Calculating Change in Electric Potential Energy with Multiple Charges

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SUMMARY

The discussion centers on calculating the change in electric potential energy when moving a -2.5 µC charge between two 33 µC point charges, located 36 cm apart. The user applied the formula U = kq1q2/r to find the initial (Ui) and final (Uf) potential energy values, resulting in a calculated difference of Uf - Ui = 1.74 J. However, this result was flagged as incorrect by the Mastering Physics platform, indicating a need for a detailed review of the calculations and the application of the formula.

PREREQUISITES
  • Understanding of electric potential energy and Coulomb's law
  • Familiarity with the concept of point charges
  • Knowledge of the constant k (Coulomb's constant)
  • Ability to perform calculations involving microcoulombs (µC) and distances in centimeters
NEXT STEPS
  • Review the application of Coulomb's law in calculating potential energy
  • Investigate the concept of superposition in electric fields
  • Learn how to correctly calculate potential energy differences in multi-charge systems
  • Explore common pitfalls in electric potential energy calculations
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone studying electrostatics, particularly those working on problems involving multiple point charges and electric potential energy calculations.

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Homework Statement


A 33uC point charge is placed 36cm from an identical 33uC charge. A -2.5uC charge is moved from point a to point b in the figure:
http://session.masteringphysics.com/problemAsset/1096949/4/GIANCOLI.ch17.p72.jpg


Homework Equations


U=kq1q2/r


The Attempt at a Solution



I found Ui by using above equation for each r from the -2.5uC charge and found the difference.

Repeated for Uf when charge is moved from a->b.

Uf-Ui = 1.74J, but MP says this is incorrect. What am I missing?
 
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