55. (a) The electric potential is the sum of the contributions of the individual spheres. Let q1be the charge on one, q2be the charge on the other, and dbe their separation. The point halfway between them is the same distance d/2 (= 1.0 m) from the center of each sphere, so the potential at the halfway point is ()()922882128.99 10 N m C1.0 10 C 3.0 10 C1.8 10 V.421.0mqqVdε−−×⋅×−×+===−×0π(b) The distance from the center of one sphere to the surface of the other is d – R, where Ris the radius of either sphere. The potential of either one of the spheres is due to the
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