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 7, Problem 7.28P
Given
A/m in free space: (a) Find the total current in the a direction through the conical surface θ = 20°, 0 < <∅ < r≤0 < r < 5, by whatever side of Stokes' theorem you like the best, (b) Check the result by using the other side of Stokes' theorem.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Given that D= (10r3/4 ) ar (c/m2) in cylindrical coordinates, evaluate both
sides of the divergence theorem for the volume enclosed by r = 1m, r =2m and Ƶ= 0 and Ƶ= 10
Evaluate both sides of divergence theorem for for the volume enclosed between r=1 and r=2 in spherical coordinates. Given that D=(5r²/4)ar
Describe the surfaces, in the spherical coordinates, defined by the following equations:a) ρ=13b) θ=2π/3c) φ=π/4
Chapter 7 Solutions
Engineering Electromagnetics
Ch. 7 - Find H in rectangular components at P(2,3,4) if...Ch. 7 - Prob. 7.2PCh. 7 - Prob. 7.3PCh. 7 - Prob. 7.4PCh. 7 - The parallel filamentary conductors shown in...Ch. 7 - A disk of radius a lies in the xy plane, with z...Ch. 7 - Prob. 7.7PCh. 7 - For the finite-length current element on the z...Ch. 7 - Prob. 7.9PCh. 7 - Prob. 7.10P
Ch. 7 - A solenoid of radius a and of length. L is...Ch. 7 - Prob. 7.12PCh. 7 - Prob. 7.13PCh. 7 - Prob. 7.14PCh. 7 - Prob. 7.15PCh. 7 - A current filament carrying I in the -az direction...Ch. 7 - Prob. 7.17PCh. 7 - Prob. 7.18PCh. 7 - Prob. 7.19PCh. 7 - A solid conductor of circular cross section with a...Ch. 7 - Prob. 7.21PCh. 7 - Prob. 7.22PCh. 7 - Prob. 7.23PCh. 7 - Prob. 7.24PCh. 7 - Prob. 7.25PCh. 7 - Prob. 7.26PCh. 7 - The magnetic field intensity is given in a certain...Ch. 7 - Given H=(3r2/sin)a+54rcosa A/m in free space: (a)...Ch. 7 - Prob. 7.29PCh. 7 - Prob. 7.30PCh. 7 - Prob. 7.31PCh. 7 - Prob. 7.32PCh. 7 - Use an expansion in rectangular coordinates to...Ch. 7 - A filamentary conductor on the z axis carries a...Ch. 7 - A current sheet K = 20 az A/m, is located at p =...Ch. 7 - Let A= (3y-z)ax+2xzayWb/m in a certain regin of...Ch. 7 - Let/N=1000, I=.08 A, p0=2 cm and a=.08 cm for the...Ch. 7 - A square filamentary differential current loop, dL...Ch. 7 - Prob. 7.39PCh. 7 - Show that the line integral of the vector...Ch. 7 - Prob. 7.41PCh. 7 - Show that 2(1/R12)=1(1/R12)=R21/R312.Ch. 7 - Compute the vector magnetic potential within the...Ch. 7 - Prob. 7.44P
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
- Electromagnetic question Consider a hollow cylindrical surface centered on the z-axis with radius r = a, carrying a uniform surface current density Jsa = 5 af A/m. Additionally, there is a second cylindrical surface with radius r = b (b > a), which carries a current density Jsb = 4 az A/m. Calculate the magnetic field intensity H(r) for the following regions: 1. For 0 < r < a: Determine H(r) using the given parameters. 2. For a < r < b: Calculate H(r) using the given parameters. 3. For r > b: Find H(r) using the given parameters.arrow_forwardGiven that D = 10sinϴar + 2 cosϴaϴ .Evaluate both sides of the divergence theorem for the volume enclosed by the shell r = 2.arrow_forwardAn electric field propagates along the z-direction and has only one component along the x -axis. It can be generally described by the equation (phasor form): Ex = E+ exp (-jbz) + E- exp (+jbz) At z=0, there is a mirror (perfect conductor); using the boundary condition Ex =0 at z=0, find: The relation between E- and E+ , also known as the “reflection coefficient”. The time expression of the total electric field for z < 0, assuming an angular frequency w. The distance between the maxima and minima of the electric field. (THIS PROBLEM IS ENTIRELY EQUIVALENT OF AN IDEAL TRANSMISSION LINE SHORT-CIRCUITED AT Z= 0).arrow_forward
- Where surfaces ρ = 5 , φ = 60, and Z = 10 intersect iarrow_forwardFind the surface area of a cone. (Hint: Assume the cone in spherical coordinate system, keepingthe angle θ constant, integrate the differential surface area)arrow_forwardobtain the spherical coordinates of 10a, at the point p(x 3.y 2,24). with unit vectorarrow_forward
- At the points ? (-9,0), ? (0,0) and ? (4,0) in the plane, ?1 = 7, ?2 = 8 and There are 3 = 5 point loads. The electric field at point ? (0, 9) on the ? axis Write the value of the x-component numerically in terms of ke.arrow_forwardA slab of dielectric material has a relative dielectric constant of 3.8 and contains a uniform electric flux density of 8nC/m^2. If the material is lossless; find (a) E, which is the amplitude of the electric field. (b) The polarization P.arrow_forwardIn a material medium with relative dielectric constant LaTeX: \ varepsilon_r = 3 & varepsilon; r = 3, LaTeX: 5 \ mu C5μC load LaTeX: R = 2mR = 2m radius is uniformly distributed over the sphere volume. Accordingly, which of the following is the expression of electric field outside the sphere.arrow_forward
- There are point loads ,Q1 = 5, Q2 = 8 and Q3 = 6 at points A(-8,0), O(0,0) and B (6,0) in the OXY plane, respectively.Write the value of the x-component of the electric field in ke numerically at the point P(0, 10) on the-axis.arrow_forwardDetermine an expression for ay in spherical coordinates at P (r = 4, θ = 0.2π, φ = 0.8π )arrow_forwardGiven K= arsin∅ +a∅6cos∅ and the quadrant region, find the rotation of the vector K and satisfy Stokes' Theorem. (r=6)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: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,
Demos: Dielectric breakdown; Author: Caltech's Feynman Lecture Hall;https://www.youtube.com/watch?v=2YrHh1ikefI;License: Standard Youtube License