Why cosine theta for calculations?

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SUMMARY

The discussion centers on the necessity of using cosine theta in calculations involving forces between three points, particularly in electrostatics. When calculating the force between two charges, only distance and charge are considered, resulting in a straightforward calculation. However, with three points, the introduction of angles becomes essential to accurately determine the resultant force vector, as it accounts for the directional components of the forces involved.

PREREQUISITES
  • Understanding of electrostatics and Coulomb's Law
  • Familiarity with vector addition and force decomposition
  • Knowledge of trigonometric functions, specifically cosine
  • Basic principles of geometry related to angles and distances
NEXT STEPS
  • Study vector decomposition in physics
  • Learn about Coulomb's Law and its applications
  • Explore trigonometric functions and their role in physics calculations
  • Investigate the concept of resultant forces in multi-body systems
USEFUL FOR

Students and professionals in physics, particularly those studying electrostatics, as well as educators looking to clarify the role of angles in force calculations.

Brad_1234
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When figuring the force between 2 points, no angle the result is calculated just by distance (and charge). But when there are 3 points, either 2 charges or more and a point or 3 charges, why is there an angle calculation?
 
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I think a good start would be to state the problem clearly. Your description of it is a bit vague.
 

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