Engineering Electromagnetics
9th Edition
ISBN: 9780078028151
Author: Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher: Mcgraw-hill Education,
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Chapter 1, Problem 1.20P
To determine
To prove:
The relation
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Antennas Past papers
Sessional-II.pdf
Quaid-i-Azam University
Sessional-II, Spring 2021
(Antennas (EL-724)
50%
Date: 17-06-2021
NOTE: Due date for submission of Sessional-II is 17-06-2021 at 4:30 pm.
Question 1
Consider a linear wire antenna of finite length and radius a. The radius a of
the antenna is taken to be very small as compared to an operating wavelength
A, i.e., a << A. The electric current density vector J(r) of the antenna is
given by,
J(r) =ė, 16()()()
f(h's) =
sink(1/2 h)]
sin kl/2]
-
where h, and hy are dummy coordinates which form a three perpendicular
coordinate system and 5(-) is a Dirac delta function. The geometry of the
problem is given in Fig. 1. It should be noted that here axial unit vector è,
in spherical coordinates are given below,
=è, sine, coso, +ê, sin 0, sino, + è, cose,
Find the electric and magnetic fields in the near and far zone. Also find the
maximum directivity D-
←
а
Chapter 1 Solutions
Engineering Electromagnetics
Ch. 1 - If A represents a vector two units in length...Ch. 1 - Vector A extends from the origin to (1, 2, 3), and...Ch. 1 - 1.3 The vector from the origin to point A is given...Ch. 1 - A circle, centered at the origin with a radius of...Ch. 1 - An equilateral triangle lies in the xy plane with...Ch. 1 - Find the acute angle between the two vector...Ch. 1 - Given the field F=xax+yay. If F. G =2xy and FĂ— G...Ch. 1 - Prob. 1.8PCh. 1 - A field is given as G=[25/(x2+y2)](xax+yay). Find...Ch. 1 - Prob. 1.10P
Ch. 1 - Given the points M(0.1, -0.2, -0.1), N(-02, 0.1,...Ch. 1 - 1.21 Write an expression recrangu1ar components...Ch. 1 - Prob. 1.13PCh. 1 - Prob. 1.14PCh. 1 - Three vectors extending from the origin are given...Ch. 1 - Prob. 1.16PCh. 1 - Prob. 1.17PCh. 1 - Prob. 1.18PCh. 1 - Prob. 1.19PCh. 1 - Prob. 1.20PCh. 1 - Exercise in cylinder components ;(a) the vector...Ch. 1 - Prob. 1.22PCh. 1 - The surfaces p=3,p=5,=130o,z=3andz=4.5 define a...Ch. 1 - Two unit vectors, a1 and a2, lie in the xy plane...Ch. 1 - Prob. 1.25PCh. 1 - Prob. 1.26PCh. 1 - Prob. 1.27PCh. 1 - Prob. 1.28PCh. 1 - A vector field is expressed as F = Az az where A...Ch. 1 - Consider a problem analogous to the varying wind...
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