Fundamentals of Electromagnetics with Engineering Applications
1st Edition
ISBN: 9780470105757
Author: Stuart M. Wentworth
Publisher: Wiley, John & Sons, Incorporated
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Chapter 2, Problem 2.39P
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Gauss law can be used if the structure carrying the charge is asymmetric around the point.
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What is the surface charge density on a sphere with radius 2cm and Q-3 µC uniformly distributed on the
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C/m² 10-4x5.97 .a
C/m² 10-8x6 b O
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C/m² 10-6x3d O
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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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- (1) THE FOLLOWING QUESTIONS ARE BASED ON THE INFORMATION GIVEN HERE. A rod of semiconducting material of length L = 7 m and cross-sectional area A = 2.5 mm2 lies along L. The material obeys Ohm's law, and its resistivity varies along the %3D the x-axis between z = 0 and z = rod according to p= po 1 where po L? 2.5 x 10 4N. m. The end of the rod at a = 0 is at a %3D potential Vo = 40 V greater than the end at a = L. A) What is the total resistance, in units of 2, of the rod? Answer: B) What is the current, in units of miliamperes, in the rod? Answer: C) What is the electric potential, in units of Volt, in the rod at z = L/2? Answer:arrow_forwardA volume charge density is known to be Delta(n, deg, z) in cylindrical coordinates. What is the appropriate expression to evaluate the total charge (for an arbitrary geometry)arrow_forwardA cylinder with radius r = 0.75m and length l = 0.6m that has an infinite line of positive charge running along its axis. The charge per unit length in the line is 7µc/m. i. What is the electric field intensity at radius r = 0.32m and l =0.6m? ii. What is the flux through the cylinder if its length increased to l =0.8m? iii. What is the electric field intensity at radius r= 0.32 and l=0.8m? iv. Briefly explain the effect of an increase or decrease of radius andlength on the electric field intensity.arrow_forward
- Q-4: In a one-dimensional device, the charge density is given by If E=0 at x = 0 and x p(x) = Poa' V = 0 at x = a, find V and E for this device at any point 0 ≤ x ≤a. P= P₁ & II X=Garrow_forwardplease answer part C and D only. thank you ...arrow_forwardME. 3. A positive point charge q = 1.2μC is surrounded by a sphere with radius 0.7m centered on the charge. Find the electric flux through the sphere due to this charge. Select one: O a. 175163.08 Nm2/C O b. 153167.08 Nm2/C O c. 167315.80 Nm2/C Od. 135716.80 Nm2/C Clear my choice <arrow_forward
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