Engineering Electromagnetics
9th Edition
ISBN: 9781260029963
Author: Hayt
Publisher: MCG
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Chapter 14, Problem 14.30P
To determine
(a)
The maximum directivity of the given antenna.
To determine
(b)
The current amplitude
To determine
(c)
Values of
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Calculate the maximum directivity of an antenna with a radiation
intensity ?=?∙sin?.
2- Find directivity of an isotropic antenna
3- Find directivity of an infinitesimal dipole
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.
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.
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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- 3) What are the applications of log-periodic dipole antenna?arrow_forwardThe normalized radiation intensity of a given antenna is given by(a) U = sin θ sin φ (b) U = sin θ sin2 φ(c) U = sin θ sin3 φ (d) U = sin2 θ sin φ(e) U = sin2 θ sin2 φ (f) U = sin2 θ sin3 φThe intensity exists only in the 0 ≤ θ ≤ π, 0 ≤ φ ≤ π region, and it is zeroelsewhere. Find the(a) exact directivity (dimensionless and in dB).(b) azimuthal and elevation plane half-power beamwidths (in degreearrow_forwardFor a dipole antenna, the radiation resistance is given as 523 ohms. What will be the effective length of the dipole? Express with respect to the wavelength.arrow_forward
- A 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_forwardA 1-m long dipole antenna is driven by a 150 MHz source having a source resistance of 50 ohms and a voltage of 100 V. If the ohmic resistance of the antennas is given by RL = 0.625 ohms, find the:(a) Current going into the antenna (Iant)(b) Power dissipated by the antenna(c) Power radiated by the antenna(d) Radiation efficiency of the antennaarrow_forwardPlease show all steps A parabolic dish antenna has a diameter of 5 meter, operating at 30 GHz frequency.a) What is the effective area Ae of the antenna? b) What is the antenna power gain in ratio and in dBi?arrow_forward
- For a monopole antenna with linearclinear distribution, if the effective length of the monopole is equal to half of wavelength, then estimate the radiation resistance of the monopole.arrow_forwardA halfwave dipole with a total conductor length of 1 m is used as a transmit antenna to radiate electromagnetic energy. At a distance of 500 m from this antenna in the direction of maximum radiation, what is the free space path loss (dB)? Consider the end effect of the dipole.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
- 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, (ii) The radiation power density.arrow_forwardA pyramidal horn antenna with aperture dimensions of 9 ×8 cm and operating at 5 GHz. What will be the directivity of the antenna?arrow_forwardAn antenna array achieves beam steering in a direction of 30° from the normal propagation direction. If the distance between the array elements (the inter-element distance) is 7.5 cm and the phase shift between the EM waves at adjacent elements is pi/2 radians, what is the frequency of the EM waves being transmitted? Assume the attatched value in calculation.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