Engineering Electromagnetics
9th Edition
ISBN: 9781260029963
Author: Hayt
Publisher: MCG
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 3, Problem 3.19P
A spherical surface of radius 3 mm is centered at P(4,1,5) in free space. Let D=xax C/m2. Use the results of Section 3.4 to estimate the net electric flux leaving the spherical surface.
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?
what is the flux leaving at 1cm
A solid conducting sphere of radius R
carries a charge +Q.
A thick conducting shell is concentric with the sphere
and has an inner radius R2 and outer radius R3.
The shell carries a charge -Q.
The figure shows a cross section.
a) Where are the charges located? Add charge symbols to
the figure.
R1
R3
R2
b) Add a few electric field lines and equipotential lines to the figure. Please label the lines
clearly.
c) Draw a sketch of the potential as a function of distance from the center of the sphere. Please
label all interesting points on the graph.
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
- 1. ELECTRIC FLUX. A rectangular flat surface with sides 0.200 m and 0.500 m is under the influence of a uniform electric field E = 85.0 Nc that is directed at 20.0° from the plane of the rectangular sheet. Find %3D the electric flux through the rectangular flat sheet.arrow_forwardA circular disk of radius 3.3 m has a non-uniform surface charge density of p, = sin nC/m? is located at the 9p origin as shown in the figure. The net flux in "nC" through a closed surface of a cube centered at the origin that has side length of 8.6 m is Ps y Answer:arrow_forwardA 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.arrow_forward
- Using the Gaussian surface shown below, find the total charge enclosed by the Gaussian surface due to the infinite sheet of charge. Gaussian surface 2m 1m infinite sheet of charge y А. Qenc = S ps dx dy + ſſ ps dx dy Qenc = $ ps dx dy C. Qenc = ps R dr dø + ſſ ps R dr dø D. Wrong selection of Gaussian Surface. B.arrow_forwardQ5. Consider two magnetic fields given by (a)B = 3x²y – 4xz + 5z2 and (b) B =constant. Comment on these magnetic fields.arrow_forwardA solid cylindrical has charge density p = 1,5 nC/m and radius R = 12 cm (see the figure). What are the electric fields at r = 8 cm andr + + + + + + + +++ + + + + =15 cm. ++ + + +++arrow_forward
- There are four charges, q1 = 2nC, q2 = -2nC, q3 = 1nC, and q4 = -1nC. Draw 3 Gaussian surfaces enclosing 2 of the charges where; the net flux is zero (label surface S1), the net flux is going out of the surface (label this surface S2), and finally the net flux is coming into the surface (label surface S3). q1 q2 q3 q4arrow_forwardFigure shows a circuit and a conducting rod. A conducting rod moves with a constant velocity vperpendicular to a circuit with a current I=2.82sin(??)arrow_forwardFigure shows a Gaussian surface in the form of a closed cylinder (a Gaussian cylinder or G-cylinder) of radius R. It lies in a uniform electric field E with the cylinder’s central axis (along the length of the cylinder) parallel to the field. What is the net flux ϕ of the electric field through the cylinder?arrow_forward
- A conducting cylinder of radius 3.5 cm and length 5.6 cm has a total charge of 4.5 x10 ^ -9 C distributed uniformly on its surface area. Find the potential at (a) its surface and (b) 2.5 cm and (c) 5.0 cm from the center of the cylinder. I really need an idea huhu.?arrow_forwardThe 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=2marrow_forwardAs6arrow_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