Engineering Electromagnetics
9th Edition
ISBN: 9780078028151
Author: Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher: Mcgraw-hill Education,
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
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.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
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?
A rectangular flat surface with sides 0.200 m and 0.500 m is under the influence of a uniform electric field E=850 that is directed at 20.0" from the plane of the rectangular sheet. Find the electric flux through the rectangular fat sheet.
The electric field present in the region is given by the expression shown in the photo in V/m. Determine the amount of flux, in pC, passing through a disk of radius 5m. The said disk lies on the plane z=2m
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
Knowledge Booster
Learn more about
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
- An 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_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_forward27 - 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_forward
- Just 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_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_forwardtA o A uniform electric field is directed to the right as shown in Figure. Two straight lines each perpendicular to the field are drawn. Which of the followings about the points A, B, C, D, E, and Fon the lines is/are true? I) Because each line represents an equipotential line, there is no potential difference between the two lines. II) There are no potential differences between the points A and Cor D and F. I) When a charged particle moves along either of the lines, the change in the potential energy of the particle-electric field system depends on the sign of the charge on the particle. O A) I, II, and II O B) Iand II Oo l and IlII D) II E) IIarrow_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_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_forwardA line with a uniform charge density is in the upper half of the charge xy-plane, a half of radius acreates a circle. Determine the amplitude and direction of the electric field strength at the center of the semi-circle.Determine.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 thin conducting wire is bent into the shape shown in the figure. The circular portion of the wire has radius 16.0 cm. The wire is in the plane of the screen and carries a current 3.50 A. What is the magnetic field at the center of the loop? (Give the magnitude in μT and select the direction from the options provided.) magnitude direction I -Select--- uT R 3arrow_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_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)Electrical EngineeringISBN:9780133923605Author:Robert L. BoylestadPublisher:PEARSON
Delmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage Learning
Programmable Logic ControllersElectrical EngineeringISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education
Fundamentals of Electric CircuitsElectrical EngineeringISBN:9780078028229Author:Charles K Alexander, Matthew SadikuPublisher:McGraw-Hill Education
Electric Circuits. (11th Edition)Electrical EngineeringISBN:9780134746968Author:James W. Nilsson, Susan RiedelPublisher:PEARSON
Engineering ElectromagneticsElectrical EngineeringISBN:9780078028151Author:Hayt, William H. (william Hart), Jr, BUCK, John A.Publisher:Mcgraw-hill Education,
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:PEARSON
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Cengage Learning
Programmable Logic Controllers
Electrical Engineering
ISBN:9780073373843
Author:Frank D. Petruzella
Publisher:McGraw-Hill Education
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:9780078028229
Author:Charles K Alexander, Matthew Sadiku
Publisher:McGraw-Hill Education
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:9780134746968
Author:James W. Nilsson, Susan Riedel
Publisher:PEARSON
Engineering Electromagnetics
Electrical Engineering
ISBN:9780078028151
Author:Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:Mcgraw-hill Education,
Electric Charge and Electric Fields; Author: Professor Dave Explains;https://www.youtube.com/watch?v=VFbyDCG_j18;License: Standard Youtube License