Differentiating electrostatic force

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SUMMARY

The discussion focuses on deriving the expression for potential energy between two particles in an ionic bond using Coulomb's law. The initial attempt at the solution involves integrating the force equation, F = (-k * q1 * q2)/r, but the user is advised to reconsider the limits of integration to accurately reflect the convention of zero potential energy. The correct approach requires careful attention to the distance at which potential energy is defined as zero, which impacts the integral's limits.

PREREQUISITES
  • Coulomb's Law
  • Integral calculus
  • Concept of potential energy in electrostatics
  • Understanding of ionic bonds
NEXT STEPS
  • Review the derivation of potential energy from Coulomb's law
  • Study the conventions for defining potential energy in electrostatics
  • Explore the implications of distance in ionic bonding
  • Learn about the differences between classical and quantum electrostatic interactions
USEFUL FOR

Students studying electrostatics, physics educators, and anyone interested in understanding ionic bonding and potential energy calculations in chemistry and physics.

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Homework Statement


Obtain an expression for the potiential energy between to particles in an ionic bond at radius r0

Homework Equations


Coloumb's laws: F = (-k * q1 * q2)/r-1

The Attempt at a Solution


I think that if i do U = r00 F(r)dr = [k * q1 * q2 * r-1]r00 = k * q1 * q2 * r0-1, Then that's the answer, but I'm not sure and i don't have the actual answer available. Any help would be appreciated :)
 
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You'd better take a second look at Coulomb's law.
 
well, if you want to get an answer using the (non-quantum) coulomb interaction, then you are on the right track. Your answer is not quite right. Think about what the distance is, when the potential is zero. (There is a convention to this). And this choice will influence your decision of the limits of your integral.
 

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