(Solved): A metal sphere of radius R is charged to a potential V. () = ? (5 cos? 3 cos 8). V,(0) = (5cos ...

A metal sphere of radius R is charged to a potential V. () = ? (5 cos? – 3 cos 8). V,(0) = (5cos?o – 3cose). V V is a constant. In spherical coordinates, the potential inside the sphere is: 9 V(r,0) = VP2 (cos 0), Vir, C) = VP,(cose), where Pn (2)P,(x) is the n 72 n-th order Legendre polynomial. V(r,0) = VP3 (cose), V(r, C) = VPz(cose), where Pn (2)P,(x) is the n 2 n-th order Legendre polynomial. V(r,0) = VP2 (cose), Vir, C) = VP,(cosø) , where Pn (2)P,(x)is the n n-th order Legendre polynomial. V(r, 8) = VP3 (cose), V Vír, 9) = V5Py(cose), where Pn (2)PyW) is the n n-th order Legendre polynomial.