VE230+Homework+3+Fall+2010 - VE 230 Electromagnetics I...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: VE 230 Electromagnetics I VE230 Homework 3 (Due 10/26/10) Fall 2010 3.1 A line charge of uniform density ρl in free space forms a semicircle of radius b. Determine the magnitude and direction of the electric field intensity at the center of the semicircle. 3.2 A horizontal strip lying in the x ­y plane is of width d in the y ­direction and infinitely long in the x ­direction. If the strip is in air and has a uniform charge distribution ρs, use Coulomb’s law to obtain an explicit expression for the electric field at a point P located at a distance h above the centerline of the strip. Extend your result to the special case where d is infinite. 3.3 Two uniform infinite sheets of electric charge densities +ρ and  ­ρ intersect at right angles. Find the magnitude and direction of the electric field everywhere and sketch the lines of E. 3.4 A static electric charge is distributed in a spherical shell of inner radius R1 and outer radius R2. The electric charge density is given by ρ = a + br , where r is the distance from the center, and zero everywhere else. (a) Find an expression for the electric field everywhere in terms of r. € (b) Find an expression for the electric potential. Take the potential to be zero at infinite. 3.5 Determine the work done in carrying a  ­2 µC charge from P1(2,1, ­1) to P2(8,2, ­1) in the field E = xy + yx (a) along the parabola x = 2 y 2 (b) along the straight line joining P1 and P2. € 3.6 A simple classical model of an atom consists of a nucleus of a positive charge € Ne surrounded by a spherical electron cloud of the same total negative charge. (N is the atomic number and e is the magnitude of electronic charge.) An external field E0 will cause the nucleus to be displaced a distance r0 from the center of the electron cloud, thus polarizing the atom. Assuming a uniform charge distribution within the electron cloud of radius b, find r0. 1 ...
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online