A metal sphere with radius ra is supported on an insulatingstand at the center of a hollow, metal, spherical shell with radiusrb. There is charge +q on the inner sphere and charge −q on theouter spherical shell. Take V to be zero when r is infinite.
Calculate the potential V(r) for rCalculate the potential V(r) forra<r<rb
Calculate the potential V(r) forr>rb
Find the potential of the inner sphere with respect to theouter.
Use the equation Er=−∂V∂rand the result from part (b) to find the electric field at anypoint between the spheres(ra<r<rb).
Use the equation Er=−∂V∂rand the result from part (c) to find the electric field at a pointoutside the larger sphere at a distance r from the center, wherer>
