Fundamentals of Applied Electromagnetics (7th Edition)

7th Edition

ISBN: 9780133356984

Author: ULABY

Publisher: PEARSON

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Dielectric Breakdown

A dielectric is a material with low electrical conductivity and so is classified as an insulator. Dielectric materials are used to block the flow of electricity through them, allowing them to behave as an insulators. They can also be used to store electr…

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Textbook Question

Chapter 4, Problem 55P

In a dielectric medium with ϵ_r = 4, the electric field is given by

E = x ^ ( x 2 +2 z ) + y ^ x 2 − z ^ ( y + z ) (V/m)

Calculate the electrostatic energy stored in the region −1 m ≤ x ≤ 1 m, 0 ≤ y ≤ 2 m, and 0 ≤ z ≤ 3 m.

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Chapter 4, Problem 54P

Chapter 4, Problem 56P

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Chapter 4 Solutions

Fundamentals of Applied Electromagnetics (7th Edition)

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. 3CQ Ch. 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. 11CQ Ch. 4.5 - Why is it usually easier to compute V for a given...Ch. 4.5 - Prob. 13CQ Ch. 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. 15CQ Ch. 4.6 - What is the conductivity of a perfect dielectric?Ch. 4.6 - Prob. 17CQ Ch. 4.6 - Prob. 18CQ Ch. 4.6 - Determine the density of free electrons in...Ch. 4.6 - Prob. 13E Ch. 4.6 - A 50 m long copper wire has a circular cross...Ch. 4.6 - Prob. 15E Ch. 4.7 - What is a polar material? A nonpolar material?Ch. 4.7 - Prob. 20CQ Ch. 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. 23CQ Ch. 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. 27CQ Ch. 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. 2P Ch. 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. 7P Ch. 4 - An electron beam shaped like a circular cylinder...Ch. 4 - Prob. 9P Ch. 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. 15P Ch. 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. 20P Ch. 4 - A horizontal strip lying in the xy plane is of...Ch. 4 - Prob. 22P Ch. 4 - Prob. 23P Ch. 4 - Charge Q1 is uniformly distributed over a thin...Ch. 4 - The electric flux density inside a dielectric...Ch. 4 - Prob. 26P Ch. 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. 30P Ch. 4 - Prob. 31P Ch. 4 - A circular ring of charge of radius a lies in the...Ch. 4 - Prob. 33P Ch. 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. 44P Ch. 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. 56P Ch. 4 - Prob. 57P Ch. 4 - Prob. 58P Ch. 4 - Prob. 59P Ch. 4 - Prob. 60P Ch. 4 - Prob. 61P Ch. 4 - Conducting wires above a conducting plane carry...Ch. 4 - Prob. 63P

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In a dielectric medium with ϵ r = 4, the electric field is given by E = x ^ ( x 2 +2 z ) + y ^ x 2 − z ^ ( y + z ) (V/m) Calculate the electrostatic energy stored in the region −1 m ≤ x ≤ 1 m, 0 ≤ y ≤ 2 m, and 0 ≤ z ≤ 3 m.

Solution Summary: The author explains the electrostatic energy stored in the given region and the relative permeability of the medium.

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Chapter 4 Solutions