EBK FUNDAMENTALS OF APPLIED ELECTROMAGN
7th Edition
ISBN: 8220100663659
Author: ULABY
Publisher: PEARSON
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Chapter 4.4, Problem 8CQ
How should one choose a Gaussian surface?
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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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- Q1. a) () Describe in words how you might apply Gauss's law to a closed surface to determine the free charge enclosed. Describe the two most useful Gaussian surfaces. Where are they used and what differences must be accounted for when applying them? (ii)arrow_forwardQ1. a) (i) Describe in words how Gauss's law is applied to determine the free charge on an arbitrarily shaped metal surface. (ii) Describe the two most useful Gaussian surfaces. Where are they used and what differences must be accounted for when applying them?arrow_forwardUsing 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_forward
- 16- CE) (#) Three solid cyinders of each length Land uniform charge Qare shown in cross section in Figure, For each cylinder a concentric cylindrical Gaussian surface of the same radius is drawn. What is the correct order of the Gaussian surfaces according to the electric field at any point on the surface, from largest (first) to smallest (ast? O I-arrow_forwardQ4. In Gauss's law, what can we conclude if we have two different Gaussian surfaces, as shown in Figure Q4? i. the outward flux density of D through a closed Gaussian surface S is equal to the enclosed charge Qenc in that surface. ii. the outward flux density of D through an open Gaussian surface S is equal to the enclosed charge Qene in that surface. iii.Both Gaussian surfaces can be used iv. D due to Gaussian surface A > D due to Gaussian surface B v. D due to Gaussian surface B > D due to Gaussian surface A Pa i, ii, iii b. i. iii, v ii, iii, iv c. d. i, ii, v D R O Gaussian surface: Figure Q4 Electric field = E= V/d 2014 (arrow_forwardSuppose a piece of coaxial cable is made with a solid wire at the center. A metal cylinder has a common center with the wire and its radius is 3 mm. A 4 A current flows up the center wire and a 2.5 A current flows down the cylinder. Find the B-field at 5 mm from the center.arrow_forward
- Question One: A long conducting wire with a square cross-section of side length a carries a uniform electric current density J. We are interested in the component of the magnetic field tangential (parallel) to the surface of the conductor. a. What direction does the magnetic field point (cw or ccw) and what is its approximate magnitude (i.e. what is its average magnitude)? b. What method (or law) would you use to find its exact magnitude everywhere over the surface? conductor c. Is the normal component of the magnetic field exactly zero at the surface? Why or why not? d. If there also exists a total current I = Ja² flowing out of the page distributed uniformly over the surface of the conductor, is the magnetic field outside the conductor zero everywhere? Why or why not? e. If both the volume current (into the page) and the surface current (out of the page) are present, is the magnetic field inside the conductor clockwise, counter clockwise, or zero? Justify your answer.arrow_forwardDetermine the mutual inductance between a very long straight wire and a conducting circular loop of radius “b" m set up "d" m apart on the same plane as shown figure.arrow_forward2) If the angle the displacement makes with the electric field is 0° it means the charge is moving along (or parallel to) the field vectors. Is work being done? How will the angle here affect the work done, explain your answer with a diagram? Last Revised 12/21/2015 Equipotential Surfaces – 3.1arrow_forward
- Point charges Q,= snc and Qu = - une are placed at (3,2,I) and (-40,6), restectiVely. Determine force on Q.arrow_forwardA disk with radius 0.1m is oriented with its normal vector at an angle of 30° to uniform electric field with magnitude of 2000 N/C. a. What is the electric flux through the disk b. What is the flux so that its normal vector is perpendicular to electric field? c. What is the flux through the disk if its normal vector is parallel to electric field?arrow_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_forward
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