Engineering Electromagnetics
9th Edition
ISBN: 9780078028151
Author: Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher: Mcgraw-hill Education,
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 4, Problem 4.8P
Given E=-xax+yay,(a) find the work involved in moving a unit positives charge on a circular arc, the circle centered at the origin, from x=a to x=y= a/�2; (b) verify that the work done in moving the charge around the full circle from x=a is zero.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
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 correct
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
=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.
Gauss law can be used if the structure carrying the charge is asymmetric around the point.
Select one:
True
False
ion
Chapter 4 Solutions
Engineering Electromagnetics
Ch. 4 - Given E = Exax + Eyay + Ez3z V/m, where EX, Ey,...Ch. 4 - A positive point charge of magnitude q1 lies at...Ch. 4 - Given E=Epap+Ea+Ez+azV/m, where Ep, E and E2 are...Ch. 4 - An electric field in free space is given by...Ch. 4 - Consider the vector field G = (A/p) aa where A is...Ch. 4 - A electric field in free space is given as...Ch. 4 - Prob. 4.7PCh. 4 - Given E=-xax+yay,(a) find the work involved in...Ch. 4 - An electric field intensity in spherical...Ch. 4 - A sphere of radios a carries a surface density of...
Ch. 4 - At large distances from a dipole antenna (to be...Ch. 4 - Prob. 4.12PCh. 4 - Thee identical point charges of 4 pC each are...Ch. 4 - Given the electric field E=(y+1)ax+(x1)ay+2az find...Ch. 4 - Two uniform lines, 8 nC/m, are located at x=1, z=2...Ch. 4 - A spherically symmetric charge distribution in...Ch. 4 - Uniform surface charge densities of 6 and 2 nC/m2...Ch. 4 - Find the potential at the origin produced by a...Ch. 4 - Volume charge density is given as pv=poer/C/m3,...Ch. 4 - En a certain medium, the electric potential is...Ch. 4 - Prob. 4.21PCh. 4 - A Line charge of infinite length lies along the z...Ch. 4 - Prob. 4.23PCh. 4 - A certain spherically symmetric charge...Ch. 4 - Consider an electric field intensity in free space...Ch. 4 - Let us assume that we have a very thin, square,...Ch. 4 - By performing an appropriate Line integral from...Ch. 4 - Prob. 4.28PCh. 4 - A dipole having a moment P=3ax-5ay+10aznC.m is...Ch. 4 - Prob. 4.30PCh. 4 - A potential field in free space is expressed as...Ch. 4 - Prob. 4.32PCh. 4 - Prob. 4.33PCh. 4 - A sphere of radius a contains volume charge of...Ch. 4 - Four 0.8 nC point charge are located in free space...Ch. 4 - Surface charge of uniform density ps lies on a...
