Engineering Electromagnetics
9th Edition
ISBN: 9780078028151
Author: Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher: Mcgraw-hill Education,
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Textbook Question
Chapter 14, Problem 14.9P
A dipole antenna in free space has a linear current distribution with zero current at each end and with peak current I0 at the center. If the length d is
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3- The half wave dipole is widely used in more applications compared to other linear antenna lengths,
that is because
a) It has high gain
d) it has small size
b) its easy matching to coaxial 75 Ohm cable
c) low loss
2- Directivity is inversely proportional to......
(A) Beamwidth
(B) FNBW
(C) Beam area
(D) HPBW
Z so reflection coefficient is
12
4- What determines antenna polarization?
(A) The direction of the electric field vector
(B) The direction of the radiated wave
(C) The direction of the magnetic field vector (D) The frequency of the radiated wave
5- Antennas convert
-to-
(A) Electrical into electromagnetic
(B) electromagnetic into electrical
(C) Both A and B
(D) None of the these
3. Write down the total electric field E and magnetic field of a dipole antenna
and prove that the near fields do not radiate P
=
-Re(ExH) = 0
R
Chapter 14 Solutions
Engineering Electromagnetics
Ch. 14 - A short dipole-carrying current I0 cos t in the az...Ch. 14 - Prepare a curve, r vs. in polar coordinates,...Ch. 14 - Prob. 14.3PCh. 14 - Write the Hertzian dipole electric field whose...Ch. 14 - Prob. 14.5PCh. 14 - Prob. 14.6PCh. 14 - Prob. 14.7PCh. 14 - Prob. 14.8PCh. 14 - A dipole antenna in free space has a linear...Ch. 14 - Prob. 14.10P
Ch. 14 - A monopole antenna extends vertically over a...Ch. 14 - Find the zeros in for the E-plane pattern of a...Ch. 14 - Prob. 14.13PCh. 14 - For a dipole antenna of overall length 2l=,...Ch. 14 - Prob. 14.15PCh. 14 - Prob. 14.16PCh. 14 - Consider a lossless half-wave dipole in flee...Ch. 14 - Prob. 14.18PCh. 14 - Prob. 14.19PCh. 14 - A two-element dipole array is configured to...Ch. 14 - Prob. 14.21PCh. 14 - Prob. 14.22PCh. 14 - Prob. 14.23PCh. 14 - Prob. 14.24PCh. 14 - Prob. 14.25PCh. 14 - Prob. 14.26PCh. 14 - Consider an n-element broadside linear array....Ch. 14 - A large ground-based transmitter radiates 10 kW...Ch. 14 - Signals are transmitted at a 1-m carrier...Ch. 14 - Prob. 14.30P
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- A half-wave dipole, which has a total length of L = 1.39 cm (i) Analyze the resonant frequency fr. (ii) Determine the new fr when the dipole length is 3L. (iii) Determine the radiation resistance of a quarter-wave monopole that hasa total length of L.arrow_forward6. A. A horizontal infinitesimal electric dipole of constant current lo is placed symmetrically about the origin and directed along the x-axis. Derive the far-zone fields radiated by the dipole. ÜNİVERSİTESİ ÜNİVERSİTESİ B. A horizontal infinitesimal electric dipole of constant current 3lo is placed symmetrically about the origin and directed along the y-axis. Derive the directivity of Bİ ÜNİVERSITESİ KATİP ÇELEBİ ÜNİVERSİTESİ the antenna. KATİP ÇELEBİ ÜNİVERSİTESİarrow_forward3. With a operational frequency of 30GHz, what is the effective length of a half-wave dipole?arrow_forward
- A half-wave dipole, which has a total length of L = 2.00 cm. (i) Analyze the resonant frequency fr. (ii) Determine the new fr when the dipole length is 3L. (iii) Determine the radiation resistance of a quarter-wave monopole that has a total length of L.arrow_forwardCalculate the length in meter of a half-wave dipole for an operating frequency of 20 MHz assuming a velocity factor of 0.95.arrow_forwardFind the radiation efficieney of a six-turn small circular loop at f=300 MHz, the radius of the toop is 0.32, the radius of the wire is 0.00012, and the turns are spaced 0.0003), apart. Assume the wire is copper with a conductivity of 5.7x10 (S/m) and the antenna is radiating into free space. Then discuss how can improve the radiation efficiency further.arrow_forward
- The radiation resistance of a dipole antenna is 359 ohms and the antenna is operating at a wavelength of 0.05 meters. What will be the effective length of this dipole antenna? Whatarrow_forward# 2) A 12-element array of vertical center-fed half-wavelength dipoles is shown below. The dipoles are spaced 2/2 apart except dipoles 4,5 and 8,9 (spaced at 32). If the elements are uniformly fed, write down the expression for the radiation pattern. What is the direction of the main beam? What happens if the distance 3 2 is reduced to λ/2 ? X Z Ø HU WW HU 2/2 + 1 4 31/2 Z Hu 5 8 9 Activate Window Go to Settings to actiarrow_forward23: (a) What does mean by directivity of antenna? Explain For an antenna, derive an expression for effective aperture in term of the gain. An FM broadcast radio station has an antenna with directivity of 2.5 dB and efficiency of 76%. The transmitted power is 100 kW. Calculate the effective isotropic radiated power. c) With aid of equations, explain how the motion of charges and curved or bent wire are the source of radiation in antenna theory.arrow_forward
- A transmitting dipole antenna has an effective height of 61.4 m and the wavelength of radiation is 625 m. What will be the value of the radiation resistance of the antenna?arrow_forwardA 100-turn loop antenna of radius 20 cm operating at 10 MHz in air is to give a 50 mV/m field strength at a distance 3 m from the loop. Determine (a) The current that must be fed to the antenna (b) The average power radiated by the antenna.arrow_forward(b) An antenna with maximum dimension of 50 cm radiates an RF signal with an operating frequency of 1080 MHz. The antenna is connected to a coaxial cable with inductance, L= 0.2 µH/m and capacitance, C = 1.5 nF/m .Its radiation pattern is measured in the far field region. (i) Distinguish between near field and far field region for antenna’s radiation. (ii) Calculate the minimum distance of the far field region. (iii) Determine the dielectric constant of the coaxial cable.arrow_forward
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