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
Define the continuity equation, then discuss the relaxation time in dielectric and conducting materials.
Q.3 (a) A capacitor's structure is made up of two conductors that are separated by a
dielectric material. Describe the phenomenon that allow the flow of current
through the dielectric material. Include in the description relevant mathematical
derivation of the abovementioned phenomenon.
(b) A capacitor such as illustrated in Figure Q.3 is constructed using copper as plate
A and plate B plus a dielectric material with ɛ, 3.8 and o = 4 S/m between the
plates. Potential
difference
plates A
across
is VAB (t) =
Vo cos(2n x 10°t) V. Assume that Plate A and plate B carry charges +Q(t) and
and
-Q(t) respectively as well as fringing field at the edge of the plates can be ignored,
determine:
(i)
Q(t) if the capacitance is 2.135 x 10-11 F
(ii)
M(t) if electric field within the capacitor, E(t) = M(t)
fV/m
Based on Q.3(b)(ii), examine:
(iii) Conduction current density and conduction current.
UNIVE
(iv) Displacement current density and displacement current.
arch
ASUS VivoBook
A coaxial cable has an inside wire with a 1.2 mm radius and an outside conductor with an inside radius 1.4 mm and an outside radius of 1.7 mm. Take the insulator between the conductors to have a dielectric constant of 8.30. If it is connected across a 95 V de source then what is the energy per length (U/L) of the conductors
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
- (al:Determine E caused by the spherical cloud of electrons with a volume charge density of - 1.68 x 10 -18 for 0 10mm. Clearly mention the surfaces, there differential components and write the equation properly by doing all the steps. (b): For the dielectric composition shown in the figure find out its total capacitance.arrow_forwardA hollow conductor us at a potential V. The potential at any point inside the hollow is,arrow_forwardBoth the Biot-Savart and Coulomb's laws exhibit an inverse-square relationship between field and source.? True O Falsearrow_forward
- Which of the following statements is correct? Select your answer. Take the surface integral and divide its line integral to solve the charge with a given line charge density. Take the double integration procedure to solve the charge with a given surface charge density. Take the line integral first, then the surface integral to solve the charge with a given volume charge density. Divide the volume charge density by the surface charge density to solve the charge.arrow_forward6- Why an insulator is represented as a capacitor C? What are the assumption modes?arrow_forwardGive the reason why a dielectric material increases capacitance compared with what it would be with air between the plates of a capacitor.what is the independent reason that a dielectric material also allows a greater voltage to be applied to a capacitor?(The dielectric thus increase C and permits a greater V.).arrow_forward
- For the circuit shown in Figure:a. Determine the reluctance values and show themagnetic circuit, assuming that μ = 3,000μ0.b. Determine the inductance of the device.c. The inductance of the device can be modified bycutting an air gap in the magnetic structure. If a gapof 0.1 mm is cut in the arm of length l3, what is thenew value of inductance?d. As the gap is increased in size (length), what is thelimiting value of inductance? Neglect leakage fluxand fringing effects.arrow_forwardPlease discuss the "BOUNDARY CONDITION FOR PERFECT DIELECTRIC MATERIALS" in many sentencesarrow_forwardThe circuit shown in the given figure is a model of a solenoid, such as that used to engage the gear of a car’s starter motor to the engine’s flywheel. The solenoid is constructed by winding a wire around an iron core to make an electromagnet. The resistance R is that of the wire, and the inductance L is due to the electromagnetic effect. When the supply voltage vs is turned on, the resulting current activates the magnet, which moves the starter gear. Obtain the model of the current i given the supply voltage vs.arrow_forward
- Field current If can be varied by varying the resistance of field resistance which is connected in series with the field circuit. Select one: True Falsearrow_forwardDetermine the transition temperature and critical field at 4.2K for a given specimen of a superconductor if the critical fields are 1.41times10^(5) and 4.205times10^(5) amp/m at 14.1K and 12.9K respectively. how you conclude that the all superconductors are diamagnetic but all diamagnetic materials are not superconductors.arrow_forwardFill in the blanksadd, capacitance, charge capacity, dielectric, dissipate, electrical circuits, , passive, plates,proximity, storesA capacitor is a 1 …………. two-terminal electrical component that 2 ……… potential energy in anelectric field. The effect of a capacitor is known as 3. …………... While some capacitance exists betweenany two electrical conductors in 4. …………… in a circuit, a capacitor is a component designed to 5.…… capacitance to a circuit. The capacitor was originally known as a condenser.The physical form and construction of practical capacitors vary widely and many capacitor types are incommon use. Most capacitors contain at least two electrical conductors often in the form of metallic 6.………… or surfaces separated by a 7. ………medium. A conductor may be a foil, thin film, or anelectrolyte. The nonconducting dielectric acts to increase the capacitor's 8. ………… ………. Materialscommonly used as dielectrics include glass, ceramic, plastic film, paper, mica, and oxide…arrow_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