Three particles of charge +q are at the corners of an equilateral triangle of side length a.
(a) At what point, if any, in the plane of the particles is the electric potential zero? Explain your answer.
(b) Determine the electric potential at the position of one of the particles, due to the other two particles in the triangle?
(c) Determine the energy of the third particle (the one not used to calculate the potential in (b)) at its position in the triangle.
(d) How much work is required to assemble the three chargesin this triangular arrangement?