Solving for force in vectors of Electric Field

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SUMMARY

The discussion focuses on calculating the charge q that results in a net force of zero on a 1.0 charge in an electric field scenario. The primary equation used is Coulomb's Law, F = K|q1q2|/r², where K is the electrostatic constant. Participants emphasize the importance of analyzing the components of force from each particle acting on the center particle and leveraging symmetry to simplify calculations. Ultimately, the conclusion is that one net force component can be zero regardless of the value of q.

PREREQUISITES
  • Coulomb's Law and its application in electric fields
  • Vector components and their resolution in physics
  • Understanding of symmetry in physical systems
  • Basic principles of electrostatics
NEXT STEPS
  • Study the implications of Coulomb's Law in multi-particle systems
  • Learn about vector resolution techniques in physics
  • Explore symmetry in electric fields and forces
  • Investigate the concept of net force and equilibrium in electrostatics
USEFUL FOR

Students studying physics, particularly those focusing on electrostatics and vector analysis, as well as educators looking for teaching strategies in electric field problems.

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Homework Statement


The net force on the 1.0 charge in the figure is zero.
What is q?


Homework Equations



Please see attachment for question and image.

The Attempt at a Solution



I believed you would solve F =K|q1q2|/r2
 

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Write out the components of force that would be from each other particle on the center particle. Then set the sums for each component (one sum for up/down, one sum for left/right) equal to zero.

Or, first observe symmetry in the problem and realize one of these net force components is zero regardless of q.
 
Last edited:

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