How Do You Calculate the Potential Energy in a Charge Configuration?

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SUMMARY

The forum discussion focuses on calculating the potential energy in a charge configuration involving four point charges arranged in a square. The total potential energy is derived using the formula \sum U = kq^2\left(\frac{4 + \sqrt{2}}{L}\right), where k is Coulomb's constant and L is the distance between charges. Participants discuss the implications of changing the configuration, specifically doubling the distances between charges, which affects both potential and kinetic energy calculations. The final kinetic energy is expressed as |v| = q\sqrt{\frac{k}{4mL}(4+\sqrt{2})}.

PREREQUISITES
  • Understanding of Coulomb's Law and electric potential energy
  • Familiarity with basic algebra and manipulation of equations
  • Knowledge of kinetic energy and conservation of energy principles
  • Ability to interpret geometric relationships in a square configuration
NEXT STEPS
  • Study the derivation of Coulomb's Law and its applications in electrostatics
  • Learn about the conservation of energy in mechanical systems
  • Explore the concept of potential energy in multi-charge systems
  • Investigate the effects of geometric transformations on potential energy calculations
USEFUL FOR

Students in physics, particularly those studying electrostatics, as well as educators and anyone interested in understanding energy interactions in charge configurations.

  • #31
flyingpig said:
But area and volume only works for easy ones like squares right?
No. If a sphere has a surface area of 7 cm2, and a second sphere has a radius twice radius of the first sphere, then the second sphere has an area of 22 times the area of the first sphere, which gives 28 cm2.

As long as you scale length, width, and height all the same, the shape of the object doesn't matter .
 
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  • #32
This is getting off topic but how can spheres have surface areas? Is it just a circle?
 
  • #33
flyingpig said:
This is getting off topic but how can spheres have surface areas? Is it just a circle?
You're kidding! Think about it.
A sphere is a three dimensional object. A circle is a two dimensional object. Both have a similar definitions.
 

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