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 4.6P
A electric field in free space is given as
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subject: ELECTROMAGNETIC FIELDS THEORY
E6
Find the electric field E of the following scalar electric potential V.
i)
ii)
V = 5x²y² + 8xyz [V]
V = 100 + 50 r + 150 r sin Ø [v]
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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- (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_forwardThree uniform line charges with 75 n c/m located at x=1, z=2 and y=-2, z=5 and x=-3y=-1 respectively. Find E at the origin? Engineering Electrical Engineering Electromagnetic Theoryarrow_forwardFind the gradient of the field f at point (1,45 °,2) f = pzcos20arrow_forward
- -Find an expression to calculate the electric field at point A, indicating the norm of the vector and its direction. -20 X- A +4Qarrow_forwardGiven the potential field, V = x2y–z, and a point P (–4,3,6), find V, E, direction of E, D, and ρv.arrow_forwardQuestion 2 Determine the gradient of the scalar field T = 4xz2 + 3yz.arrow_forward
- Note: Please do not handwritten.arrow_forwardME. 15. A square surface with one edge at 1.2 meters is oriented with its normal unit vector parallel to uniform electric field E with magnitude 1.7x10^3 N/C. What is the electric flux through the surface? Select one: O a. 2937.6 Nm2/C b. 2040 Nm2/C O c.0 Nm2/C d. 2448 Nm2/C Clear my choicearrow_forwardAsap pleasearrow_forward
- Solve the problem in Image the fast ASAP thank u the chapter electromagnetic fieldsarrow_forward2) If the angle the displacement makes with the electric field is 0° it means the charge is moving along (or parallel to) the field vectors. Is work being done? How will the angle here affect the work done, explain your answer with a diagram? Last Revised 12/21/2015 Equipotential Surfaces – 3.1arrow_forwardwrite neat please. double check your work please. show all your steps. thank youarrow_forward
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