There is a charged ring of constant radius lying in the yz plane, centered at the origin. Suppose the charge can move, so the charge density is not necessarily uniform around the ring. Consider a point P on the x axis, the axis of the ring. (a) Does the potential at P vary as the distribution of charge on the ring varies? Why or why not? (b) Does the electric field at P vary as the distribution of charge on the ring varies? Why or why not?