How Do You Calculate Electric Potential Energy in a Multi-Charge System?

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SUMMARY

The discussion focuses on calculating electric potential energy in a multi-charge system using the formula TPE = PE11 + PE12 + (PE13 + PE23). The charges involved are -3.0 microcoulombs (charge one) and 5.0 microcoulombs (charge three), with the potential energy calculated based on their distances and interactions. The total potential energy (TPE) is derived from the contributions of each pair of charges, utilizing the equation TPE = 0J + [(q1KQ2)/r2] + [(q1KQ3)/r1 + (q2KQ3)/r3]. The user seeks confirmation on the correctness of their approach to solving the equation.

PREREQUISITES
  • Understanding of electric potential energy concepts
  • Familiarity with Coulomb's law
  • Knowledge of charge interactions in physics
  • Basic algebra for manipulating equations
NEXT STEPS
  • Study the derivation of electric potential energy equations
  • Learn about Coulomb's law and its applications in multi-charge systems
  • Explore the concept of electric field and potential difference
  • Practice solving problems involving multiple point charges
USEFUL FOR

Students studying physics, particularly those focusing on electrostatics, as well as educators and anyone interested in understanding electric potential energy calculations in multi-charge systems.

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Homework Statement


Compute the electric potential energy for the charge configuration shown below.
http://webct6.nic.bc.ca/webct/RelativeResourceManager/Template/CourseMaterials/CourseContent_2007FA/Assignments/PHY060W_Assignment_07_files/image025.jpg"

Homework Equations


PE=-W=qV=q(vb-va)

The Attempt at a Solution



It is assumed that the charges are being brought in from infinity the -3.0 micro coulomb charge is charge one, 5.0 micro coulomb charge is number 3

TPE=PE11+PE12+(PE13+PE23)
TPE= 0J+[(q1KQ2)/r2] + [(q1KQ3)/r1 + (q2KQ3)/r3]

where q1 is charge 1, q2 and Q2 are charge 2, Q3 is charge 3, r1 is the distance between q1 and Q3, r2 is the distance between charge 1 and 2, r3 is the distance between q2 and Q3.

am I on the right track can I simply solve this equation to get the right answer?
 
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