Fundamentals of Electromagnetics with Engineering Applications
5th Edition
ISBN: 9780471263555
Author: Stuart M. Wentworth
Publisher: John Wiley & Sons
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Chapter 2, Problem 2.38P
Determine the charge density at the point
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The cylindrical surface ρ = 8 cm contains the surface charge density, ρS = 5e−15|z| nC/m2.
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Two bidirectionally infinite line charges exist in vacuum. One has a charge density of -8 nC/m at x = -4, y = -3, while the other has a charge density of 9 nC/m at y = -8, z = -9. Determine the y-component of the electric field in V/m at (8, 4, 3).
Chapter 2 Solutions
Fundamentals of Electromagnetics with Engineering Applications
Ch. 2 - Given P(4, 2, 1) and APQ=2ax+4ay+6az, find the...Ch. 2 - Prob. 2.2PCh. 2 - Prob. 2.3PCh. 2 - Suppose Q1(0.0,-3.0m,0.0)=4.0nC,...Ch. 2 - Prob. 2.5PCh. 2 - Suppose 10.0nC point charges are located on the...Ch. 2 - Four 1.00nC point charges are located at...Ch. 2 - A 20.0nC point charge exists at...Ch. 2 - Prob. 2.9PCh. 2 - Convert the following points from Cartesian to...
Ch. 2 - Prob. 2.11PCh. 2 - Prob. 2.12PCh. 2 - Prob. 2.13PCh. 2 - A 20.0–cm–long section of copper pipe has a...Ch. 2 - A line charge with charge density 2.00nC/m exists...Ch. 2 - You are given two z–directed line charges of...Ch. 2 - Suppose you have a segment of line charge of...Ch. 2 - A segment of line charge L=10.nC/m exists on the...Ch. 2 - In free space, there is a point charge Q=8.0nC at...Ch. 2 - Prob. 2.20PCh. 2 - Sketch the following surfaces and find the total...Ch. 2 - Consider a circular disk in the x–y plane of...Ch. 2 - Suppose a ribbon of charge with density S exists...Ch. 2 - Sketch the following volumes and find the total...Ch. 2 - You have a cylinder of 4.00–in diameter and...Ch. 2 - Consider a rectangular volume with...Ch. 2 - Prob. 2.27PCh. 2 - Prob. 2.28PCh. 2 - Given D=2a+sinazC/m2, find the electric flux...Ch. 2 - Suppose the electric flux density is given by...Ch. 2 - Prob. 2.31PCh. 2 - A cylindrical pipe with a 1.00–cm wall thickness...Ch. 2 - Prob. 2.34PCh. 2 - Prob. 2.35PCh. 2 - A thick–walled spherical shell, with inner...Ch. 2 - Prob. 2.37PCh. 2 - Determine the charge density at the point...Ch. 2 - Given D=3ax+2xyay+8x2y3azC/m2, (a) determine the...Ch. 2 - Suppose D=6cosaC/m2. (a) Determine the charge...Ch. 2 - Suppose D=r2sinar+sincosaC/m2. (a) Determine the...Ch. 2 - Prob. 2.42PCh. 2 - A surface is defined by the function 2x+4y21nz=12....Ch. 2 - For the following potential distributions, use the...Ch. 2 - A 100nC point charge is located at the origin. (a)...Ch. 2 - Prob. 2.46PCh. 2 - Prob. 2.47PCh. 2 - Prob. 2.48PCh. 2 - Suppose a 6.0–m–diameter ring with charge...Ch. 2 - Prob. 2.50PCh. 2 - Prob. 2.51PCh. 2 - The typical length of each piece of jumper wire on...Ch. 2 - A 150–m length of AWG–22 (0.644 mm diameter)...Ch. 2 - Determine an expression for the power dissipated...Ch. 2 - Find the resistance per unit length of a stainless...Ch. 2 - A nickel wire of diameter 5.0 mm is surrounded by...Ch. 2 - Prob. 2.57PCh. 2 - A 20nC point charge at the origin is embedded in...Ch. 2 - Suppose the force is very carefully measured...Ch. 2 - The potential field in a material with r=10.2 is...Ch. 2 - In a mineral oil dielectric, with breakdown...Ch. 2 - Prob. 2.62PCh. 2 - For z0,r1=9.0 and for z0,r2=4.0. If E1 makes a 300...Ch. 2 - Prob. 2.64PCh. 2 - Consider a dielectric–dielectric charge–free...Ch. 2 - A 1.0–cm–diameter conductor is sheathed with a...Ch. 2 - Prob. 2.67PCh. 2 - For a coaxial cable of inner conductor radius a...Ch. 2 - Prob. 2.69PCh. 2 - Prob. 2.70PCh. 2 - A parallel–plate capacitor with a 1.0m2 surface...Ch. 2 - Prob. 2.72PCh. 2 - Prob. 2.73PCh. 2 - Given E=5xyax+3zaZV/m, find the electrostatic...Ch. 2 - Suppose a coaxial capacitor with inner radius 1.0...
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- A charge +Q, is uniformly distributed within a sphere of radius R. Find the electric field, due to this charge distribution, at a point distant r from the centre of the sphere where : (i) 0 < r < R and (ii) r > Rarrow_forwardThe cylindrical surface ρ = 8 cm contains the surface charge density, ρS = 5e−20|z| nC/m2. (i) What is the total amount of charge present? (ii) How much electric flux leaves the surface ρ = 8 cm, 1 cm< z < 5 cm, 30◦ < φ < 90◦?arrow_forwardA uniform sheet charge, infinite in extent, is located at x=2 m. Given that the charge density is 5 nC/m^2, determine E at the origin.arrow_forward
- What is the electric flux density (in µC/m2) at a point (6, 4, - 5) caused by a uniform surface charge density of 60 µC/m2 at a plane x = 8?arrow_forwardVolume charge density is given by e^-1000ρe^-100z C/m^3 . Find the maximum value of ρv in the region 0 ≤ ρ ≤ 0.01 m, 0 ≤ Φ ≤ 2π, 0 ≤ z ≤ 0.01 m.arrow_forwardFind the force on a point charge of 50 μC at (0, 0, 5) m due to charge of 500π μC that is uniformly distributed over the circular disk r ≤ 5m, z = 0arrow_forward
- Find the work done in moving a charge of 0.3 C from the point A(2, 0, 0) to the point B(0, 2, 0) through the field E = 6x²āx + 6yāy + āz V/m along: (a) a straight-line orarrow_forwardDetermine the potential difference, in V, in moving a charge from A(-4, 2, 1) m to B(-2, 4, -4) m against the electric field due to an infinite sheet charge of density 9 nC/m2 at x = 3 m.arrow_forwardA uniform volume charge distribution Pv=3 (nC/m3) exists in a sphere that has a radius of 3 cm. What is the value of E at a distance R=1 cm? (Use Gauss’s Law)arrow_forward
- The density seen in the figure is 4pi Coulomb charge uniformly (evenly everywhere) distributed along the surface of the 2m radius disc. According to this, 1. Find the charge density on the disc surface. 2. Find the electric field that will occur at the point 2m above the axis of the charge.arrow_forwardThe work done in carrying a -1C charge from point A(0,0,0) to the point B(4,0,0) in the field E = 2xax + 2yay V/m in x axisarrow_forwardA solid sphere of radius 0.5 m is uniformly charged with a charge density of 1.127×10-8 C/m3. If the chosen Gaussian sphere has a radius of 0.2 m, determine the total electric flux through the Gaussian sphere.arrow_forward
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