Show that the potential at a generic point for x positive is zero

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SUMMARY

The discussion centers on demonstrating that the electric potential at the point (-x, 0, 0) is zero when two point charges, +q and -q, are positioned at (-a, 0, +a) and (-a, 0, -a) respectively. The initial calculation of the potential using the formula V=(q/(4 pi epsilon0)) ((1/(sqrt((x^2 - a^2) + a^2)) + (1/(sqrt((x^2 - a^2) + a^2)))) was incorrect, as it did not yield zero. The conclusion emphasizes that the potential is indeed zero due to the symmetry and opposite nature of the charges.

PREREQUISITES
  • Understanding of electric potential and point charges
  • Familiarity with Coulomb's law
  • Knowledge of the concept of symmetry in electric fields
  • Basic calculus for evaluating potential equations
NEXT STEPS
  • Study the derivation of electric potential from point charges
  • Learn about the principle of superposition in electrostatics
  • Explore the concept of electric field lines and their relation to potential
  • Investigate the effects of charge symmetry on electric potential
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone studying electrostatics, particularly those interested in electric potential and charge interactions.

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Homework Statement



Show that in this set-up, the potential at a generic point (-x, 0, 0) (for x positive) is zero:

two point charges placed at (-a, 0, +a) and (-a, 0, -a)
the mirror charges are (a, 0, +a) and (a, 0, -a)

The Attempt at a Solution



V=(q/(4 pi epsilon0)) ((1/(sqrt((x^2 -a^2)+a^2))+(1/(sqrt((x^2 -a^2)+a^2)))

this does not equal zero

by the way, please DO NOT DELETE THIS POST, MODS, I ASSURE YOU I HAVE NOT POSTED THE SAME QUESTION. IT IS A TOTALLY DIFFERENT PART OF A QUESTION I POSTED EARLIER.
 
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Yeah, you're right, the voltage is not zero. That's weird. Are you sure the charges are supposed to be the same? Opposite charges at those locations would give V = 0.
 
thanks, sorry, i wasn't paying attention to the part of the question that said 'two point charges +q and -q'
 

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