Consider a uniformly charged sphere of radius rand total charge q. the electric field eout outsidethe sphere (r≥r) is simply that of a point charge q. the electric field ein inside the sphere (r≤r) is radially outward with field strengthein=1/4πϵ0(q/r^3)rthe electric potential vout outside the sphere is that of a point charge q. find an expression for the electric potential vin at position r inside the sphere. as a reference, let vin=vout at the surface of the sphere. what is the ratio vcenter/vsurface? graph v versus r for 0≤r≤3r.