Electromagnetic forces, finding alpha.

AI Thread Summary
To find the value of alpha when a third charge is placed at the origin and experiences zero net force, the relationship between the charges and their distances must be analyzed. The force between charges is governed by Coulomb's law, which states that the force is proportional to the product of the charges and inversely proportional to the square of the distance between them. The user seeks clarification on how to apply this equation, specifically for the forces acting on the charge at the origin from the other two charges, Q and 5Q. Additionally, there is a request for an image to better understand the problem setup. The discussion emphasizes the need for a clear calculation process to determine the conditions under which the net force is zero.
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Homework Statement



When a third charge is placed at the origin, it is found that the force on it is zero. Find alpha?

Two charges Q and 5Q are located as shown in the figure below.
https://chip.physics.purdue.edu/protected/GiordanoEMimg/chapter17/17prob16.jpg



If possible, please show work so i can learn how to do it. Thanks!


Homework Equations





The Attempt at a Solution


I know that force varies as a function of charge and inversely proportional to square of distance.
So i need to use this equation somehow:
F = k Qa Qb / d^2

 
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That link can only be accessed by Purdue University students. Can you attach the image instead?
 
28ugzsj.jpg
 
So suppose that some charge, q, was placed at the origin. What would be the formula for the force on it due to the charge Q? (And for the sake of argument, suppose for now that all the charges, q, Q, and 5Q are positive).
 

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