Three particles carrying equal positive charge q are located at the corners of an equilateral triangle with side length a.
(a) What is the magnitude of the electric field at the center of the triangle?
Express your answer in terms of some or all of the variables a, q, and Coulomb's constant k.
(b) What is the magnitude of the electric field at the midpoint of any side of the triangle?
Express your answer in terms of some or all of the variables a, q, and Coulomb's constant k.
(c) What is the magnitude of the electric field at a distance above the triangle apex?
Express your answer in terms of some or all of the variables a, q, and Coulomb's constant k.
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