Fundamentals Of Applied Electromagnetics
7th Edition
ISBN: 9781292082448
Author: Fawwaz T Ulaby Umberto Ravaioli
Publisher: Pearson Education Dorling Kindersley
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Textbook Question
Chapter 9.1, Problem 1E
A 1 m long dipole is excited by a 5 MHz current with an amplitude of 5 A. At a distance of 2 km, what is the power density radiated by the antenna along its broadside direction?
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Chapter 9 Solutions
Fundamentals Of Applied Electromagnetics
Ch. 9.1 - What does it mean to say that most antennas are...Ch. 9.1 - What is the radiated wave like in the far-field...Ch. 9.1 - In a Hertzian dipole, what is the underlying...Ch. 9.1 - Outline the basic steps used to relate the current...Ch. 9.1 - A 1 m long dipole is excited by a 5 MHz current...Ch. 9.2 - Prob. 5CQCh. 9.2 - What is the magnitude of the directivity of an...Ch. 9.2 - An antenna has a conical radiation pattern with a...Ch. 9.2 - Prob. 3ECh. 9.3 - What is the physical length of a half-wave dipole...
Ch. 9.3 - How does the radiation pattern of a half-wave...Ch. 9.3 - How does the radiation efficiency of a...Ch. 9.3 - Prob. 4ECh. 9.3 - Prob. 5ECh. 9.5 - Prob. 6ECh. 9.5 - At 100 MHz, the pattern solid angle of an antenna...Ch. 9.6 - If the operating frequency of the communication...Ch. 9.6 - Prob. 9ECh. 9.6 - Prob. 10ECh. 9.8 - Verify that Eq. (9.86) is a solution of Eq. (9.85)...Ch. 9.8 - Prob. 12ECh. 9.8 - What condition must be satisfied in order to use...Ch. 9.8 - Derive an expression for the array factor of a...Ch. 9.8 - Prob. 15ECh. 9.11 - Prob. 11CQCh. 9.11 - Prob. 12CQCh. 9.11 - Prob. 13CQCh. 9.11 - Prob. 14CQCh. 9.11 - Prob. 15CQCh. 9 - A center-fed Hertzian dipole is excited by a...Ch. 9 - A 50 cm long center-fed dipole directed along the...Ch. 9 - Prob. 3PCh. 9 - Determine the following: (a) The direction of...Ch. 9 - Repeat Problem 9.4 for an antenna with...Ch. 9 - A 2 m long center-fed dipole antenna operates in...Ch. 9 - Repeat Problem 9.6 for a 20 cm long antenna...Ch. 9 - Prob. 9PCh. 9 - An antenna with a radiation efficiency of 90% has...Ch. 9 - Prob. 11PCh. 9 - The normalized radiation intensity of a certain...Ch. 9 - Repeat Problem 9.6 for a 1 m long half-wave dipole...Ch. 9 - Prob. 14PCh. 9 - A 50 cm long dipole is excited by a sinusoidally...Ch. 9 - Prob. 16PCh. 9 - For a dipole antenna of length l = 3/2, (a)...Ch. 9 - Prob. 18PCh. 9 - Prob. 19PCh. 9 - Prob. 20PCh. 9 - A car antenna is a vertical monopole over a...Ch. 9 - Determine the effective area of a half-wave dipole...Ch. 9 - A 3 GHz line-of-sight microwave communication link...Ch. 9 - A half-wave dipole TV broadcast antenna transmits...Ch. 9 - A 150 MHz communication link consists of two...Ch. 9 - Consider the communication system shown in Fig....Ch. 9 - The configuration shown in Fig. P9.27 depicts two...Ch. 9 - Prob. 28PCh. 9 - The configuration shown in Fig. P9.29 depicts a...Ch. 9 - Prob. 30PCh. 9 - Prob. 31PCh. 9 - A uniformly illuminated rectangular aperture...Ch. 9 - An antenna with a circular aperture has a circular...Ch. 9 - Prob. 34PCh. 9 - Prob. 35PCh. 9 - Prob. 36PCh. 9 - Prob. 37PCh. 9 - Prob. 38PCh. 9 - Prob. 39PCh. 9 - Prob. 40PCh. 9 - Find and plot the normalized array factor and...Ch. 9 - Prob. 44PCh. 9 - A three-element linear array of isotropic sources...Ch. 9 - An eight-element linear array with /2 spacing is...Ch. 9 - A linear array arranged along the z axis consists...
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- 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_forwardAn electric field strength of 10 µV/m is to be measured at an observation point θ = π/2, 500 km from a half-wave dipole antenna operating in air at 50 MHz. (a) What is the length of the dipole (b) Calculate the current that must be fed to the antenna (c) Find the average power radiated by the antenna (d) If a transmission line with Z0 = 75 ohm is connected to the antenna, determine the Γ and SWR.arrow_forwardLength of a thin dipole antenna is 1/10th of its wavelength. Find the value of the radiation resistance of the dipole antenna.arrow_forward
- ) Calculate the radiation resistance of a single turn and an 8-turns loop antenna. The loop of radius λ/25 and the medium is free space.arrow_forwardA slab of dielectric material has a relative dielectric constant of 3.8 and contains a uniform electric flux density of 8nC/m^2. If the material is lossless; find: The average number of dipoles per cubic meter (n) if the average dipole moment is p=10^-29Cmarrow_forwardA dipole with charges of ±q, where q = 3.9e-05, and a separation d = 0.0001 has what magnitude field strength along the z (dipole) axis at a distance 1 away?arrow_forward
- A monopole antenna is excited using a sinusoidal current distribution. If the antenna is transmitting at a frequency of 10 GHz and length of the antenna is one-fourth of the wavelength, then what will be the value of the radiation resistance of the monopole antenna?arrow_forwardAn antenna radiates a total power of 100W in the direction of maximum radiation, the field strength at a distance of 10Km was found to be 12mV/m. What is the gain of the antenna? Assume free space propagation. If η=90% find directivity.arrow_forwardA horizontal infinitesimal electric dipole of constant current I0 is placed symmetrically about the origin and directed along the x-axis. Derive the(a) far-zone fields radiated by the dipole(b) directivity of the antennaarrow_forward
- Q. Calculate the radiation resistance of a short dipole (with a triangular current distribution) of length 0.3 m operating at 100 MHz. If the total resistance of the antenna is 2.2 Ω, calculate the maximum effective area and the radiation efficiency of the dipole. Calculate the open circuit voltage induced at the terminals of the dipole if it is oriented along the z - direction and the incident electric field at the dipole is Ei = (ax 4 + ay 3 + az 5) V/m.arrow_forward3. With a operational frequency of 30GHz, what is the effective length of a half-wave dipole?arrow_forwardWhat will be the wavelength of a dipole antenna whose effective length is 8.5 m and radiation resistance is 450 ohms?arrow_forward
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