Engineering Electromagnetics
9th Edition
ISBN: 9780078028151
Author: Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher: Mcgraw-hill Education,
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Textbook Question
Chapter 4, Problem 4.3P
Given
where Ep, Eθ and E2 are constants: (a) find the incremental work done in moving charge q through distance d in a direction having equal p and ∅ components, (b) If the initial charge in part a was at radius p = b, what change in angle ∅ occurred in moving the charge?
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Q 4.
Three equal charges are placed at the vertices of an equilateral triangle of side L.
What is the magnitude and direction of the Coulomb force on the charge q at the point A?
(q=10µC and a=4).
B
C
A cylinder with radius r = 0.75m and length l = 0.6m that has an infinite line of positive charge running along its axis. The charge per unit length in the line is 7µc/m.
i. What is the electric field intensity at radius r = 0.32m and l =0.6m?
ii. What is the flux through the cylinder if its length increased to l
=0.8m?
iii. What is the electric field intensity at radius r= 0.32 and l=0.8m?
iv. Briefly explain the effect of an increase or decrease of radius andlength on the electric field intensity.
In the figure particles 2 and 4, of charge -e, are fixed in place on a y axis, at y₂ = -8.38 cm and y4 = 4.19 cm. Particles 1 and 3, of charge -
e, can be moved along the x axis. Particle 5, of charge +e, is fixed at the origin. Initially particle 1 is at x₁ = -8.38 cm and particle 3 is at
x3 = 8.38 cm. (a) To what x value must particle 1 be moved to rotate the direction of the net electric force Fnet on particle 5 by 30°
(b) With particle 1 fixed at its new position, to what x value must you move particle 3 to rotate back to its original
counterclockwise?
direction?
(a) Number i
(b) Number i
Units
Units
10
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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