Electric Potential Energy with Three Postive Charges

AI Thread Summary
The discussion revolves around calculating the change in electric potential energy when a third positive charge is released from rest. The stored electric potential energy for the three charges is calculated to be 3.85 J. Upon release, the charge moves towards infinity, where the potential energy is zero. The change in electric potential energy is determined to be the negative of the initial potential energy, confirming that ΔU = -U_initial. This theoretical understanding clarifies the relationship between potential and kinetic energy in the context of electric charges.
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Homework Statement


You have 3 charges, all +2.5 μC arranged on a field at positions (-3.0 cm, 0), (3.0 cm, 0), and (0, 3.0 cm). I have already calculated the stored electric potential energy to be 3.85 J. The question is: If the third charge (0, 3.0 cm) is released from rest, what is its change in electric potential energy?

Homework Equations


EPE=(Kq1q2)/r12

The Attempt at a Solution


I am thinking that since the charge is released, it will be pushed away into inifinity and therefore the change in electric potential energy will be the negative value of the electric potential energy stored when it is at rest, but I am admittedly having a hard time thinking about potential and kinetic energy in terms of charge. I am definitely looking for more of a theoretical explanation than an explanation of the steps of the math. I am capable of doing the math, but I'm not sure where to start.
Thanks so much!
 
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Electrical potential energy for a charge at a given point is defined as the negative of work done in bringing the charge from infinity to that given point. So, once released, it does get pushed back to infinity where the potential energy is zero. So your reasoning is correct that the change is

\Delta U = U_{final} - U_{initial}

or

\Delta U = -U_{initial}
 
Awesome, thank you so much, Infinitum!
 
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