The three identical point particles that encompass charge q are at the vertices of an equilateral triangle which is circumscribed by a circle of radius a that lies in the z = 0 plane and is centered at the origin. The values of q and a are +2.90 µC and 60.1 cm, correspondingly. (Suppose that the potential is zero very far from all charges.)
(i) Determine the electric potential at the origin? (In kV)
(ii) Determine the electric potential at point on the z axis at z = a? (In kV)
(iii) Explain how your answers to Parts would (a) and (b) modify if the charges were still on the circle however one is no longer at a vertex of the triangle? Describe your answer.