The electric field inside a nonconducting sphere of radius R. containing uniform charge density, is radially directed and has magnitude E = 4 TER where q is the total charge in the sphere and r is the distance from the center of the sphere (a) Find the potential V inside the sphere, taking V = 0 at r=0. (b) What is the difference in electric potential between a point on the surface and the center of the sphere? If q is positive, which point is at the higher potential? (c) Show that the potential at a distance r from the center where r<R is given by V = q(3R^3 ww nd) 8 TEOR where the zero of potential is taken at r= . Why does this result differ from that of part (a)?
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A solid nonconducting sphere of radius R has a uniform charge distribution of volume charge density, ρ=ρ0Rr, where ρ0 is a constant and r is the distance from the centre of the sphere.
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