1. A sphere of radius R, centered at the origin, carries charge density kR p(r,0) =(R– 2r)sin0 where k is a constant, and r , 0 are the usual spherical coordinates. Find the approximate potential for points on the z axis, far from the sphere.

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1. A sphere of radius R, centered at the origin, carries charge density
p(r,0):
kR
(R-2r)sin0
r2
where k is a constant, and r , 0 are the usual spherical coordinates. Find the approximate
potential for points on the z axis, far from the sphere.
2. There is a spherical shell of radius R, which carries a surface charge o = k cos 0. (a) Calculate
Transcribed Image Text:1. A sphere of radius R, centered at the origin, carries charge density p(r,0): kR (R-2r)sin0 r2 where k is a constant, and r , 0 are the usual spherical coordinates. Find the approximate potential for points on the z axis, far from the sphere. 2. There is a spherical shell of radius R, which carries a surface charge o = k cos 0. (a) Calculate
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