EBK FUNDAMENTALS OF APPLIED ELECTROMAGN
7th Edition
ISBN: 8220100663659
Author: ULABY
Publisher: PEARSON
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Textbook Question
Chapter 4.3, Problem 6E
An infinite sheet with uniform surface charge density ρs is located at z = 0 (x–y plane), and another infinite sheet with density −ρs is located at z = 2 m, both in free space. Determine E everywhere.
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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.?
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Fill in the blank:
A uniform sheet of charge with
Ps1 = -0.2 nC/m² occupies the plane
z = 17 and a second uniform sheet of
charge with ps1 = 0.2 nC/m² occupies the
x-y plane. The region between the plates is
free space. The potential difference VBC
B(0, 0, 4) and C(0, -2, 10) is.....
Bc for
V.
Chapter 4 Solutions
EBK FUNDAMENTALS OF APPLIED ELECTROMAGN
Ch. 4.2 - What happens to Maxwells equations under static...Ch. 4.2 - How is the current density J related to the volume...Ch. 4.2 - Prob. 3CQCh. 4.2 - A square plate residing in the xy plane is...Ch. 4.2 - A thick spherical shell centered at the origin...Ch. 4.3 - When characterizing the electrical permittivity of...Ch. 4.3 - If the electric field is zero at a given point in...Ch. 4.3 - State the principle of linear superposition as it...Ch. 4.3 - Four charges of 10 C each are located in free...Ch. 4.3 - Two identical charges are located on the x axis at...
Ch. 4.3 - In a hydrogen atom the electron and proton are...Ch. 4.3 - An infinite sheet with uniform surface charge...Ch. 4.4 - Explain Gausss law. Under what circumstances is it...Ch. 4.4 - How should one choose a Gaussian surface?Ch. 4.4 - Two infinite lines, each carrying a uniform charge...Ch. 4.4 - A thin spherical shell of radius a carries a...Ch. 4.4 - A spherical volume of radius a contains a uniform...Ch. 4.5 - What is a conservative field?Ch. 4.5 - Why is the electric potential at a point in space...Ch. 4.5 - Prob. 11CQCh. 4.5 - Why is it usually easier to compute V for a given...Ch. 4.5 - Prob. 13CQCh. 4.5 - Determine the electric potential at the origin due...Ch. 4.5 - A spherical shell of radius a has a uniform...Ch. 4.6 - What are the electromagnetic constitutive...Ch. 4.6 - Prob. 15CQCh. 4.6 - What is the conductivity of a perfect dielectric?Ch. 4.6 - Prob. 17CQCh. 4.6 - Prob. 18CQCh. 4.6 - Determine the density of free electrons in...Ch. 4.6 - Prob. 13ECh. 4.6 - A 50 m long copper wire has a circular cross...Ch. 4.6 - Prob. 15ECh. 4.7 - What is a polar material? A nonpolar material?Ch. 4.7 - Prob. 20CQCh. 4.7 - What happens when dielectric breakdown occurs?Ch. 4.7 - Find E1 in Fig. 4-19 if E2=x2y3+z3(v/m),1=20,2=80,...Ch. 4.7 - Repeat Exercise 4.16 for a boundary with surface...Ch. 4.8 - What are the boundary conditions for the electric...Ch. 4.8 - Prob. 23CQCh. 4.9 - How is the capacitance of a two-conductor...Ch. 4.9 - What are fringing fields and when may they be...Ch. 4.10 - To bring a charge q from infinity to a given point...Ch. 4.10 - Prob. 27CQCh. 4.10 - The radii of the inner and outer conductors of a...Ch. 4.11 - What is the fundamental premise of the image...Ch. 4.11 - Given a charge distribution, what are the various...Ch. 4.11 - Use the result of Example 4-13 to find the surface...Ch. 4 - A cube 2 m on a side is located in the first...Ch. 4 - Prob. 2PCh. 4 - Find the total charge contained in a round-top...Ch. 4 - If the line charge density is given by l = 24y2...Ch. 4 - Find the total charge on a circular disk defined...Ch. 4 - If J = 4xz (A/m2), find the current I flowing...Ch. 4 - Prob. 7PCh. 4 - An electron beam shaped like a circular cylinder...Ch. 4 - Prob. 9PCh. 4 - A line of charge of uniform density occupies a...Ch. 4 - A square with sides of 2 m has a charge of 40 C at...Ch. 4 - Three point charges, each