `1 and `2 in the following microwave circuit so that
the input impedance is approximately equal to 50:
Assume d1 = 0.28, d2 = 0.15, and `3 = 0.21.
An

ECGR 3122 Practice #2
(a)
(B)
ECGR 3122 Practice #2
(a)
(b)
(c)
ECGR 3122 Practice #2
ECGR 3122 Practice #2
(a)
(b)
The wave is travelling in free space therefore the math
should yield a value equivalent to the speed of light.
ECGR 3122 Practice #2
(a)
(b

Practice TEST 1
1. Hw1 #6-In a simple source-free medium the magnetic Hertz vector potential m
may be define such that:
E= -j X m
a) Define an appropriate scalar potential Vm and express H as a function of
both Vm and m
b) Use your self from a) above with

Practice TEST 3
1. Derive the TM field equations for a parallel plate waveguide. To do this, assume the
guide has a rectangular cross-section with PEC boundaries on the top and bottom
surfaces, and PMC boundaries on the left and right surfaces. Recall tha

Nathan Ida
Engineering
Electromagnetics
Third Edition
Engineering Electromagnetics
Nathan Ida
Engineering Electromagnetics
Third Edition
Nathan Ida
Department of Electrical Engineering
University of Akron
Akron, OH, USA
Additional material to this book ca