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 βq on the outer spherical shell. Take V to be zero when r is infinite.
a. Calculate the potential V(r) for r b. Calculate the potential V(r) for ra c. Calculate the potential V(r) for r>rb
d. Find the potential of the inner sphere with respect to the outer.
Use the equation Er=ββVβr and the result from part (b) to find the electric field at any point between the spheres (ra
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