The potential on the surface of a sphere (radius (Assume V(r=) =0, as usual. Also, assume...

 

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The potential on the surface of a sphere (radius (Assume V(r=) =0, as usual. Also, assume there is no charge inside or outside, it's ALL on the surface!) i) Find the potential inside and outside this sphere. (Hint: Can you express cos(20) as a simple linear combination of some Legendre polynomials?) ii) Find the charge density o(0) on the sphere. is given by V=Vo cos(20). The potential on the surface of a sphere (radius (Assume V(r=) =0, as usual. Also, assume there is no charge inside or outside, it's ALL on the surface!) i) Find the potential inside and outside this sphere. (Hint: Can you express cos(20) as a simple linear combination of some Legendre polynomials?) ii) Find the charge density o(0) on the sphere. is given by V=Vo cos(20).