EE 434 Electromagnetic Waves, Spring 2014
Homework #4 solution
6.9. A uniform plane wave having the electric eld given by
E i = 25 (0.866 0.5) ej (5x+8.66z)
x
z
is incident on a dielectric interface between a medium of dielectric constant
1 = 40 and anoth
EE 434 Electromagnetic Waves, Spring 2010
Exam 4 May 11, 2010
Solution
Reection and transmission
1. Three adjacent dielectric regions have impedances 1 = 100 , 2 = 150 ,
and 3 = 50 . Regions 1 and 3 extend to innity, and region 2, between
the other two, h
EE 434 Electromagnetic Waves, Spring 2010
Exam 3 May 3, 2010
Solutions
1. Using H , compute the distance from a innitesimal antenna at which the
near eld and far eld are equal in magntiude. Assuming this is approximately correct for an antenna of length /
EE 434 Electromagnetic Waves, Spring 2010
Exam 2 April 5, 2010
Solution
Rules: This is a closed-book test. You may use your calculator, the attached formula sheet,
and blank note paper. The exam will last 50 minutes. Each problem counts equally toward
you
EE 434 Electromagnetic Waves, Spring 2014
Exam 1
Solution
Monday February 10, 2013
This is a closed-book exam. You may use only your brain, a calculator and
pen/paper. Each numbered question counts equally toward your grade. You
MUST box the answer (and o
EE 434 Electromagnetic Waves, Spring 2014
Homework #1 solution
5.1. A uniform plane wave traveling in free space is normally incident on the
surface of a perfect conductor. If the total electric eld is zero at a distance of
1 m away from the surface of th
EE 434 Electromagnetic Waves, Spring 2014
Homework #2 solution
5.6. A uniform plane wave propagatin in medium 1 (z < 0) is normally incident
on medium 2 (z > 0). Medium 1 has the electrical characteristics, r1 = 8,
r1 = 2, 1 = 0, whereas medium 2 has r2 =
EE 434 Electromagnetic Waves, Spring 2014
Homework #7 solution
8.8. An air-lled rectangular waveguide is operating in the TM21 mode at a
frequency f that is 27 percent above the cuto frequency. The wave-guide dimensions are a = 11.5 cm and b = 6 cm.
(a) C
EE 434 Electromagnetic Waves, Spring 2014
Homework #6 solution
8.7. The x-component of the magnetic eld intensity associated with a TM mode
is given by
Hx = 7 sin
3
a
x cos
y
sin (t z )
b
(a) Determine the operating wave-guide mode.
(b) If a = 2.3 cm and
EE 434 Electromagnetic Waves, Spring 2014
Homework #5 solution
6.20. A straight-light pipe with refractive index n1 has a dielectric coating with
index n2 added for protection. The ligth pipe is usually in free space, so that n3
is typically unity as show
EE 434 Electromagnetic Waves, Spring 2014
Homework #3 solution
5.10. A 10-GHz uniform plane wave is propagating in the positive z-direction
and is incident from free space to a berglass (r = 4.9, 0 , = 0) radome as
shown in Figure P5.10.
(a) Determine the
EE 434 Electromagnetic Waves, Spring 2010
Exam 1 March 1, 2010
solution
Rules: This is a open book test. You may use the textbook as well as your notes. The exam
will last 50 minutes. Each problem counts equally toward your grade.
1. A dielectric slab wit