GRE Conservation of Energy problem.

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SUMMARY

The discussion centers on the derivation of electric potential from the force equation F = K/r^3, leading to the expression for electric potential as V = -K/2r^2. The integration of the force with respect to displacement, Fdr, is highlighted as the method to arrive at this result. The key point of confusion is the appearance of the factor of 2 in the denominator, which is clarified through the integration process of the power function where n = -3.

PREREQUISITES
  • Understanding of electric potential and force relationships in physics.
  • Familiarity with calculus, specifically integration techniques.
  • Knowledge of power functions and their integrals.
  • Basic concepts of electrostatics, particularly Coulomb's law.
NEXT STEPS
  • Study the derivation of electric potential from force in electrostatics.
  • Learn about integration techniques for power functions, focusing on negative exponents.
  • Explore Coulomb's law and its applications in electric field calculations.
  • Review the concept of energy conservation in electrostatic systems.
USEFUL FOR

Students preparing for the GRE Physics exam, educators teaching electrostatics, and anyone seeking to deepen their understanding of electric potential and force relationships in physics.

PsychonautQQ
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Homework Statement


http://grephysics.net/ans/9277/87

Can somebody explain to me why the electric potential = -K/2r^2?
If you integrate Fdr and F = K/r^3, where does the 2 in the denominator come from?
 
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PsychonautQQ said:

Homework Statement


http://grephysics.net/ans/9277/87

Can somebody explain to me why the electric potential = -K/2r^2?
If you integrate Fdr and F = K/r^3, where does the 2 in the denominator come from?
Standard rules. What's the integral of xn.dx? Now put n = -3.
 

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