Engineering Electromagnetics
9th Edition
ISBN: 9781260029963
Author: Hayt
Publisher: MCG
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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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A 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 antenna
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A 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^-29Cm
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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- An 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_forwardAn 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, (ii) The radiation power density.arrow_forwardThe radial component of the radiated power density of an infinitesimal linear dipole of length is given by Wav=ar Wr =arAmsin2(theta)/r2 W/m2 Where Am = Peak value of power density; theta = usual spherical co-ordinate and ar = radial unit vector. Calculate the directivity of the antenna.arrow_forward
- 5) Calculate the radiation resistance of λ/2, λ/4, λ/8 dipole in 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: (a)E; (b)P; (c)The average number of dipoles per cubic meter (n) if the average dipole moment is p=10^-29Cmarrow_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_forward
- Calculate the radiation resistance of a lambda/10 wire dipole in free space.arrow_forwardFor an Omni-directional antenna, the measurements show the Half Power Beam Width (HPBW) in vertical and horizontal planes are 30 degree and 20 degree respectively. If this antenna has a loss resistance of 25ohm and efficiency n=0.8, calculate:i. Antenna’s gain in dB;ii. Radiation resistanceiii. How the efficiency of this antenna can be improved? Support your answer with applicable equations and results.arrow_forwardA 0.48520λ0 dipole antenna is made to work at 4 GHz. The antenna is then connected to a 12 V voltage source which has an internal resistance of 25 Ω) a) Make a diagram of the above system, b) Is an impedance matching circuit needed? If yes, where should the impedance circuit be inserted and make a diagram of the system with the adjusting circuit, c) How many cm is the length of the dipole antenna above, Solve Subparts A,B,C in 25 minutes ASAParrow_forward
- A short vertical dipole antenna is designed to radiate at a wavelength of 30 meters. Calculate it's radiation resistance if the effective length of the antenna is 60 metersarrow_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_forwardFind out the radiation resistane of a dipole antenna having length equal to 1/8th of the wavelength in free space.arrow_forward
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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