Electric Potential Energy with Three Postive Charges

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SUMMARY

The discussion centers on calculating the change in electric potential energy (EPE) for a system of three positive charges, each valued at +2.5 μC, positioned at (-3.0 cm, 0), (3.0 cm, 0), and (0, 3.0 cm). The stored electric potential energy was previously calculated to be 3.85 J. Upon releasing the third charge from rest, it is established that the change in electric potential energy is equal to the negative of the initial stored energy, confirming that the charge moves towards infinity where potential energy is zero.

PREREQUISITES
  • Understanding of electric potential energy (EPE) concepts
  • Familiarity with Coulomb's Law and its application
  • Knowledge of the relationship between potential energy and kinetic energy
  • Basic skills in vector mathematics for charge positioning
NEXT STEPS
  • Study the derivation and implications of Coulomb's Law
  • Learn about the concept of electric potential and its calculation
  • Explore the relationship between electric potential energy and work done on charges
  • Investigate the behavior of multiple charge systems in electrostatics
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding electrostatics, particularly in calculating electric potential energy in multi-charge systems.

starthorn
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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!
 
Last edited:
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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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