Go Back   Physics Help Forum > College/University Physics Help > Advanced Electricity and Magnetism

Advanced Electricity and Magnetism Advanced Electricity and Magnetism Physics Help Forum

Reply
 
LinkBack Thread Tools Display Modes
Old Oct 17th 2014, 01:07 PM   #1
Junior Member
 
Join Date: Oct 2014
Posts: 1
Potential of Non-Uniformly Charged Spherical Shell

A thin spherical shell of radius R carries a surface charge density of the form kcos^3 θ .
Find the electric field inside and outside the sphere and demonstrate explicitly that its
components satisfy the relevant boundary conditions at the surface.

So, I can work this all the way to finding the coefficients of the infinite series (i.e. I've solved Laplace's equation and need to find the coefficients to satisfy the boundary conditions.) I know the BCs (potential is discontinuous at the surface, electric field isn't) so my question is, when I'm integrating against the Legendre polynomials, will my charge density be orthogonal to all of them except P3(cos theta)= (5cos^3 θ -3cosθ)/2 or do I have to integrate for all them?
azupol is offline   Reply With Quote
Reply

  Physics Help Forum > College/University Physics Help > Advanced Electricity and Magnetism

Tags
charged, nonuniformly, potential, shell, spherical



Thread Tools
Display Modes


Similar Physics Forum Discussions
Thread Thread Starter Forum Replies Last Post
Gauss' Law for spherical shell vs Coulomb's law, regarding reativity ammah Advanced Electricity and Magnetism 0 Jun 25th 2013 02:44 AM
Electric Field of a Uniformly Charged Ring ILoveCollege Advanced Electricity and Magnetism 3 Jan 24th 2010 12:17 PM
Need help with Proper integral of a uniformly charged rod db2dz Electricity and Magnetism 5 Sep 13th 2009 01:32 PM
Electric field of half a spherical shell asi123 Advanced Electricity and Magnetism 1 Jan 30th 2009 05:49 AM
Half charged spherical shell asi123 Advanced Electricity and Magnetism 0 Jan 27th 2009 11:45 AM


Facebook Twitter Google+ RSS Feed