Fundamentals of Electromagnetics with Engineering Applications
1st Edition
ISBN: 9780470105757
Author: Stuart M. Wentworth
Publisher: Wiley, John & Sons, Incorporated
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 2, Problem 2.66P
A 1.0–cm–diameter conductor is sheathed with a 0.50–cm thickness of Teflon and then a 2.0–cm (inner) diameter outer conductor. (a) Use Laplace’s equation to find an expression for the potential as a function of Ï� in the dielectric. (b) Find E as a function of Ï�. (c) What is the maximum potential difference that can be applied across this coaxial cable without breaking down the dielectric?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A coaxial cable has voltage of 0.7 V on its inner conductor with a diameter of 4 cm and a voltage of -0.7 V on its outer conductor with a radius of 8 cm. Use Laplace equation to find:1) The general expression for the voltage at the dielectric.2) The general expression for the electric field intensity at the dielectric.3) The surface at which the voltage equals 0.1 V. *
Poisson's and Laplace's Equations Q5) Assume two conducting coes with their vertices on the origin and their axes on the z-axis. The point (2, 0, 4) is on the first cone (50 V) and the point (0, 6, 4) is on the second (10 V) cone, respectively. Find the voltage at (3, 4, 2).
a. Electrostatic fields have many applications, but most are low “low-power”applications; that is relatively low forces are involved. Explain why this is so.b. Given that D= (10) ar (c/) in cylindrical coordinates, evaluate both sides of the divergence theorem for the volume enclosed by r = 1m, r = 2m and Ƶ= 0 and Ƶ= 10c.Explain the significant physical difference between Poisson’s and Laplace’s equation? d. Find Electric field intensity at the origin due to a point charge of 64.4nC located at (-4,3,2)m in cartesian coordinate.
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...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.Similar questions
- The image shows a coaxial cable (two nested cylinders) of length l, inner radius a and outer radius b. Note that l >> a and l >> b. The inner cylinder is charged to +Q and the outer cylinder is charged to −Q. a) Calculate the Poynting vector S in the cable.arrow_forwardElectromagnetics Given scalar field T(r,θ,φ) =rsinθcosφ. If F= grad T. Determine Fφ at P(4,1.2rad,1rad)arrow_forwardAn H field in free space is given as ?(?, ?) = 10 cos(108? − ??) ? ?/?. Find i. β ii. λ iii. E(x,t) at P(0.1, 0.2, 0.3) at t = 1nsarrow_forward
- A rectangular frame with the dimensions a=1.7 m, b=1.5 m is located on the xy-plane with its center at the origin as shown in the below figure. An electromagnetic wave with an induction field of B vector =0.6cos(2πt)az(vector) T exists. Calculate V0 if the electromotive force is in the form of e(t)=V0sin(2πt) voltsarrow_forwardA mass spring system is given by the ODE: 2x′′ +cx′ +8(π^2)x=0 a) What are the values of c ≥ 0 for which the system is: -Overdamped -Critically damped -Underdamped b) Pick a value of c > 0 (note you cannot use c = 0) which is underdamped, and write down a general solution of the system. c) Suppose c = 0, but there is an external force which is given by the periodic extension of F(t) = 4t, for −1 < t ≤ 1 That is the ODE is given by: 2x′′ +8(π^2)x=F(t), Does resonance occur? d) What is the Fourier series of F given in c)?arrow_forwardThere are point loads Q1= 4, Q2=9 and Q3=4 at points A(-7,0), O(0,0) and B (4,0) in the OXY plane, respectively. Write the value of the y-component of the electric field in terms of ke numerically at the point P(0, 13) on the-axis.arrow_forward
- Vectors and Electromagnetics subjectComplete solution Let E= 400ax − 300ay + 500az in the neighborhood of point P(6,2, −3). Find the incremental work done in moving a 5C charge a distance of 1mm in the direction specified by:a. ax + ay + azb. −2ax + 3ay − azarrow_forwardA charge QA = −20µC is located at A(−6, 4, 7), and a charge QB = 50µC is at B(5, 8, −2) in free space. If distances are given in meters, find: a. RAB; b. |RAB|. Determine the vector force exerted on QA by QB if E0 = c. 10−9/(36π) F/m; d. 8.854 × 10−12 F/m.arrow_forwardQ1. In free space, there are 2 concentric spherical surfaces with radii a and b. There is a constant volume charge density between 2 surfaces such that:a) Find the electric potential everywhere using Poisson’s equation. b) Find the electric field vector everywhere using Poisson’s equation.arrow_forward
- A charge QA = −20μC is located at A(−6, 4, 7), and a charge QB = 50μC is at B(5, 8,−2) in free space. If distances are given in meters, find:(a) RAB; (b) RAB. Determine the vector force exerted on QA by QB if 0 = (c) 10−9/(36π) F/m; (d) 8.854 × 10−12 F/m.Ans. 11ax + 4ay − 9az m; 14.76 m; 30.76ax + 11.184ay − 25.16az mN; 30.72ax+ 11.169ay − 25.13az mNarrow_forwardSHOW YOUR COMPLETE SOLUTION, MAKE SURE YOUR ANSWERS ARE IN 4 DECIMAL PLACES. A uniform line charge ρL = 15 nC/m lies on the line, x = -6, z = 8, in freespace. Find E in the Cartesian components at: (c) P2(8, 60o, 6)arrow_forwardElectromagnetics Given scalar field T(r,θ,φ) =rsinθcosφ. If F= grad T. Determine Fθat P(7,0.6rad,0.9rad) 4 decimalsarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Introductory Circuit Analysis (13th Edition)Electrical EngineeringISBN:9780133923605Author:Robert L. BoylestadPublisher:PEARSONDelmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage LearningProgrammable Logic ControllersElectrical EngineeringISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education
- Fundamentals of Electric CircuitsElectrical EngineeringISBN:9780078028229Author:Charles K Alexander, Matthew SadikuPublisher:McGraw-Hill EducationElectric Circuits. (11th Edition)Electrical EngineeringISBN:9780134746968Author:James W. Nilsson, Susan RiedelPublisher:PEARSONEngineering ElectromagneticsElectrical EngineeringISBN:9780078028151Author:Hayt, William H. (william Hart), Jr, BUCK, John A.Publisher:Mcgraw-hill Education,
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:PEARSON
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Cengage Learning
Programmable Logic Controllers
Electrical Engineering
ISBN:9780073373843
Author:Frank D. Petruzella
Publisher:McGraw-Hill Education
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:9780078028229
Author:Charles K Alexander, Matthew Sadiku
Publisher:McGraw-Hill Education
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:9780134746968
Author:James W. Nilsson, Susan Riedel
Publisher:PEARSON
Engineering Electromagnetics
Electrical Engineering
ISBN:9780078028151
Author:Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:Mcgraw-hill Education,
Demos: Dielectric breakdown; Author: Caltech's Feynman Lecture Hall;https://www.youtube.com/watch?v=2YrHh1ikefI;License: Standard Youtube License