Engineering Electromagnetics
9th Edition
ISBN: 9781260029963
Author: Hayt
Publisher: MCG
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Chapter 4, Problem 4.14P
Given the electric field
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Four point charges are at the corners of a square of side 10 cm, asshown in the following figure. If q1 = q2 = q4 = 3.2 × 10−10C and q3 = 1.6 ×10−10C , find the electric field at point P, the center of the square, in unit-vector and magnitude-angle notation.
Two infinite wires are charged uniformly with linear charge density as shown in the figure. What is the magnitude of the electric field (in N/C) at point B? Given that (d)=0.5 m.
+12 nC/m
+6 nC/m
•B
d
Select one:
O a. 503.54
O b. 72
O c. 359.67
O d. 215.8
O e. 647.4
The electric field has a constant value of 2.9 x 105 V/m and is directed downward. The field is the same everywhere. The potential at a
point P within this region is 184 V. Find the potential at the following points: (a) 8.2 x 10³ m directly above P. (b) 4.0 x 103 m directly
below P. (c) 7.0 x 103 m directly to the right of P.
(a) Number
(b) Number i
(c) Number
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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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- The expression of a potential field is given as follows: V=2x²+4y³z Determine the magnitude of the electric field instensity vector E at the point (2,4,3) and the unit vector in the direction of the electric field instensity at the same point.arrow_forwardGiven the potential field, V 2xy-5z, and a point P(-4,3,6), find V, E, direction of E, D, and parrow_forwardSubject Electromagnetic2arrow_forward
- An electric potential has the form V(x,y,z) = 3xy2z. What are the x- and y-components of electric field at (x,y,z) = (2, -2, 1), where the coordinates are expressed in m and the field is expressed in V/m? (12,24), (12,-24), (-12,-24) or (-12, 24)?arrow_forward8. For the situation shown, find the electric field E at point P. 91 5.0 cm 5.0 cm 42 + 20 x 10-C -5.0 x 10-8 C 9. For the situation in No. 8, where in the region would the electric field be zero? 10 Conon fourth n onoh gidoarrow_forward3- Write two examples about converting an equation from polar form [contain r.0] to rectangular equation form, [contain x.y] 4- Write two examples about converting an equation from rectangular form [contain x.y] to polar equation form, [contain r,0].arrow_forward
- What is the correct electric field vector at point P due to source charge q=-25C? Use k=1x1010 Nm²/C². 3.0m q=-25 C 4.0m O(-10¹0 × 10¹0) N/C O(-x10¹0-x 10¹0) N/C O 1x 10¹0 N/C (×10 ¹0+ 10¹03) N/C O(x10¹0+ 10¹03) N/Carrow_forwardELECTROMAGNETICS: MAGNETISMarrow_forward(i) An electrostatic field in xy-plane is given by p(x, y) = 3x2y- y³. Find the stream function w such that the complex potential co= + iw is an analytic function.arrow_forward
- Two infinitely long, parallel lines of charge with linear charge densities 9.0 µC/m and −9.0 µC/m are separated by a distance of 0.50 m. What is the net electric field at point C as shown in the figure below? (Express your answers in vector form.)arrow_forwardThe plane 2x + y = 4 carries a charge 5nC/m2. Find E and D at P(4,2,- 1). (Hint: The source is an infinite sheet of charge. Use D = Pan, you just have to identify an.) 2arrow_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_forward
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