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A metal sphere with radius ra is supported on an insulating stand at the center of a hollow, metal, spherical shell with radius rb . There is charge q on the inner sphere and charge -q on the outer spherical shell. (a) Calculate the potential V(r) for (i) r rb . (Hint: The net potential is the sum of the potentials due to the individual spheres.) Take V to be zero when r is infinite. (b) Show that the potential of the inner sphere with respect to the outer is Vab = (q)/(4πϵ0) ( (1)/(ra) - (1)/
A metal sphere with radius ra is supported on an insulating stand at the center of a hollow, metal, spherical shell with radius rb . There is charge q on the inner sphere and charge -q on the outer spherical shell. (a) Calculate the potential V(r) for (i) r rb . (Hint: The net potential is the sum of the potentials due to the individual spheres.) Take V to be zero when r is infinite. (b) Show that the potential of the inner sphere with respect to the outer is Vab = (q)/(4πϵ0) ( (1)/(ra) - (1)/
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