Angle Between Charged Particles in Equilibrium

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SUMMARY

The discussion centers on determining the angle between four charged particles in equilibrium, specifically focusing on their arrangement and the angles formed between them. The participants suggest that the particles, being of the same charge, will repel each other and form a tetrahedral configuration. The angle between any two consecutive particles is established as 109.28 degrees, which is derived from the geometric properties of a regular tetrahedron. The confusion regarding the inclusion of gravitational forces and the positioning of the particles is noted, but the primary focus remains on the electrostatic arrangement.

PREREQUISITES
  • Understanding of electrostatics and Coulomb's law
  • Familiarity with geometric shapes, specifically tetrahedrons
  • Basic knowledge of equilibrium concepts in physics
  • Ability to visualize three-dimensional arrangements of particles
NEXT STEPS
  • Study the principles of electrostatic forces and their effects on charged particles
  • Learn about the geometric properties of tetrahedrons and their angles
  • Explore the concept of equilibrium in multi-particle systems
  • Investigate the role of gravitational forces in charged particle arrangements
USEFUL FOR

Students of physics, particularly those studying electrostatics and particle dynamics, as well as educators looking for examples of equilibrium in charged systems.

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Homework Statement


Four charged particles are hung from the same position. At equilibrium, what will the angle between any two consecutive particles be (wrt common position)?


The Attempt at a Solution



I don't really get the question. Am I supposed to consider gravity as well? Can the particles go above the point of suspension? This question confuses me.
 
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I think it MAY be trying to get to the atomic model. Like, they'll try to be as far apart as possible. However, since they're hung together, it's like the nucleus holding the electrons together... And 4 charged particles... all of the same charge?

Otherwise, the tetrahedral shape... So like, 60degrees? Which angle is the angle between two consecutive particles? Confused.
 
If you imagine a string from one of the particles to the common point, then there are four such strings. The angle between consecutive strings is what's been asked. As for the tetrahedron, the angle is 109'28".
 
Help! Somebody?
 

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