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
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 solutionStudents have asked these similar questions
A sphere of + 11Q charge density of radius a is located in the center of a conductive sphere shell with an inner radius b and an outer radius c, as shown in the figure. a) Find the electric field in each region. b) Find the charge potential in the conductive shell. c) What is the electrical potential outside the sphere?
5. The cylindrical surface p = 6 cm contains the surface charge density p₁ = 10e-10lzl nC/m².
a.) What is the total amount of charge present?
There are there charged concentric conducting spherical shells
and one point change Q in the center of them. Charges of spherical
shells are Q1, Q2 and their radiuses are a, b respectively. Calculate
Q2
Q1
the electric potential and electric field everywhere. Write the
boundary conditions for electric field, displacement field and electric
potential.
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
- The surface charge density p = 3R C / m² is grounded on the surface of the inside of the two concentric thin conductive spheres given in the figure. The space between the two spheres is filled with a dielectric of & 5a. Find a) the electric field intensity between the spheres,b) the potential difference between the spheres, andc) the capacitance between the spheres, and the outer sphere surface is present.Constants: at photoarrow_forwardTwo 1.20 m non-conductive wires form a right angle. A segment has +2.50 µC of charge, distributed evenly along its length; while the other segment has -2.50 µC of charge, distributed uniformly along its length, as illustrated in the figure. Find the magnitude and direction of the electric field produced by these wires at point P, which is 60.0 cm from each wire.arrow_forwardFigure (a) shows a narrow charged solid cylinder that is coaxial with a larger charged cylindrical shell. Both are nonconducting and thin and have uniform surface charge densities on their outer surfaces. Figure (b) gives the radial component E of the electric field versus radial distance r from the common axis. The vertical axis scale is set by E.- 3.9 × 103 N/C. What is the linear charge density of the shell? E 11.4 -E, r(cm) (a) Number Units N/C or V/marrow_forward
- A solid metallic sphere of radius a carries total chargeQ. No other charges are nearby. The electric fieldjust outside its surface is keQ /a2 radially outward. Atthis close point, the uniformly charged surface of thesphere looks exactly like a uniform flat sheet of charge.Is the electric field here given by s/P0 or by s/2P0?arrow_forwardThe charged particle, which enters the region where there are uniform electric and magnetic fields in the directions shown in the figure, comes out between the plates without B 26 - deviating from its trajectory. If the field strengths are E=800 N/C, B=2.0T, what is the speed of the particle? a) 800m/s O B) 400m/s OC) 100m/s D) 200m/s O TO) 1600m/sarrow_forwardA sphere has radius of R. The sphere also has a uniform charge of 4Q. There is a point charge of -Q at sphere's center. Derive an equation for E at points where the radius is less then R.arrow_forward
- A uniform volume charge distribution py=5 (nC/m³) exists in a sphere that has a radius of a=3 cm. What is the magnitude of the electric field intensity at a distance R=4 cm? (Use Gauss's Law) Px. a ütfen birini seçin: a. 4.23 V/m b. 1.13 V/m c. 2.54 V/m d. 5.06 V/m e. 3.17 V/marrow_forwardIn the figure particle 1 (of charge +9.37 mC), particle 2 (of charge +9.37 mC), and particle 3 (of charge Q) form an equilateral triangle of edge length a. For what value of Q (both sign and magnitude) does the net electric field produced by the particles at the center of the triangle vanish? L. Number i Unitsarrow_forwardA charged particle is held at the center of two concentric conducting spherical shells. Figure (a) shows a cross-section. Figure (b) gives the net flux & through a Gaussian sphere centered on the particle, as a function of the radiusr of the sphere. The scale of the vertical axis is set by o = 5.0×10° N.m²/C. What are (a) the charge of the central particle and the net charges of (b) shell A Q3. and (c) shell B? (a) (b) O (10*N •m²/C)arrow_forward
- from to o A semi-infinite Line extending along the Z-axis carries a uniform charge distribution of 100 nC/m. Find the electric field intensity at point plo.012).arrow_forwardA cylindrical metal can has a height of 27 cm and a radius of 11 cm. the electric field is directed outward along the entire surface of the can (including the top and bottom), with a uniform magnitude of 4.0 x 105 N/C. How much charge does the can contain? 2. An insulating sphere with a radius of 20 cm carries a uniform volume charge density of 1.5 x 10-6 C/m3. Find the magnitude of the electric field at a point inside the sphere that lies 8.0 cm from the center. 3. A square metal plate with a thickness of 1.5 cm has no net charge and is placed in a region of uniform electric field 8.0 x 104 N/C directed perpendicularly to the plate. Find the resulting surface charge density on each face of the plate.arrow_forward8r Within a region of free space, charge density is given as pPv = C/m. Find the total charge lying within the spherer5 m. Q 829.2 One possible correct answer is: 3141.5926535898arrow_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:PEARSONDelmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage LearningProgrammable Logic ControllersElectrical EngineeringISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education
- Fundamentals of Electric CircuitsElectrical EngineeringISBN:9780078028229Author:Charles K Alexander, Matthew SadikuPublisher:McGraw-Hill EducationElectric Circuits. (11th Edition)Electrical EngineeringISBN:9780134746968Author:James W. Nilsson, Susan RiedelPublisher:PEARSONEngineering 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