Let e be the charge of the electron. Then F1 + F2 = 0 F1 = K (-1.5) * (-e) /r1^2 F2 = K (15) * (-e) /r2^2 (-1.5) * /r1^2 + (15) /r2^2 = 0 -1 /r1^2 + (10) /r2^2 = 0 [r2/r1]^2 = 10 [R2/r1] = ± 3.162 r2 = ± 3.162 r1.
Given r1 + r2 = √ [1^2 + 0.5^2] = 1.1180-----1 Also tan θ = 0.5 => θ = 26.57° ==================================== Substituting r2 = 3.162 r1 in 1 4.162 r1=1.1180 r1 = 0.2686 m
x coordinate = r1 cos θ = 0.2403 m y coordinate = r1 sin θ = 0.1201m ===================================
Substituting r2 = - 3.162 r1 in 1 -2.162 r1=1.1180 r1 = -0.5171m x coordinate = r1 cos θ = -0.4625m y coordinate = r1 sin θ = -0.2313m ===============================
