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 14, Problem 14.11P
A monopole antenna extends vertically over a perfectly conducting plane and has a linear current distribution. If the length of the antenna is
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An isotropic antenna is radiating evenly in the r–direction in free space. The totalelectric field (E0) is 20 V/m at 1-m distance. Determine the following parameters at adistance of 139 m from the antenna.
(iii)Find The total radiated power.
a)
The electric field associated with an electromagnetic wave
propagating in free space and arriving at a receiving antenna
ve has a magnitude of 0.1 Vm-1 when it arrives at the receiving
280 antenna. The receiving antenna is at a distance of 25 km from
a ½ dipole transmitting antenna with directivity D=1.64. The
transmitting antenna has an efficiency of 95% and a radiation
resistance of 73 Q. The receiving antenna is in the plane of the
azimuth of the transmitting antenna.
(i) Calculate the average power density at the receiving
antenna.
(ii) Calculate the power radiated from the transmitting
antenna.
outl
(iii) Calculate the effective area, the gain and the loss
resistance of the transmitting antenna.
(iv) Calculate the power that must be delivered to the
transmitting antenna to achieve the observed power
density at the receiving antenna.
m
2. Given a current I(t) = I
charge as a function of time
of the charge is Qm.
sin(at + ) on a Hertzian dipole antenna, what is the
Q(t) on the antenna? Assume the maximum amplitude
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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- # 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_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_forwardTwo half-wave dipoles are arranged as shown in the figure below, with antenna 1 transmitting 300W at 300MHz. The current maximum in antenna 1 is known to be 2.87 A. Find the open-circuit voltage induced at the terminals of the receiving antenna, which is antenna 2. Hint: Consider the vector effective length concept. Notice that the antennas are 100m apart from each other. Take the impedance of free space to be 120m 2, and the speed of waves to be 3x108 m/s. Select one: O 0.2 V O O 0.5 V 1.0 V 1.2 V 2₁₁ 0₂ = 90° 60° r = 100 marrow_forward
- Example: A 2/2 dipole radiates a time-averaged power of 600 W at a frequency of 300 MHz. A second 2/2 dipole is placed at a point P(r, 0, 0), where r = 200 m, 0 = 40, p=40°. It is oriented so that its axis is parallel to that of the transmitting antenna. What is the available power at the terminals of the second (receiving) dipole?arrow_forward3. 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 Rarrow_forwardQ: A half-wave dipole is radiating into free space. Input power to the dipole is 100 W. Assuming an overall efficiency of 50%. find the power density (in W/m2) at r = 500 m, 0 = 60,0 = 0°.arrow_forward
- A thin dipole antenna having a length of one fifteenth of wavelength has a loss resistance of 2.5 ohm. What will be the antenna efficiency?arrow_forwardExample: A 2/2 dipole radiates a time-averaged power of 600 W at a frequency of 300 MHz. A second NOVEV 1/2 dipole is placed at a point P (r, 0, 0), where r = 200 m, so that its axis is parallel to that of the transmitting antenna. What is the available power at the terminals of the second (receiving) dipole? when. p=40°. It is oriented → 8=4°arrow_forward2. The E-field pattern of an antenna, independent of ø, varies as follows: 0°arrow_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_forwardThe figure below shows a radio-wave transmitter and a receiver separated by a distance d = 47.0 m and both a distance h = 27.0 m above the ground. The receiver can receive signals both directly from the transmitter and indirectly from signals that reflect from the ground. Assume the ground is level between the transmitter and receiver and a 180° phase shift occurs upon reflection. Determine the longest wavelengths that interfere in the following ways. O Transmitter Receiver (a) constructively (b) destructivelyarrow_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_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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How does an Antenna work? | ICT #4; Author: Lesics;https://www.youtube.com/watch?v=ZaXm6wau-jc;License: Standard Youtube License