Balancing four point charges so that the net force acting on each charge is 0.

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SUMMARY

The discussion centers on determining the positions of four point charges (+1C, -1C, +2C, -2C) in a plane to achieve equilibrium, meaning the net force on each charge is zero. The fundamental equation used is Coulomb's law, represented as F = keq1q2/r2. Participants express confusion regarding the initial placement of the charges and the conditions under which the forces can balance out to zero.

PREREQUISITES
  • Coulomb's Law for electrostatic force calculations
  • Understanding of charge interactions and equilibrium conditions
  • Basic knowledge of coordinate geometry for positioning charges
  • Familiarity with vector addition to analyze forces
NEXT STEPS
  • Explore the concept of electrostatic equilibrium in multiple charge systems
  • Learn about vector addition in physics to analyze forces on charges
  • Investigate graphical methods for visualizing charge placement
  • Study the implications of charge magnitudes on force interactions
USEFUL FOR

Students studying electrostatics, physics educators, and anyone interested in solving problems related to charge interactions and equilibrium in electric fields.

haldavidc
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Homework Statement



Find positions of four charges in a plane (+1C, -1C, +2C, -2C) that result in an equilibrium (zero net force on each charge). Report positions as four (x,y) pairs.

Homework Equations



F = [tex]\frac{k_{e}q_{1}q_{2}}{r^{2}}[/tex]

The Attempt at a Solution



I had no idea where to start. It seemed to me that regardless of where I put the charges there would be a net force.
 
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In your equation of the force between two charges, when does the force tend toward zero?
 

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