Three charges, -Q, -Q and + 2Q are arranged on an equilateral triangle with (equ

Question

Three charges, -Q, -Q and + 2Q are arranged on an equilateral triangle with (equal) sides of length L as shown. Point M is on the midpoint of the line joining the two negative charges. Potentials are referenced to zero at infinity. All of the charges are embedded in air. Compute the force (magnitude and direction) on the charge +2Q due to other two charges. Compute the electric field (magnitude and direction) at point M produced by the three charges. Calculate the energy necessary to bring a positive charge Q from infinity to point M.

Explanation / Answer

Energy required = change in potential= potential at point M - potential at infinity. Now, potential of Q at point M = (-kQ^2/(L/2))*2 + kQ^2/0.866L= 2.84 kQ^2/L

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