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
Textbook Question
Chapter 3, Problem 3.22P
(a) A flux density field is given as F1 = 5 az. Evaluate the outward flux of F 1 through the hemispherical surface, r = a, 0 < 0 <θ<đ�œ‹/2, 0<2Ï€. (b) What simple observation would have saved a lot of work in part a? (c) Now suppose the field is given by F2 = 5zaz Using the appropriate surface integrals T evaluate the net outward flux of F2 through the closed surface consisting of the hemisphere of part a and its circular base in the xy plane. (d) Repeat part c by using the divergence theorem and an appropriate volume integral.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
1. ELECTRIC FLUX. A rectangular flat surface with sides 0.200 m and 0.500 m is under the influence of a
uniform electric field E = 85.0 Nc that is directed at 20.0° from the plane of the rectangular sheet. Find
%3D
the electric flux through the rectangular flat sheet.
Figure 1 shows a ferromagnetic core with a relative permeability of 1850, the depth of the core
is 10 cm. The air gap on the core is 0.2 cm with effective area 5 % larger than their physical
size due to fringing effects. Given the number of turns N = 500 and current i = 2 x, where x is
the last digit of your student ID (example: EEE1705590, then i = 20 A):
(a) Find the total reluctance of the core and air gap. [CLO1-PL01:C2]
(b) Find the flux density of the air gap. [CLO1-PLO1:C2]
13 cm
23 cm
9 cm
5.6 сm
Air gap
31 cm
N turns
7 cm
Figure 1
current caming loop with radins =m and
%3D
P5 For a
current I = 2A
find the
moyentic flux density at
%3D
Point (P)on the Z-axis when r=lm (where ris the
distanu from(P) to Me any Paint on the conductor ( loop)
and the Conductor is placed
plane). Also find the mogneticflex density when
(P) is at the centeraf the loop.
on the hovizontal
Chapter 3 Solutions
Engineering Electromagnetics
Ch. 3 - Prob. 3.1PCh. 3 - An electric field in space is E=(5z2/C0)azV/m....Ch. 3 - Consider an electric dipole in free space,...Ch. 3 - An electric field in free space is E=(5z3/0)z V/m....Ch. 3 - A volume charge distribution in free space is...Ch. 3 - Prob. 3.6PCh. 3 - Prob. 3.7PCh. 3 - Use Gauss, law in integral form to show that an...Ch. 3 - A sphere of radius a free space contains charge of...Ch. 3 - An infinitely long cylindrical dielectric of...
Ch. 3 - Consider a cylindrical charge distribution having...Ch. 3 - The sun radiates a tota1 power of about 3.86...Ch. 3 - Spherical surfaces at r = 2, 4, and 6 m carry...Ch. 3 - Prob. 3.14PCh. 3 - Volume charge density is located as follows; pv=0...Ch. 3 - An electric flux density is given by D=D0aP, where...Ch. 3 - In a region having spherical symmetry, volume...Ch. 3 - State whether the divergence of the following...Ch. 3 - A spherical surface of radius 3 mm is centered at...Ch. 3 - A radial electric field distribution in free space...Ch. 3 - In a region exhibiting spherical symmetry,...Ch. 3 - (a) A flux density field is given as F1 = 5 az....Ch. 3 - (a) A point charge Q lies at the origin. Show that...Ch. 3 - In a region in free space, electric flux density...Ch. 3 - Within the spherical shell, 3D= 5(r-3)3a,C/m2 .(a)...Ch. 3 - If we have a perfect gas of mass density Px...Ch. 3 - Consider a slab of material containing a volume...Ch. 3 - Repeat Problem 3.8, but use .D= pv and take an...Ch. 3 - Prob. 3.29PCh. 3 - (a) Use Maxwells first equation. �. D=Pv, to...Ch. 3 - Prob. 3.31P
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
- Three long, parallel conductors cach carry a current of I= 2.00 A. Figure P30.15 is an end view of the conduc- tors, with each current coming out of the page. Taking a = 1.00 cm, determine the magnitude and direction of the magnetic field at (a) point A, (b) point B, and (c) point C. Barrow_forwardQ5. Consider two magnetic fields given by (a)B = 3x²y – 4xz + 5z2 and (b) B =constant. Comment on these magnetic fields.arrow_forwardMENT OF EDI 3. A long, straight conductor carries a current of 8.0 A and is directed to the right. What is the magnitude of the magnetic field produced by the current-carrying wire 2.0 m from the wire? (See figure below) Draw the magnetic field to determine the direction of the field at the specified point P. RICHA AS SACYarrow_forward
- a rectangular ferromagnetic core 40 x 60 mm has a flux φ = 1.44 mwb. an air gap in the core is of length la = 2.5 mm. find the ni drop across the air gap.arrow_forward3. A magnetic circuit consists of silicon steel 3000 permeability of 10-cm length and cross section of 1.5 sq.cm and an air gap of the same cross section and of 2 cm length. A ½ ampere current flows through 500 turns. What is the field intensity at the air gap? a. 156.8 Gauss b. 135.6 Gauss c. 140.6 Gauss d. 164.0 Gaussarrow_forward6. (a) Explain the left hand side and right hand side of Stoke's Curl Theorem by properly drawing the Figures (Specially explain mathematically the detail of calculation from the inside of the open surface).arrow_forward
- a conductor moving with a velocity of 5.0 m/s to the right in the presence of a magnetic field. The flux density is 0.5 T into the page, and the wire is 1.0 m in length, oriented as shown. What are the magnitude resulting induced voltage?arrow_forwardThe force exerted on the length element dl at point P in the circular conductive ring in the figure, Please choose one: a.It is tangent to the ring on the note P. b.It's inward throughout the OP. C.It is outward throughout the OP. D.It is in the direction of the magnetic field.arrow_forwardA ring of ferromagnetic material has a rectangular section. The inner diameter is 15 cm.The outer diameter is 24 cm. And the thickness is 5 cm. There is a coil of 500 turns wound onthe ring. When the coil has a current of 10 A, the flux in the core is 0.0007 Wb. Theaverage length of the ring is Ln=0.66m Determine:a) The magnetomotive force.b) The intensity of the magnetic field and the flux density.c) Reluctance, permeability and relative permeability.arrow_forward
- → Gold 1 km Silver 2 km 1. A cylindrical conductor wire is made using gold (o = 4.1 × 107 S/m) and silver (o = 6.3 × 107 S/m) as shown in the figure. 1 km section of the cylindrical conductor is made of gold and 2 km section of the cylindrical conductor is made of silver. The radius of the cylinder is r = 4 mm. A DC current of 20 A is flowing through 3 km of this wire. (40 points) Find the resistance of the wire. a.arrow_forwardQ14. An air filled parallel plate capacitor is arranged such that the upper plate carries surface charge density 2C/m² and lower plate carries surface charge density -2C/m² as shown in figure. The electric field intensity under the bottom plate will bearrow_forward1. a) Suppose, a magnetic field, B = axzi + byzj + ck; using Gauss's law find out the relation between components a and b.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,
The Divergence Theorem; Author: Professor Dave Explains;https://www.youtube.com/watch?v=vZGvgru4TwE;License: Standard Youtube License