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
- Two point charges are placed on XY plane such that +2C charge at the origin and -4C charge on the Y axis at y= 4 m. Label electric field due to each charge on the x axis at x= -3 m with arrowheads as electric field due to +2C as E1 and electric field due to -4C as E2. Label the direction of net electric field as E with another arrowhead.arrow_forward1%AV l. M 9:E7 EA docs.google.com/forms/d/e bläi 5 If all charges have the same magnitude, the ratio of the electric flux through sphere S4 to the flux * :through sphere S3 is S. -1/2 1/2 O -3/2 3/2 Non of the above bläi 5 The resultant electric field at the IIarrow_forwardA point charge of 12 nC is located at the origin. four uniform line charges are located in the x = 0 plane as follows: 80 nC/m at y = -1 and -5 m, -50 nC/m at y = -2 and -4 m. Find D at P(0,-3, 2), D = Blank 1ax + Blank 2ay + Blank 3az pC/m^2. Use one decimal place. Blank 1 Add your answer Blank 2 Add your answer Blank 3 Add your answerarrow_forward
- 1. Two concentric circular wires carrying the same amount of current is shown below. The wires lie on the same plane. Find the direction and magnitude of the magnetic field at the center of the wires. Hint: At the center of the circular wire (with a radius R): B = Ho! 2Rarrow_forwardReview Conceptual Example 11 before attempting to work this problem. Four charges with equal magnitudes of 12.6 × 10-12 Care placed at the corners of a rectangle. The lengths of the sides of the rectangles are 2.67 cm and 4.60 cm. Find the magnitude of the electric field at the center of the rectangle in Figures a and b. (a) Number i (b) Number i E13 E24 74 (a) Units Units 00 (b) E24arrow_forwardTwo identical conducting spheres,fixed in a place, attract each other with an electrostatic force of 0.108.N when separated by 50.0 cm,center to center.the spheres are then connected by a thin wire conducting wire.when the wire I removed, the sphere repel each other with an electrostatic force of 0.360N.what is the initial charges on the spheres?arrow_forward
- a) Describe Lenz's Law and its differences with Faraday's Law. b) Figure below shows the cross section of a copper wire. (Ho = 47 X 10-7T -m/A. Hcopper 1.26 x 10-6T - m/A) R = 10mm B, r2 = 15mm r = 5mm B2 Calculate the magnetic field (B,) inside the wire with r = 5mm and R = 10mm Calculate the magnetic field (B,) inside the wire with ry = 15mm and R = 10mm c) Based on the figure below, calculate and determine the direction of the magnetic force (F) i. ii. acting on the stretch of wire. B V = 24V 1.5m R = 450 O O O O o o O Oarrow_forwardA negatively charged (-121 uC) block is sitting on a frictionless, flat surface. This 12 kg block is attached to a vertical wall with a horizontal, 0.39 m long string that is under a tension of 100 N. Embedded in the wall (on the other side of the string) is another charge. What is the charge of this embedded charge in the wall? Assume that the block is stuck in place.arrow_forwardLet there be a -30 nC at the origin of the Cartesian coordinate system. How much load should be placed at point (0,-3) so that no force acts on a positive charge at x 0, y= 3 (i.e. at point (0,3))? O -60nC O 120nC O -120nC O 30nC 15nC Nextarrow_forward
- Question Three: Magnetic Force between wires. Three long parallel wires are 5 cm from one another. (Looking along them, they are at three corners of an equilateral triangle.) The current in each wire is 10.00 A, but its direction in wire M is opposite to that in wires N and P. Determine the magnetic force per unit length on each wire due to the other two. M sem 5cmarrow_forwardQ5. Figure below shows three pairs of identical spheres that are to be touched together and then separated. The initial charges on them are indicated. Rank the pairs according to (a) the magnitude of the charge transferred during touching and (b) the charge left on the positively charged sphere, greatest first. +6e -4e 0 +2e -12e +14e (1) (2) (3)arrow_forwardses aThis course O c.-1a 2.y.zaz O d.-1ax2.y.zay-y-az The velocity of electrons with current density 1 unit and a charge density of 2000 nC/m3 is Select one: O a. 5000 b. 2*106 Oc.0.2*106 d.0.5*106 Magnetic field lines of a wire carrying a current I (A) located at the z-axis ut of Select one: O a. Point towards the Extend radially from the WIte b. Point in the direction of the normal vector to the line OC. None of thesearrow_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:PEARSON
Delmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage Learning
Programmable Logic ControllersElectrical EngineeringISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education
Fundamentals of Electric CircuitsElectrical EngineeringISBN:9780078028229Author:Charles K Alexander, Matthew SadikuPublisher:McGraw-Hill Education
Electric Circuits. (11th Edition)Electrical EngineeringISBN:9780134746968Author:James W. Nilsson, Susan RiedelPublisher:PEARSON
Engineering 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,
Electric Charge and Electric Fields; Author: Professor Dave Explains;https://www.youtube.com/watch?v=VFbyDCG_j18;License: Standard Youtube License