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1. Homework Statement
Blue charge is at origin with positive q charge
Red charge at point (d1,0) with unknown positive charge q_red
Yellow charge at point (d2cos(theta),d2sin(theta)) with negative 2q charge
The net electric force on the blue sphere has a magnitude F and is directed in the  y direction.
Suppose that the magnitude of the charge on the yellow sphere is determined to be 2q. Calculate the charge q_red on the red sphere. Express your answer in terms of q, d1, d2, and theta.
2. Homework Equations
electric force F = kq_1q_2/r^2 where k = 9*10^9, q_1 and q_2 represent point charges, and r is distance between point charges
3. The Attempt at a Solution
F = [(k*q_yellow*q_blue)/d2^2 ] + [(k*q_red*q_blue)/d1^2]
F = [(k*(2q)*q)/d2^2] + [(k*q_red*q)/d1^2]
d1^2[F  ((k*(2q)*q)/d2^2)] / kq = q_red
i think i'm on the right track but i did not use theta which i need to, where did i go wrong
Blue charge is at origin with positive q charge
Red charge at point (d1,0) with unknown positive charge q_red
Yellow charge at point (d2cos(theta),d2sin(theta)) with negative 2q charge
The net electric force on the blue sphere has a magnitude F and is directed in the  y direction.
Suppose that the magnitude of the charge on the yellow sphere is determined to be 2q. Calculate the charge q_red on the red sphere. Express your answer in terms of q, d1, d2, and theta.
2. Homework Equations
electric force F = kq_1q_2/r^2 where k = 9*10^9, q_1 and q_2 represent point charges, and r is distance between point charges
3. The Attempt at a Solution
F = [(k*q_yellow*q_blue)/d2^2 ] + [(k*q_red*q_blue)/d1^2]
F = [(k*(2q)*q)/d2^2] + [(k*q_red*q)/d1^2]
d1^2[F  ((k*(2q)*q)/d2^2)] / kq = q_red
i think i'm on the right track but i did not use theta which i need to, where did i go wrong
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