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 2.41P
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Find the total current I flowing in the cylindrical shell as shown in the figure. Assume that the
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A 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
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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.
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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- D 2) Suppose: ?a Find the flux through the surface of a cylinder with O a and by evaluating the left side and the right side of the divergence theorem. Use oD dS DdV divergence theorem V With the help of these values formulate equations of electrostatic field environment equations. as jop = pdp do a, %3D a dSade = pdp dz a, %3D side dS bottom =-pap do a,arrow_forwardA point charge is placed at the origin of a Cartesian co-ordinate system, in vacuum. In this problem we shall use the standard boundary condition for the electrostatic potential from a point charge, i.e. V(0) = 0V.arrow_forwardGauss law states that the electric flux passing through any closed surface is equal to Select one: a. the total charge outside that surface b. None of the above c. the total charge enclosed by that surface.arrow_forward
- Q3) a point charge of 2uc at origin and a sphere of radius 1m with a uinform charge distribution pv= 2nc/m. determine the flux density at: i) r= 0.5m ii) r=2marrow_forwardConsider two spherically charged system in Figure Q1d, with a = 2 m, b = 4 m and c = 6 m. Solve the electric flux density, D for all regions. Hence, sketch the magnitude of D versus radial distance, r. d) P= 2? Clm? P,= 4r C/m Figure Q1darrow_forwardfind the potential difference for each section and between the two ends of the wirearrow_forward
- Two concentric Gaussian surfaces encloses a charge. Which is correct? O The outer surface will have twice the flux because of the induced charge on the inner surface The two surfaces do not affect each other The outer surface will have zero flux because the inner surface absorbed all the flux None of the statements is correctarrow_forwardASAP. Answer letters a, b, c. Answer ALL and I WILL LIKE..arrow_forwardThere are four charges, q1 = 2nC, q2 = -2nC, q3 = 1nC, and q4 = -1nC. Draw 3 Gaussian surfaces enclosing 2 of the charges where; the net flux is zero (label surface S1), the net flux is going out of the surface (label this surface S2), and finally the net flux is coming into the surface (label surface S3). q1 q2 q3 q4arrow_forward
- please answer part C and D only. thank you ...arrow_forwardYou have four charges 2q, q, -q, and -2q. Describe how you would place a closed surface that encloses at least the charge 2q and through which the net flux is (a) 0 and (b) -q/ε0.arrow_forwardWhat is the net electric flux through the closed cylindrical surface(of Radius=R) shown And What is the net charge inside this cylindrical surface? Given that E=80 N/C and R=0.2 m. E 2R Select one: O a. net flux is zero and net charge is zero O b. 10 Nm^2/C, 9*10^(-11) C O c. 50.3 Nm^2/C, 4.4*10^(-10) C O d. 100.5 Nm^2/C, 8.9*10^(-10) C O e. 20.1 Nm^2/C, 1.78*10^(-10) Carrow_forward
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The Divergence Theorem; Author: Professor Dave Explains;https://www.youtube.com/watch?v=vZGvgru4TwE;License: Standard Youtube License