Three identical point particals that have charge q are at thevertices of an equi

Question

Three identical point particals that have charge q are at thevertices of an equilateral triangle that is cicumscribed by acircle of radius a that lies in the z=0 plane and is centered atthe origin. The values of q and a are +3.00 C and 60.0cm,respectivly. (Assume the potential is zero very far from allcharges) (a) What is the electric potential at the origin? (b)What is the electric potential at the point on the z axisz=a? (c) How would your answer to Parts (a) and (b) change if thecharges were still on the circle butone is no longer at a vertex ofthe triange? Explain your answer. Three identical point particals that have charge q are at thevertices of an equilateral triangle that is cicumscribed by acircle of radius a that lies in the z=0 plane and is centered atthe origin. The values of q and a are +3.00 C and 60.0cm,respectivly. (Assume the potential is zero very far from allcharges) (a) What is the electric potential at the origin? (b)What is the electric potential at the point on the z axisz=a? (c) How would your answer to Parts (a) and (b) change if thecharges were still on the circle butone is no longer at a vertex ofthe triange? Explain your answer.

Explanation / Answer

a)electric potential right at theorigin=3Q/40a(as potential is a scalar weadd potential due to individual charges ) b)at a height a above the plane distance from each charge=a2 hence potential=3Q/40a2 c)same answer for both what matters is the distance to thatpoint

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