Concept explainers
Videos
In a region in free space, electric flux density is found to be
Everywhere else, D = 0. (a) Using V. D = pv, find the volume charge density as a function of position everywhere, (b) Determine the electric flux that passes through the surface defined by z = 0, -a <<em>x < a, - b < y < b. (c) Determine the total charge contained within the region -a
Want to see the full answer?
Check out a sample textbook solution
Chapter 3 Solutions
Engineering Electromagnetics
- Derive the flux density, D, by applying Gauss's Law:1. Uniformly charged spherearrow_forwardAn infinitely long uniform line charge lies along the x-axis. If the line charge has a density of 12 nC/m, determine E at point (7, 3, -4)marrow_forwardQ1) Evaluate both sides of stoke's theorem if the magnetic flux density is given by 37.7r aphi(vector) uWb/m^2 in a free space area defined byr = 3; 0arrow_forward
- A spherical Gaussian surface surrounds a point charge (q), if the radius of the sphere is doubled, the total flux through that surface will bearrow_forwardA circular disk of radius 5m has surface charge density ρs = 0.75ρ , where 0arrow_forwardWhat is the electric flux density (in µC/m2) at a point (6, 4, - 5) caused by a uniform surface charge density of 60 µC/m2 at a plane x = 8?arrow_forward
- Determine the flux of G out of the entire surface of the cylinder r = 1, 0 <= z <= 1. Confirm the result using the divergence theorem.arrow_forwardWhen the same current flows in the same direction in the form of two parallel straight lines separated by l, as shown in Figure 5, the twoFind the magnetic field H at the position where the distance is z0 away from the center line perpendicular to the propagation current.The thickness of the line is zero and the material of space is air.arrow_forward2) Find the flux crossing the portion of the plane φ=2π/4 defined by 0.043m < r < 0.16m and 0 < z < 575 cm in free space. A current filament of 10 A is along the z axis in the az direction.arrow_forward
- For the following configuration, both line and cylinder are infinite in extent with z-axis find 1-The value of electric field density at r= 3 m 2-The value of electric field density at r= 1 marrow_forwardA rectangular loop carrying current I is placed on the xy-plane. Assume that the corners of the loop are at (0,0),(a,0), (0,b), (a,b). Find the magnetic field intensity above the loop. Specifically, let a=2, b=1: A.) Find the magnetic field intensity H at any point in the region 0<x<a, 0<y<b, 0<z<2.arrow_forwardGiven below, please solve for the total electric flux passing through the rectangular surface z=2, 0 < x < 2, 1 < y < 3, in the az direction. Please show your clean and complete solution. Thank youarrow_forward
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,