Net force on charges found to be zero

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SUMMARY

The discussion centers on the electrostatic principles related to net forces on charges, specifically when a positive point charge +q is placed near two other charges, A and B. It is established that for the net force on +q to be zero, the forces exerted by A and B must balance each other. The analysis involves applying Coulomb's law to determine the relationships between the magnitudes and signs of the charges A and B. Key conclusions include that if A is negative, B must be positive, and if A is positive, B must be negative for equilibrium.

PREREQUISITES
  • Coulomb's Law
  • Understanding of electrostatic forces
  • Basic principles of charge interactions
  • Knowledge of charge sign conventions
NEXT STEPS
  • Study Coulomb's Law in detail
  • Explore the concept of electric field and potential
  • Investigate the superposition principle in electrostatics
  • Learn about charge distribution and its effects on net force
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Students of physics, educators teaching electrostatics, and anyone seeking to understand the principles of charge interactions and net forces in electrostatic systems.

eltel2910
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I'm having trouble understanding some of these basic electrostatic priciples and my book isn't much help. I've put them in a true/false format. If I could get at few answers, it would really help me understand this.

A positive point charge +q is placed at point p to the right of two charges, A and B. The net force on the +q charge is found to be zero. Which of the statements below are true?

A-----------B-----------P
++++++++++++++++++++q

True or False -- The magnitude of the charge A must be smaller than B.

True or False -- Reversing the sign of +q to -q would make the force on it nonzero.

True or False -- B must have the same sign as A and be less in magnitude.

True or False -- B must have the opposite sign from A and be less in magnitude.

True or False -- Either A or B must be positive.
 
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Welcome to PF eltel.
What are your thoughts on how to go about solving the questions ?
Start from the basics, namely Coulomb's law .
 
I eltel,
you must analyse two cases:
A negative then B must be positive so that the net force be zero on p.
A positive then B must be negative...
Then use Coulomb's law to complete your reasoning.
 

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