ECE3209-2009-hw3 - ). Plot the magnitude, | ~ E | , as a...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
ECE 3209 — Electromagnetic Fields University of Virginia Fall 2009 Homework # 3 — Electric Fields and Scalar Potential Due: Friday, September 18 1. Cheng, P. 3-11 . 2. Cheng, P. 3-15 . 3. Two spheres, each of radius R and carrying uniform charge densities + ρ and - ρ , respectively, are placed so that they partially overlap. The vector from the center of the negative sphere to the center of the positive sphere is ~s . Show that the field in the region of overlap is constant and find its value. 4. A long coaxial cable carries a uniform volume charge density ρ on the inner cylinder (radius a ) and a uniform surface charge density on the outer cylindrical shell (radius b ). This surface charge is negative and of the right magnitude that the cable as a whole is electrically neutral. Find the electric field in each of three regions (i) inside the cylinder ( r < a ), (ii) between the cylinders ( a < r < b ), and (iii) outside the cable ( r > b
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ). Plot the magnitude, | ~ E | , as a function of r . 5. Find the potential, , at a distance z above the center of the charge distributions shown below: (a) (b) (c) 6. Cheng, P. 3-17 . In class, we found the electric eld around an innitely long uniform line of charge by applying Gausss Law. This was possible because the eld in that case is a function of radial distance r only and any coaxial cylindrical surface around an innite line of uniform charge is an equipotential surface. In practice, of course, all charge sources must be of nite length and, as a result, the equipotential surfaces are not coaxial cylinders. Given a nite line of charge with uniform linear charge density and length L , nd the potential (with reference potential of zero at innity) on a coaxial cylindrical surface of radius R as a function of x and plot it....
View Full Document

This note was uploaded on 10/16/2010 for the course ECE 309 taught by Professor Weikle during the Fall '08 term at UVA.

Page1 / 2

ECE3209-2009-hw3 - ). Plot the magnitude, | ~ E | , as a...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online