Point Charge accelerated by charged ring

AI Thread Summary
A point charge Q is placed at the center of a charged ring, with one half charged 2Q and the other half 4Q. Upon release, the point charge accelerates indefinitely, raising the question of its ultimate speed. The discussion highlights confusion regarding the separation of the ring's charges and their influence on the point charge, noting that it is equidistant from all charges. To find the ultimate speed, the potential energy of the point charge in relation to the total charge (6Q) is considered, suggesting a relationship between potential energy and kinetic energy. The key takeaway is the need to calculate the total potential energy to determine the point charge's speed upon release.
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1. A point charge Q is held in the center of a charged ring. Half of the ring is charged
uniformly with charge 2Q and the other half with 4Q. When the point charge is released, it
accelerates toward infinitum. What is the ultimate speed of the point charge?



2. Homework Equations [E=F/q]



3. Don't know where to start. I know that there is a force applied to the charge, but the separation of the ring into halves is confusing me.
 
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The point charge is the same distance from all those charges.

The potential energy of a point charge q near another charge Q at distance r:-kqQ/r
 
"The point charge is the same distance from all those charges.

The potential energy of a point charge q near another charge Q at distance r:-kqQ/r "

So in other words I should add up the charges (6Q) and then find the potential energy. Then relate potential energy to kinetic?
 

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