Concept explainers
Repeat Example 4-5 for liie circular disk of charge of radius a, but in the present case, assume the surface charge density to vary with r as
Want to see the full answer?
Check out a sample textbook solutionChapter 4 Solutions
Fundamentals of Applied Electromagnetics (7th Edition)
- A spherical region of radius a has total charge Q. If the charge is uniformly distributed, apply Gauss's law to find D both inside and outside the sphere.arrow_forwardIn the 0<r<1mm cubic region, it is given as ρ_v=2e^(-100r) nC/m^3. In other places, the charge density is given as 0.a) Find the total charge inside the spherical surface r=1mm.b) Calculate the expression Dr on the r=1mm surface using Gauss's law.arrow_forwardUse Gauss’s law to derive the expression for the electric field between two uniformly charged large parallel sheets with surface charge densities a and -a respectively.arrow_forward
- A conducting cylinder of radius 3.5 cm and length 5.6 cm has a total charge of 4.5 x10 ^ -9 C distributed uniformly on its surface area. Find the potential at (a) its surface and (b) 2.5 cm and (c) 5.0 cm from the center of the cylinder. I really need an idea huhu.?arrow_forwardPlease answer and write neatly. (Show your complete solution.) Volume charge density is located in free space as ρν = 2e−1000r nC/m3for 0 < r < 1 mm, and ρν = 0elsewhere.(a) Find the total charge enclosed by the spherical surface r = 1 mm.(b) By using Gauss’s law, calculate the value of Dr on the surface r = 1 mm.arrow_forwardCharge Q=20 μC is located at the origin in free space. Determine the flux density at point (2, -1, -2) marrow_forward
- Given a charge distribution with density ρv = 5r C/m3 in spherical coordinates, use Gauss Law to find D.arrow_forwardVolume charge density is located in free space as ρν = 2e−100r nC/m3 for 0 < r < 3 mm, and ρν = 0 elsewhere. Find the total charge enclosed by the spherical surface r = 2 mm. By using Gauss’s law, calculate the value of Dr on the surface r = 2 mm.arrow_forwardThe cylindrical surfaces ρ = 1, 2, and 4 cm carry uniform surface charge densities of 20, −8, and 5 nC/m2, respectively. How much electric flux passes through the closed surface ρ = 5 cm, 0 < z < 2 m? Find D at P(-1 cm, 2 cm, 4 cm).arrow_forward
- A sphere has radius of R. The sphere also has a uniform charge of 4Q. There is a point charge of -Q at sphere's center. Derive an equation for E at points where the radius is less then R.arrow_forwardThe density seen in the figure is 4pi Coulomb charge uniformly (evenly everywhere) distributed along the surface of the 2m radius disc. According to this, 1. Find the charge density on the disc surface. 2. Find the electric field that will occur at the point 2m above the axis of the charge.arrow_forwardThe charge, whose density is 10x (micro / m ^ 2) in free space, is distributed along the surface of the disc with an inner radius of 1m and an outer radius of 2m. According to this, a) Find the total load on the disk.b) If a load of 1µC is placed at the point 2m above the axis of the load, find the force that will affect this load.arrow_forward
- 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,