with q = 3 nC, are...Ch. 4 - Charge q1 = 6 C is located at (1 cm, 1 cm, 0) and...Ch. 4 - A line of charge with uniform density = 8 (C/m)...Ch. 4 - Prob. 15PCh. 4 - A line of charge with uniform density l extends...Ch. 4 - Repeat Example 4-5 for liie circular disk of...Ch. 4 - Multiple charges at different locations are said...Ch. 4 - Three infinite lines of charge, all parallel to...Ch. 4 - Prob. 20PCh. 4 - A horizontal strip lying in the xy plane is of...Ch. 4 - Prob. 22PCh. 4 - Prob. 23PCh. 4 - Charge Q1 is uniformly distributed over a thin...Ch. 4 - The electric flux density inside a dielectric...Ch. 4 - Prob. 26PCh. 4 - An infinitely long cylindrical shell extending...Ch. 4 - If the charge density increases linearly with...Ch. 4 - A spherical shell with outer radius b surrounds a...Ch. 4 - Prob. 30PCh. 4 - Prob. 31PCh. 4 - A circular ring of charge of radius a lies in the...Ch. 4 - Prob. 33PCh. 4 - Find the electric potential V at a location a...Ch. 4 - For the electric dipole shown in Fig. 4-13, d = 1...Ch. 4 - For each of the distributions of the electric...Ch. 4 - Two infinite lines of charge, both parallel to the...Ch. 4 - Given the electric field E=R18R2(V/m) find the...Ch. 4 - An infinitely long line of charge with uniform...Ch. 4 - The xy plane contains a uniform sheet of charge...Ch. 4 - A cylindrical bar of silicon has a radius of 4 mm...Ch. 4 - Repeat Problem 4.41 for a bar of germanium with e...Ch. 4 - A 100 m long conductor of uniform cross-section...Ch. 4 - Prob. 44PCh. 4 - Apply the result of Problem 4.44 to find the...Ch. 4 - A 2 103 mm thick square sheet of aluminum has 5 cm...Ch. 4 - A cylinder-shaped carbon resistor is 8 cm in...Ch. 4 - With reference to Fig. 4-19, find E1 if...Ch. 4 - An infinitely long cylinder of radius a is...Ch. 4 - If E=R150(V/m) at the surface of a 5-cm conducting...Ch. 4 - Figure P4.51 shows three planar dielectric slabs...Ch. 4 - Determine the force of attraction in a...Ch. 4 - Dielectric breakdown occurs in a material whenever...Ch. 4 - An electron with charge Qe = 1.61019 C and mass me...Ch. 4 - In a dielectric medium with r = 4, the electric...Ch. 4 - Prob. 56PCh. 4 - Prob. 57PCh. 4 - Prob. 58PCh. 4 - Prob. 59PCh. 4 - Prob. 60PCh. 4 - Prob. 61PCh. 4 - Conducting wires above a conducting plane carry...Ch. 4 - Prob. 63P
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- A charge distribution in free space has Py = 2r nC/m³ for 0arrow_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_forwarde: A uniform line charge of pL = 3µ C/m lies along the z axis, and a concentric circular -1.5 : µC/m. Both distributions are infinite in extent cylinder of radius 2 m has p5 4T with z. Use Gauss's law to find D in all regions?arrow_forwardA charge of −2 nC is located at the origin in free space. What charge must belocated at (2, 0, 0) to cause Ex to be zero at (3, 1, 1)?arrow_forwardAnswer it..arrow_forwardThe following charges distributions are present in free space as shown in Figure, point charge 6 nC at P(2.0,6). a uniform infinite line charge density 1.5 nCm at x-2, y- 3, and infinite surface charge density 0.1 nCm atx2. the electric field at origin due to the point charge only is le charge 4.427a-1281a 475 ax ONone of Thesearrow_forwardFill in the blank: A uniform sheet of charge with Ps1 = -0.2 nC/m² occupies the plane z = 17 and a second uniform sheet of charge with p$1 = 0.2 nC/m² occupies the x-y plane. The region between the plates is free space. The potential difference VBC for B(0, 0, 4) and C(0, -2, 10) is ..... V. Answer:arrow_forwardAnswer in handwritten only acceptable...arrow_forwardA 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.arrow_forwardAs6arrow_forwardP:07)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_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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