Find q1 such that Force on Test Charge has no X-Component

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SUMMARY

The discussion focuses on determining the value of charge q1 that results in zero x-component of the force acting on a test charge q3 placed at coordinates (5,0,6). Given point charges q1 at (4,0,-3) and q2 at (2,0,1) with q2 specified as 4nC, the solution involves calculating the electric forces exerted by both charges on q3. The key conclusion is that the net force in the x-direction must equal zero, leading to a specific mathematical relationship between q1 and q2.

PREREQUISITES
  • Understanding of Coulomb's Law for electric forces
  • Familiarity with vector components in three-dimensional space
  • Knowledge of point charge interactions
  • Basic algebra for solving equations
NEXT STEPS
  • Study Coulomb's Law and its applications in electrostatics
  • Learn about vector decomposition in three dimensions
  • Explore the concept of electric fields generated by point charges
  • Practice solving problems involving multiple point charges
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in electrostatics and charge interactions, particularly in solving problems involving forces on test charges.

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There are two point charges q1 located at (4,0,-3) and q2 at (2,0,1) if q2=4nC find q1 such that the force on a test charge at (5,0,6) has no x-component. I think I would know how to do this problem if I knew what a test charge was. Is it just one electron.
 
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The point is that doesn't matter what the charge is (as long as it's not zero). If you were to place a charge [itex]q_3[/itex] at (5, 0, 6) what would [itex]q_1[/itex] have to be in order that the force acting on [itex]q_3[/itex] due to the electric field produced by [itex]q_1[/itex] and [itex]q_2[/itex] would give zero x component.
 
thanks for your help
 

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