Fundamentals of Applied Electromagnetics (7th Edition)

7th Edition

ISBN: 9780133356816

Author: Fawwaz T. Ulaby, Umberto Ravaioli

Publisher: PEARSON

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Textbook Question

Chapter 4, Problem 48P

With reference to Fig. 4-19, find E₁ if E 2 = x ^ 3 − y ^ 2 + z ^ 2 ( V/m ) , ϵ₁ = 2 ϵ₀, ϵ₂ = 18 ϵ₀, and the boundary has a surface charge density ρ_s = 3.54 × 10⁻¹¹ (C/m²). What angle does E₂ make with the z axis?

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Chapter 4, Problem 47P

Chapter 4, Problem 49P

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Problem 4. = 5 [nc] is on the x-axis at x₁ = -1 [m] and a second positive point charge q₂ = 5 [nc] is on the x-axis at x₂ = 3 [m]. a. Point A. d1 = b. |Ē₁A| = Point A is on the x-axis at XÃ = 7 [m]. Ẻ₁A d. Point A. d2 = e. = E2Al 2A C. by the charge q₁ at Point A. i + [N/C] Find the distance between 92 and 0 = = O+x O-x O+y O-y A positive point charge q₁ 2 92 Find the distance between q₁ and m Find the magnitude of E₁A [N/C] m f. by the charge q₂2 at Point A. Calculate ₁4 the electric field created 1A [N/C] g. Consider a point located 6 m from the origin, what will be the direction of the net electric field created by the charges at this point? 2 + x, m Find the magnitude of È 2A. [N/C] Calculate E24 the electric field created 2A

Given a 2.215 nC/m2 surface charge at z = – 15. Solve E on point (250, 100, 10) caused by the surface charge in (nC/m).

A point charge of 12 nC is located at the origin. four uniform line charges are located in the x = 0 plane as follows: 80 nC/m at y = -1 and -5 m, -50 nC/m at y = -2 and -4 m. Find D at P(0,-3, 2), D = Blank 1ax + Blank 2ay + Blank 3az pC/m^2. Use one decimal place. Blank 1 Add your answer Blank 2 Add your answer Blank 3 Add your answer

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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With reference to Fig. 4-19 , find E 1 if E 2 = x ^ 3 − y ^ 2 + z ^ 2 ( V/m ) , ϵ 1 = 2 ϵ 0 , ϵ 2 = 18 ϵ 0 , and the boundary has a surface charge density ρ s = 3 . 54 × 10 −11 (C/m 2 ). What angle does E 2 make with the z axis?

Solution Summary: The author calculates the electric field E_1 for the given boundary conditions and the angle that

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