Engineering Electromagnetics
9th Edition
ISBN: 9781260029963
Author: Hayt
Publisher: MCG
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Chapter 4, Problem 4.35P
Four 0.8 nC point charge are located in free space at the corners of a square 4 cm on side. (a) Find the total potential energy stored. (b) A fifth 0.8 nC charge is installed at the center of the square. Again find the total stored energy.
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Consider an RC circuit with a 5 ohm resistor, a 0.05 faraday capacitor, and a constant 60 V battery. If the initial charge on the capacitor is zero, i.e. q(0) = 0 determines the charge on the capacitor at any time q(t).Strictly not using chatgpt or AI need proper explaination by hand
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Antennas Past papers
Sessional-II.pdf
Quaid-i-Azam University
Sessional-II, Spring 2021
(Antennas (EL-724)
50%
Date: 17-06-2021
NOTE: Due date for submission of Sessional-II is 17-06-2021 at 4:30 pm.
Question 1
Consider a linear wire antenna of finite length and radius a. The radius a of
the antenna is taken to be very small as compared to an operating wavelength
A, i.e., a << A. The electric current density vector J(r) of the antenna is
given by,
J(r) =ė, 16()()()
f(h's) =
sink(1/2 h)]
sin kl/2]
-
where h, and hy are dummy coordinates which form a three perpendicular
coordinate system and 5(-) is a Dirac delta function. The geometry of the
problem is given in Fig. 1. It should be noted that here axial unit vector è,
in spherical coordinates are given below,
=è, sine, coso, +ê, sin 0, sino, + è, cose,
Find the electric and magnetic fields in the near and far zone. Also find the
maximum directivity D-
←
а
Make a circuit in tinkerkat from the following: Truth table analysisA) Unsimplified function:From the truth table A, we can derive the unsimplified equationBoolean expression:F = (A'B'C'F') + (A'B'CF) + (A'BC'F') + (A'BCF) + (AB'C'F') + (AB'CF) + (ABC'F) + (ABCF)B) Non-simplified function:From truth table B, we can derive the unsimplified equationBoolean expression:F = (A'B'C'F') + (A'BC'F) + (A'BCF') + (AB'CF') + (ABC'F')Karnaugh MapsTO)\|00|01|11|10|--|------|------|------|------|00|1 |0|0|1|01|0|1|1|0|11|0|1|0|1|0|10|1|0|1|0|B)\|00|01|11|10|--|------|------|------|------|00|1|0|0|0|01|0|1|1|0|11|0|1|0|0|10|0|0|0|0|Simplified functions (using Karnaugh maps)TO)•Adjacent 1s are grouped together on the Karnaugh map.• The simplified function is: F = A’F + BF + CFB)• Adjacent 1s are grouped together on the Karnaugh map.• The simplified function is: F = A'C'F + BCF
Schematic design (simplified functions)TO)•NO door for A•AND gate for A' and F•AND gates for B and F, and C and F•OR gate for…
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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