Electric Potential Energy of Three Point Charges

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SUMMARY

The electric potential energy of a system of three equal point charges, each with a charge of 1.95 microC (not nanoC), placed at the vertices of an equilateral triangle with side lengths of 0.550 m, can be calculated using the formula U = kQ1Q2/r. The correct approach involves summing the potential energy contributions between each pair of charges, leading to the final result of 9.56E-8 J. The error in the initial calculation stemmed from incorrectly using nanoCoulombs instead of microCoulombs.

PREREQUISITES
  • Understanding of electric potential energy calculations
  • Familiarity with Coulomb's Law
  • Knowledge of the concept of point charges
  • Basic proficiency in algebra and unit conversions
NEXT STEPS
  • Study the derivation of Coulomb's Law and its applications
  • Learn about electric potential energy in multi-charge systems
  • Explore the concept of permittivity of free space and its significance
  • Practice problems involving electric potential energy with varying charge configurations
USEFUL FOR

Students in physics, particularly those studying electromagnetism, as well as educators and anyone interested in understanding electric potential energy in systems of point charges.

lwelch70
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Homework Statement



Three equal point charges, each with charge 1.95 nanoC , are placed at the vertices of an equilateral triangle whose sides are of length 0.550m . What is the electric potential energy of the system? (Take as zero the potential energy of the three charges when they are infinitely far apart.)
Use = 8.85×10−12 for the permittivity of free space.

Homework Equations



U = kQ1Q2/r

The Attempt at a Solution



So I know how to go about solving the problem. I take the potential energy between points 1 and 2, 1 and 3, and then 2 and 3 and sum them together.

OR since it is equilateral and all the same charge and I skip a little.

U=3KeQ2/r right?

When I do these steps I come to a final answer of 9.56E-8 J but know that this is not right, first because Mastering Physics told me I was wrong, second because I know that it cannot approach zero unless the distance is approaching infinity. Any suggestions on where I am going wrong?
 
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Oh wow. Haha. Okay guys I figured it out. It wasn't nano Coulomb it was micro. Got the answer on the last try.
 

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