Potential Energy of a Collection of charges

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SUMMARY

The electric potential energy (U) of a system consisting of three equal point charges, each with a charge of 1.35 µC, positioned at the vertices of an equilateral triangle with sides measuring 0.350 m, is calculated using the formula U = k(Qq/r). The total potential energy is determined by finding the potential energy for each pair of charges and summing these values. The calculated total potential energy for this configuration is 0.138 J, confirming the approach of considering each pair due to equal distances and charges.

PREREQUISITES
  • Understanding of electric potential energy and its formula U = k(Qq/r)
  • Knowledge of point charges and their interactions
  • Familiarity with equilateral triangles and geometric arrangements of charges
  • Basic grasp of Coulomb's law and its application in electrostatics
NEXT STEPS
  • Explore the derivation and implications of the formula U = k(Qq/r)
  • Learn about the concept of electric potential energy in multi-charge systems
  • Investigate the effects of varying charge magnitudes and distances on potential energy
  • Study the principles of electrostatics and energy conservation in charge systems
USEFUL FOR

Students studying electrostatics, physics educators, and anyone interested in understanding the interactions and energy calculations of multiple point charges in a system.

Josh930
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Homework Statement



Three equal point charges, each with charge 1.35 \mu C, are placed at the vertices of an equilateral triangle whose sides are of length 0.350 m. What is the electric potential energy U of the system? (Take as zero the potential energy of the three charges when they are infinitely far apart.)

Homework Equations



U=k(Qq/r)

The Attempt at a Solution



should i just find the U for each pair and then just multiply it by the number of possible pairs since the distances and charges are all equal? my answer = .138J
 
Last edited:
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Yup, seems correct to me. The magnitude of the total potential energy of a system of charges is the amount of energy required to separate each of the charges to infinity and thus to "break up" each pair.
 

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