Engineering Electromagnetics
9th Edition
ISBN: 9781260029963
Author: Hayt
Publisher: MCG
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Chapter 4, Problem 4.15P
Two uniform lines, 8 nC/m, are located at x=1, z=2 and x=-1, y=2 in free space. If the potential at the origin is 100 V. Find V.
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"I need an expert solution with detailed steps for
integration."
The normalized Far-field pattern of an antenna is given by:
E = √√sine (cosq)
Determine:
1) Beam solid angle
2) Exact Directivity
0≤0≤ 180, while 0≤≤180, and 270 ≤≤ 360
3) HPBW in both azimuth and elevation
"I need an expert solution with detailed steps for
integration."
Find Directivity, the effect aperture and aperture efficiency of the antenna, if it has physical
aperture of 2.4 x 10-2-2 and the radiation intensity can be approximated by:
U(0, 4) = (sesce
0°s0<20°
20°ses600
1.0°≤≤ 360°
Chapter 4 Solutions
Engineering Electromagnetics
Ch. 4 - Given E = Exax + Eyay + Ez3z V/m, where EX, Ey,...Ch. 4 - A positive point charge of magnitude q1 lies at...Ch. 4 - Given E=Epap+Ea+Ez+azV/m, where Ep, E and E2 are...Ch. 4 - An electric field in free space is given by...Ch. 4 - Consider the vector field G = (A/p) aa where A is...Ch. 4 - A electric field in free space is given as...Ch. 4 - Prob. 4.7PCh. 4 - Given E=-xax+yay,(a) find the work involved in...Ch. 4 - An electric field intensity in spherical...Ch. 4 - A sphere of radios a carries a surface density of...
Ch. 4 - At large distances from a dipole antenna (to be...Ch. 4 - Prob. 4.12PCh. 4 - Thee identical point charges of 4 pC each are...Ch. 4 - Given the electric field E=(y+1)ax+(x1)ay+2az find...Ch. 4 - Two uniform lines, 8 nC/m, are located at x=1, z=2...Ch. 4 - A spherically symmetric charge distribution in...Ch. 4 - Uniform surface charge densities of 6 and 2 nC/m2...Ch. 4 - Find the potential at the origin produced by a...Ch. 4 - Volume charge density is given as pv=poer/C/m3,...Ch. 4 - En a certain medium, the electric potential is...Ch. 4 - Prob. 4.21PCh. 4 - A Line charge of infinite length lies along the z...Ch. 4 - Prob. 4.23PCh. 4 - A certain spherically symmetric charge...Ch. 4 - Consider an electric field intensity in free space...Ch. 4 - Let us assume that we have a very thin, square,...Ch. 4 - By performing an appropriate Line integral from...Ch. 4 - Prob. 4.28PCh. 4 - A dipole having a moment P=3ax-5ay+10aznC.m is...Ch. 4 - Prob. 4.30PCh. 4 - A potential field in free space is expressed as...Ch. 4 - Prob. 4.32PCh. 4 - Prob. 4.33PCh. 4 - A sphere of radius a contains volume charge of...Ch. 4 - Four 0.8 nC point charge are located in free space...Ch. 4 - Surface charge of uniform density ps lies on a...
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- Don't use ai to answer I will report you answerarrow_forwardDon't use ai to answer I will report you answerarrow_forward"Can you explain the integration method to show the result?" The radiation intensity of an aperture antenna, mounted on an infinite ground plane with perpendicular to the aperture, is rotationally symmetric (not a function of 4), and it is given by U = π sin Find the approximate directivity (dimensionless and in dB) using (a) numerical integration. Use the DIRECTIVITY computer program at the end of this chapter. U sin ( sin ) sin (a) Directly Do = 14.0707 = 10log (14.0707) = 11.48 dBarrow_forward
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