Kingdom of Saudi Arabia
Ministry of Higher Education
Majmaah University
College of Engineering
Department: Electrical Engineering
Exam Information
Final Exam
Course code:
EE 435
Course Title: Wave Propagation and
Antennas
Instructor:
Dr Yazeed Qasaymeh
Section number:
Exam date:
30 December 2014
Exam time:
From:
1:00 am
To:
4:00 pm
Exam hall:
2D59
Number of pages: Eight
Total score:
40 points
Student’s Information
Name:
ID:
Exam Instructions:
 Read the questions carefully and several times. Writing clearly will make
it possible to assess your answers correctly.
 Any form of cheating, intention to cheating, or disruption of the exam will
subject you to a disciplinary action as specified by the university’s
regulations.
 Carrying or using the mobile phone during the exam is not allowed. Using
the phone during the exam will carry a disciplinary action.
 The calculator is only permitted by the exam supervisor.
 No student can leave the exam room during the first half hour of the
exam. Any student coming after the first half hour of the exam will not be
permitted to enter the exam.
 A student leaving the exam, even for legitimate reasons, may not be given
a makeup exam.
Points Earned:
Question
1
2
3
4
5
6
Score
Total score in the exam:
Dear student, we encourage you to answer the exam the best you can and we
wish you all success.
Q1) a) find the maximum directivity of the antenna whose radiation intensity is
that
W rad
sin 2 ( )
W r .ar  Ao
.ar
r2
(4PTS)
b) Write an expression of the directivity as function of the directional angle 
and 
(4PTS)
Q2) Two lossless X-band (8.2-12.4GHz) horn antenna are separated by a distance
of 100  . The reflection coefficient at the terminals of the transmitting and
receiving antennas are 0.1 and 0.2, respectively. The maximum directivities of
the transmitting and receiving antennas (over isotropic) are 16dB and 20dB,
respectively. Assuming that the input power in the lossless transmission line
connected to the transmitting antenna is 2W, and the antennas are aligned for
maximum radiation between them and are polarization matched. Find the power
delivered to the load of the receiver (6PTS)
Q3) Determine the magnetic vector potential for short dipole
  / 50  l   /10 (a  ) as shown in figure which current distribution is given
by
[6pts]
Q4) Determine the radiated electric field of E-plane horn antenna where the electric
field Ey shown in figure is given by
E y  E0 cos
x
a
e  j z
[6pts]
Q5) consider a broadside array ( α = 0o) of seven short vertical dipoles spaced
0.5 λ apart along the z- axis as shown in figure. The normalized element field
pattern for the infinitesimal dipole is given by
a) Calculate the array factor
b) The overall normalized array pattern
[4pts]
[4pts]
Q6) Design a broadside Dolph-Tshebyscheff array of 10 elements with spacing d
between the elements and with a major-to-minor lobe ratio of 26dB. Find the
excitation coefficient and form the array factor. [6pts]