An insulating thin spherical shell of radius R has a surface charge distribution = 0, (cos0 – 1} (a) Express the surface charge distribution as a linear combination of Legendre polynomials Pa(cose) = Pn(x).
An insulating thin spherical shell of radius R has a surface charge distribution = 0, (cos0 – 1} (a) Express the surface charge distribution as a linear combination of Legendre polynomials Pa(cose) = Pn(x).
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Please answer parts (a) and (b), showing all work.
Transcribed Image Text:An insulating thin spherical shell of radius R has a surface charge distribution
o = 0, (cos0 – 1)}
(a) Express the surface charge distribution as a linear combination of Legendre
polynomials Pa(cose) = Pn(x).
(b) Determine the potential produced by the sphere everywhere.
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