What is the potential energy of this group of charges?

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SUMMARY

The discussion centers on calculating the potential energy of a system consisting of three electrons arranged in an equilateral triangle with a proton at the center. The formula used is U = k[(q_1*q_2)/r], where k is the Coulomb's constant. The user initially calculated a potential energy of -6.4*10^-19 Volts but encountered an error regarding the dimensions of the answer. The clarification provided indicates that potential energy should be expressed in joules, not volts, highlighting the importance of unit consistency in physics calculations.

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  • Understanding of Coulomb's Law and potential energy calculations
  • Familiarity with the concept of electric charge and its units
  • Knowledge of unit conversion between volts and joules
  • Basic grasp of geometry, specifically properties of equilateral triangles
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  • Review the principles of Coulomb's Law and its applications in electrostatics
  • Study the relationship between electric potential and potential energy
  • Learn about unit conversions in physics, focusing on energy units
  • Explore the concept of electric fields generated by point charges
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Students in physics, particularly those studying electrostatics, educators teaching electric potential concepts, and anyone needing to understand the calculations involving multiple charges in a system.

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Homework Statement


Three electrons form an equilateral triangle 0.800 nm on each side. A proton is at the center of the triangle.

Homework Equations


U = k[(q_1*q_2)/r]

The Attempt at a Solution


I tried to use the following equation:

k*[(3e^2)/(0.8*10^-9) - (3e^2)/(0.4*10^-9)]

I plugged in 1.602*10^-19 for both e-values, and got the following answer:

-6.4*10^-19 Volts

However, it says that "I do not have the correct dimensions." I'm not sure what that error means or what I did wrong, so any help would be appreciated.
 
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There's no question in your problem statement... thread titles don't really count as part of the problem statement. :smile:

"Dimensions" refer to the units associated with your answer. What are the units of potential energy, as opposed to electric potential?
 
gneill said:
There's no question in your problem statement... thread titles don't really count as part of the problem statement. :smile:

"Dimensions" refer to the units associated with your answer. What are the units of potential energy, as opposed to electric potential?

Oh my goodness what a dumb mistake! thank you!
 

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