Interaction of Discrete Charged Objects

AI Thread Summary
The discussion revolves around a physics homework problem involving two charged objects, Q1 and Q2, and a test charge, qo. The user has derived the equation 3d² - 8ds + 4s² = 0 but is unsure how to proceed without a specific value for S. A suggestion is made to treat S as a known quantity to solve for d in terms of S. The conversation emphasizes the importance of manipulating the equation to find a general solution rather than relying on specific numerical values. The thread highlights the challenges of solving equations involving variables in electrostatic problems.
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Homework Statement


Two charged objects Q1 = +4Q and Q2 = -Q are located on the x-axis. Q1 is at the origin and Q2 is at the x = +S m position. You also have a test charge +qo


Homework Equations


F = kQq/d2


The Attempt at a Solution



So you find that qo is past Q2 on the x-axis, and you set F1on3 = F2on3 and solve for d. I've done that and I'm left with the formula 3d2 - 8ds + 4s2 = 0. I don't know where to go from here, if I knew the value for S i could use the quadratic equation but I dont. Can anyone help me finish off this problem? Or tell me if I'm doing it wrong? Thanks
 
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Take "s" as a known quantity and solve for d in terms of "s".

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