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Two unknown point-like charges q1, q2 and the observational point A are situated in the xy-plane. Charge positions and point A make equilateral triangle of side b with the base parallel to x-axis. Electric field at point A is measured and found to be equal to E = Exi + Eyj (that is, both Ex and Ey are known to you). Based on this information, find the unknown charges q1 and q2.

Added Sun, 28 Jun '15

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y-component =(K*q1/b^(2))*cos 60+(K*q2/b^(2))*cos 60=Ey

q1+q2 =(2Ey*b^2)/K

x-component=(K*q2/b^(2))*cos 60 - (K*q1/b^(2))*cos 60=Ex

q2-q1=(2Ex*b^2)/K

adding the two eqns

q2 = (Ey*b^2)/K +(Ex*b^2)/K

subtracting the two eqns

q1 =(Ey*b^2)/K-(Ex*b^2)/K

Added Sun, 28 Jun '15

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