Fundamentals of Applied Electromagnetics (7th Edition)
7th Edition
ISBN: 9780133356984
Author: ULABY
Publisher: PEARSON
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Chapter 6, Problem 11P
The loop shown in P6.11 moves away from a wire carrying a current I1 = 10 A at a constant velocity
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I need a detailed solution to a
problem.
The far-zone electric field intensity (array factor) of an end-fire two-element array
antenna, placed along the z-axis and radiating into free-space, is given by
E=cos (cos - 1)
Find the directivity using
(a) Kraus' approximate formula
(b) the DIRECTIVITY computer program at the end of this chapter
Repeat Problem 2.19 when
E = cos
-jkr
0505π
$[
(cos + 1)
(a). Elmax = Cost (case-1)] | max"
= 1 at 8-0°.
0.707 Emax = 0.707.(1) = cos [(cose,-1)]
(cose-1) =
± 0,= {Cos' (2)
= does not exist
(105(0)=
90° = rad.
Bir
Do≈ 4T
ar=2() =
=
Bar
4-1-273 = 1.049 dB
T₂
a. Elmax = cos((cose +1)),
0.707 = cos (Close,+1))
= 1
at 6 = π
Imax
(Cose+1)=== G₁ = cos(-2) does not exist.
Girar=2()=π.
4T
\cos (0) + 90° + rad
Do≈ = +=1.273=1.049dB
IT 2
I need an expert mathematical solution.
The E-field pattern of an antenna. independent of , varies as follows:
0° ≤ 0≤ 45°
E = 0
45°
{1
90°
90° < 0 ≤ 180°
(a) What is the directivity of this antenna?
(b) What is the radiation resistance of the antenna at 200 m from it if the field is equal
to 10 V/m (rms) for Ø
=
0° at that distance and the terminal current is 5 A (rms)?
I need an expert mathematical solution.
The normalized far-zone field pattern of an antenna is given by
E =
{®
(sin
cos)/
0
Find the directivity using
0 ≤ 0 ≤ π and 0≤ 0≤ π/2.
3m2sds2,
elsewhere
Chapter 6 Solutions
Fundamentals of Applied Electromagnetics (7th Edition)
Ch. 6.2 - Explain Faradays law and the function of Lenzs...Ch. 6.2 - Prob. 2CQCh. 6.2 - Prob. 3CQCh. 6.2 - For the loop shown in Fig. 6-3, what is Vemftr if...Ch. 6.2 - Suppose that the loop of Example 6-1 is replaced...Ch. 6.4 - Suppose that no friction is involved in sliding...Ch. 6.4 - Is the current flowing in the rod of Fig. 6-10 a...Ch. 6.4 - For the moving loop of Fig. 6-9, find I when the...Ch. 6.4 - Suppose that we turn the loop of Fig. 6-9 so that...Ch. 6.5 - Contrast the operation of an ac motor with that of...
Ch. 6.5 - Prob. 7CQCh. 6.5 - Prob. 8CQCh. 6.7 - A poor conductor is characterized by a...Ch. 6.8 - When conduction current flows through a material,...Ch. 6.8 - Verify that the integral form of Ampres law given...Ch. 6.10 - Explain how the charge continuity equation leads...Ch. 6.10 - How long is the relaxation time constant for...Ch. 6.10 - Determine (a) the relaxation time constant and (b)...Ch. 6.11 - Prob. 7ECh. 6 - The switch in the bottom loop of Fig. P6.1 is...Ch. 6 - The loop in Fig. P6.2 is in the xy plane and B =...Ch. 6 - A coil consists of 100 turns of wire wrapped...Ch. 6 - A stationary conducting loop with an internal...Ch. 6 - A circular-loop TV antenna with 0.02 m2 area is in...Ch. 6 - The square loop shown in Fig. P6.6 is coplanar...Ch. 6 - The rectangular conducting loop shown in Fig. P6.7...Ch. 6 - Prob. 8PCh. 6 - Prob. 9PCh. 6 - A 50 cm long metal rod rotates about the z axis at...Ch. 6 - The loop shown in P6.11 moves away from a wire...Ch. 6 - The electromagnetic generator shown in Fig. 6-12...Ch. 6 - The circular, conducting, disk shown in Fig. P6.13...Ch. 6 - The plates of a parallel-plate capacitor have...Ch. 6 - A coaxial capacitor of length l = 6 cm uses an...Ch. 6 - The parallel-plate capacitor shown in Fig. P6.16...Ch. 6 - In wet soil, characterized by = 102 (S/m), r = 1,...Ch. 6 - An electromagnetic wave propagating in seawater...Ch. 6 - At t = 0, charge density v0 was introduced into...Ch. 6 - If the current density in a conducting medium is...Ch. 6 - Prob. 21PCh. 6 - If we were to characterize how good a material is...Ch. 6 - The electric field of an electromagnetic wave...Ch. 6 - The magnetic field in a dielectric material with ...Ch. 6 - Given an electric field E=xE0sinaycos(tkz), where...Ch. 6 - The electric field radiated by a short dipole...Ch. 6 - A Hertzian dipole is a short conducting wire...Ch. 6 - In free space, the magnetic field is given by...Ch. 6 - The magnetic field in a given dielectric medium is...
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