Engineering Electromagnetics
9th Edition
ISBN: 9780078028151
Author: Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher: Mcgraw-hill Education,
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Chapter 4, Problem 4.13P
Thee identical point charges of 4 pC each are located at the corners of an equilateral triangle 0.5 mm on a side n free space How much work must be done o move one charge so a noun equidistant from the other two and on the 1ine Joining them?
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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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- Find H at the center C of an equilateral triangular loop of side 4 m carrying 5 A of current as in Figure 1 60⁰ 0 5 A 60° Figure 1:arrow_forward1. What is the electrostatic force of attraction between a -5 x 10°C charge and a 3 x 106C charge if they are separated by a distance of 3 meters (m)? 2i bo vorn asvo di no sg sthatdorW.neio dose of 1eaob ou bor _N. The force of attraction between the given charges is approximatelyarrow_forwardThree charges Q=7.0 μC, Q1 = 2.0 μC and Q2 = -4.0 μC are arranged around the corners of and equilateral triangle as shown. Each side of the triangle is a = 0.5 m. What is the net force of the charge Q (at the top)? A a 21 a 22arrow_forward
- Problem 4 second positive point charge q2 = 5 [nc] is on the x-axis at x₂ = 3 [m]. -2 a. dl = b. Point A is on the x-axis at XA = 4 [m]. |E₁A| = | 1A C. E₁A= 1A d d2 = e. 91 f. E₂A= 0 m A positive point charge q₁ = 3 [nC] is on the x-axis at x₁ = -1 [m] and a + Find the distance between q₁ and Point A. |E2A| = [N/C] 2 Find the magnitude of E₁A [N/C] Calculate E₁4 the electric field created by the charge q₁ at Point A. 1A [N/C] Find the distance between 92 and Point A. Find the magnitude of E2A + 92 + Calculate E24 the electric field created by the charge q2 at Point A. 2A [N/C] x, m g Consider a point located 6 m from the origin, what will be the direction of the net electric field created by the charges at this point? O+x O-x O+y O-yarrow_forwardA Moving to another question will save this response. Quèstion 6 Charges +Q and +2Q are separated by a distance 1m. What will be the distance of point P form +Q charge such that the net electric field intensity at P is zero. 0.515 0.313 0.414 0.616 A Moving to another question will save this response.arrow_forwardTwo long straight wires are oriented parallel to each other with a small separation. The two wires experience a repulsive force between them. You examine one of the wires and find it has an electric current running through it. What must be true of the other wire? O It has zero electric current O It has a net positive charge O It has an electric current in the same direction as the first wire O It has an electric current in the opposite direction to the first wirearrow_forward
- Three point charges are located at the corners of an equilateral triangle as shown in the figure. b. Find the net force on the 2uc charge and -4uc charge 7.00 μC y 60° -4.00 µC 0.50 m +-X 2.00 μCarrow_forwardProblem 4. A positive point charge q₁5 [nc] is on the x-axis at x₁ = -1 [m] and a second positive point charge q₂ = 4 [nc] is on the x-axis at x₂ = 3 [m]. dl = b. a. and Point A. C. 91 Point A is on the x-axis at XA = 8 [m]. 0 = EzA=[ O+x O-x O+y O-y d. and Point A. d2 = 2 m 92 Find the distance between 91 6 created by the charge q₁ at Point A. E₁A= Ĵ [N/C] Find the distance between 92 Find the magnitude of È ₁A. [N/C] m x, m Calculate ₁4 the electric field 1A created by the charge 92 at Point A. E₂A î+ [N/C] g. Consider a point located 6 m from the origin, what will be the direction of the net electric field created by the charges at this point? Find the magnitude of È 2A. [N/C] Calculate E24 the electric field 2Aarrow_forward4. In the following figure, two charges: (q, 2 x 10-6C) and (q2 = 2.5 x 10- C). find the magnitude and the direction of the resultant force exerted by the two charges on a third one (Q = 5x0-6C). 0.5m 0.3m 0 4m 0.3m 0.5marrow_forward
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