Engineering Electromagnetics
9th Edition
ISBN: 9781260029963
Author: Hayt
Publisher: MCG
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Textbook Question
Chapter 3, Problem 3.3P
Consider an electric dipole in free space, consisting of point charge q at location 2 = +d'2, and point charge -q at location z = -d/2. The electric field intensity in the xy plane is (see Problem 2.7):
where p is the radius from the origin in cylindrical coordinates.
(a) Determine the net electric flux associated with this field that penetrates the xy plane. (b) Interpret your result as it relates to Gauss’s law.
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2) 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 – 3.1
8. A uniform line charge puc/m lies along the x-axis. What flux crosses a
spherical surface centered at the origin with radius = 4m?
As6
Chapter 3 Solutions
Engineering Electromagnetics
Ch. 3 - Prob. 3.1PCh. 3 - An electric field in space is E=(5z2/C0)azV/m....Ch. 3 - Consider an electric dipole in free space,...Ch. 3 - An electric field in free space is E=(5z3/0)z V/m....Ch. 3 - A volume charge distribution in free space is...Ch. 3 - Prob. 3.6PCh. 3 - Prob. 3.7PCh. 3 - Use Gauss, law in integral form to show that an...Ch. 3 - A sphere of radius a free space contains charge of...Ch. 3 - An infinitely long cylindrical dielectric of...
Ch. 3 - Consider a cylindrical charge distribution having...Ch. 3 - The sun radiates a tota1 power of about 3.86...Ch. 3 - Spherical surfaces at r = 2, 4, and 6 m carry...Ch. 3 - Prob. 3.14PCh. 3 - Volume charge density is located as follows; pv=0...Ch. 3 - An electric flux density is given by D=D0aP, where...Ch. 3 - In a region having spherical symmetry, volume...Ch. 3 - State whether the divergence of the following...Ch. 3 - A spherical surface of radius 3 mm is centered at...Ch. 3 - A radial electric field distribution in free space...Ch. 3 - In a region exhibiting spherical symmetry,...Ch. 3 - (a) A flux density field is given as F1 = 5 az....Ch. 3 - (a) A point charge Q lies at the origin. Show that...Ch. 3 - In a region in free space, electric flux density...Ch. 3 - Within the spherical shell, 3D= 5(r-3)3a,C/m2 .(a)...Ch. 3 - If we have a perfect gas of mass density Px...Ch. 3 - Consider a slab of material containing a volume...Ch. 3 - Repeat Problem 3.8, but use .D= pv and take an...Ch. 3 - Prob. 3.29PCh. 3 - (a) Use Maxwells first equation. �. D=Pv, to...Ch. 3 - Prob. 3.31P
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.Similar questions
- electromagnetic theoryarrow_forwardelectromagnetic theory question. please answer it as soon as possible.arrow_forward3)Derive electromagnetic field environment equation for Electric field intensity resulting from an infinite extent sheet of charge ps placed on the X-Z plane at Y = 0. A rectangular box is employed as the Gaussian surface surrounding a section of sheet charge with sides 2x, 2y and 2z .No flux is through the side of the box, so consider the flux through the top and bottom surface. Point P is placed along the y axis. Psarrow_forward
- 27 - The suitable Gaussian surface to find the electric field at a point outside the sphere is .................. A) a small cylinder B) a spherical shell C) an arbitrary shape D) none of them E) a cylindricalarrow_forwardin free space. Calculate the value of Electric Field E in its vector form? . Four identical point charge of 4 pC each located at he corners of a square 0.5 mm on a side in free space. How much work must be done to move one charge to a point equidistant from the other three and in the same plane? Hint: Ans is 442 micro Joule . The magnetic field intensity is given in the region defined by H = z²ax + x³ay רווarrow_forwardJust you EDIT Problem 3: A semicircular ring of radius R and charge density pỊ is given. Calculate electric field at center of the are and identify its direction. Add to story Morearrow_forward
- 39.A point Charge = 50C surrounded by an imaginary sphere of radius r= 0.15 m centered on the charge. Find the resulting electric flux through the space? a. 56.5 x10-11 b. 56.5 x10-12 c. 56.5 x1011 d. 56.5 x1012 40.A uniform electric field with a magnitude of E-450 N/C incident on a rectangular plane with a length and width of 5mm and 4mm respectively and makes an angle of 45" with it. Find the electric flux through this surface? a. 63.6x102 b. 63.6x104 c. 63.6x10² d. 63.6x10*arrow_forwardUsing the method of integration, what is the electric field of a uniformly charged thin circular plate (with radius R and total charge Q) at x0 distance from its center? (Consider that the surface of the plate lies in the yz plane) Use the template in the attached pictures to solve the problem.arrow_forwardGiven a 2.215 nC/m2 surface charge at z = – 15. Solve E on point (250, 100, 10) caused by the surface charge in (nC/m).arrow_forward
- 4) Four dipoles, each consisting of a +10-uC charge and a -10-µC charge, are located in the xy-plane with their centers 1.0 mm from the origin, as shown. A sphere passes through the dipoles, as shown in the figure. What is the electric flux through the sphere due to these dipoles? (Ɛo = 8.85 × 10-12 4) %3D C2/N m2) y 1.0mm Sphere X -1.0mm 1.0mm -1.0mm A) 0.00 N · m2/C C) 11 x 105 N · m2/C B) 9.0 x 106 N · m2/C D) 4.5 x 106 N · m2/Carrow_forwardA uniform line charge density of 20nC lies on the z-axisbetween z=0.5 and z=2.5 m. No other charge is present. Find E at a) the origin.arrow_forwardAn L-shaped conducting wire, in the xz-plane, measuring 1.0 m by 1.0m for each leg, carries a 4 A constant current, in the directions shown in the Figure. The origin coincides with the corner of the L-shape. Calculate the B (with arrow on top) field at a point on the y-axis 0.5m from the origin.arrow_forward
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