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 2.35P
To determine
To derive:The equations for electric flux density for all
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Suppose an Electric Flux Density in
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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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- The electric flux density is given by D = 7 C/m?. The volume charge densityPy а, (in C/m3) at r= 3.4 is Select one: 95.20 71.40 47.60 550.26 242.76arrow_forwardFind the total current I flowing in the cylindrical shell as shown in the figure. Assume that the current density is), = kıp (A/m?). Assume that k1 = 30, a = 0.2m, and b = 0.5m. a Js yarrow_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
- In a dielectric material for which ε=2ε0 and potential distribution is given by V(x)=8x2-5x (V). What is the electric flux density D at x=2 m ? Lütfen birini seçin: a. -44 C/m2 b. -50 C/m2 c. -60 C/m2 d. -54 C/m2 e. -65 C/m2arrow_forwardA long, solid, cylindrical wire of radius A has a current density given by j = j0r/A. Determine the magnetic field, within the wire, in terms of the total current "I" flowing through the wire.arrow_forwardsolve the question in the image provided.arrow_forward
- Please asaparrow_forwardD 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_forwardThree long, parallel, straight wires each carrying a 8.0 A current pass through the vertices of an equilateral triangle (L= 8.0 cm) as shown in the figure below. Currents on wires B and C are out of page while that of wire A is into the page. What is the r and y components of the magnetic field vector at the point of the wire B? Give your answer in uT. В The answer is integer. L Carrow_forward
- Consider the electrostatic potential distribution V = 75000p, which exists in water (the relative permittivity of water equals 80.4). Calculate the electrostatic energy stored in the cylindrical volume shown in the figure below. The dimensions shown in the figure are in meter (m). V =75000P Im Зт Water E, = 80.4arrow_forwardWrite the equations to determine the value of the magnetic field in the air gap in this circuit. Assume that the core of a permeability µ has a uniform cross section A. The values of I, N, I1, l2, I3, and l4 are given. 13 Air gap 13arrow_forwardTwo infinite wires are charged uniformly with linear charge density as shown in the figure. What is the magnitude of the electric field (in N/C) at point B? Given that (d)=0.5 m. +12 nC/m +6 nC/m •B d Select one: O a. 503.54 O b. 72 O c. 359.67 O d. 215.8 O e. 647.4arrow_forward
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