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 3.9P
A sphere of radius a free space contains charge of density pv=p0r/a, where p0 is a constant, (a) Find the electric field intensity, E1, inside the sphere. (b) Find the electric field intensity, E11, outside the sphere. (c) A spherical shell of radius b is positioned concentrically around the sphere. What surface charge density,pr, must exit on the shell so that the electric field at location r>b is zero? (d) What electrostatic force per unit area is exerted by the solid on the spherical shell?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A sheet of charge, ρS = 2nC/m2, is pressed at the plane x = 3 in free space, and a line charge, ρL = 20nC/m, is located at x = 1, z = 4. Find the magnitude of the electric field intensity at the origin. (Hint: E = ES + EL)
4) Develop an electromagnetic field environment equation for the electric field intensity, E provided the electric potential at a fixed radius from the point charge kept at the origin is given as V=Q/(4πɛ˳r), after developing the equation compute the vector value of electric field intensity for a Charge density of pv =10Nc/m3 , provided dv=r² sinθ dr dθ d∅ , and the distance r in magnitude is given as 1m from the origin.
Coaxial conducting cylinders are located at ? = 0.5 cm and ? = 1.2 cm. The region betweenthe cylinders is filled with a homogeneous perfect dielectric. If the inner cylinder is at 100 V
and the outer is at 0V, find(a) the location of the 10 V equipotential surface;(b) the maximum value of electric field ( ????? );(c) the dielectric constant of the medium (??), if the charge per meter length on theinner cylinder is 10 nC/m.
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
- Within the cylinder ρ=5 (m), 0≤z≤1 (m), the potential field is given by V=100+50ρ+150ρ sin Φ Determine the electric field intensity at P(1, π/3, 0.5) in free space and in CCS.arrow_forwardConsider an infinitely long cylindrical shell whose inner radius R is the outer radius 2R. The volumetric charge density varies as p = 9r where r is the distance from the axis of the cylindrical shell. Find the potential difference between A and B points when they are 3R and 4R respectively extended from the axis (Note: R = 40 cm, pi = 3 and epsilon zero = 9 * 10 ^ (- 12))arrow_forwardPlease answer and write neatly. (Show your complete solution.) Volume charge density is located in free space as ρν = 2e−1000r nC/m3for 0 < r < 1 mm, and ρν = 0elsewhere.(a) Find the total charge enclosed by the spherical surface r = 1 mm.(b) By using Gauss’s law, calculate the value of Dr on the surface r = 1 mm.arrow_forward
- Find the electric potential difference V12 between two points in free space at radial distances r1and r2 from an infinite line of charge with density ρl along the z-axis,where the electric field due to an infinite line of charge is: ~E= ˆrρl/2e0rarrow_forwardA charge QA = 30μC is located at A(2, 1, 4), and a charge QB =50μC is at B(5, 8,−2) in free space. If distances are given inmeters, determine the electric field intensity at point C( -2, 3, 1).arrow_forwardIn a spherical electrode system, gas material with the most favorable arrangement in terms of puncture resistance, outer radius r2 = 3.2 cm, puncture field strength Ed=75kV/cm and dielectric constant Ergas=1 is used. According to this;a) Calculate the inner radius of the electrode and the puncture voltage of the system according to the geometrical characteristics of the most suitable arrangement in terms of puncture resistance.b) Draw the puncture curve in the p-Emax plane for a voltage of U=40kV provided the outer radius is kept constant and indicate the boundaries of the inner sphere radii on the curve.c) Briefly interpret the electrode system in terms of discharge events in the geometric characteristics of p=0.8, p=1.8 and p=5 on the puncture curve.arrow_forward
- can you please solve this question, thanks. A sheet of charge, m , is present at the plane x = 3 in free space, and a line charge of rL = 20 nC/m , is located at x = 1, z = 4. (a) Find the magnitude of the electric field intensity at the origin. (b) Find the direction of E at P(4,5,6)arrow_forwardA blue charge, Q = 7.9 C with mass M = 3.8 kg, hangs from a red string of length 1.5 m as shown below. With the mass stationary, the string makes an angle of θ = 41 degrees with respect to the horizontal when a red charge q1 is brought a horizontal distance 1.2 m away. Determine the charge q1, in nC, necessary to do thisarrow_forwardA spherical charge of radius 3 cm and a volume charge density given below. How much is the D-field at a distance of 8 cm from the center of the spherical charge and in uC/(m^2) and 3-decimal places? note: PV = 20 mC/m^3arrow_forward
- In free space, let Q1 = 10 nC be at P1 (0,-4, 0). Find the work required done in moving a 2-microC charge along a straight line path from A(1, 2, 3) to B(3, 1, 2).arrow_forwardIn free space, q1 = 3nC charges are placed on y = 1 and y = 6, respectively, on the y-axis as shown in the figure. Accordingly, what is the electric potential value at y = 4?arrow_forwardA sphere with a radius of 1 relative dielectric constant 0 = 10 has a volumetric charge distribution varying only by "r" (independent of θ and Φ). (Here r is the distance measured from its origin in spherical coordinates.). The region outside the sphere that opens to infinity is the void. The electric field vector in the region (r <1) inside the sphere is as in the photo. Find the explicit expression of the electric field vector outside the sphere.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