Electric field at origin, zero or nonzero?

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SUMMARY

The electric field at the origin, located between point charges +q and -q positioned at +50 cm and -50 cm on the x-axis, is nonzero. The electric field vectors from each charge at the origin point in opposite directions; the positive charge contributes a field directed away from itself, while the negative charge contributes a field directed towards itself. The resultant electric field at the origin is directed from the positive charge towards the negative charge, confirming that the field is indeed nonzero.

PREREQUISITES
  • Understanding of electric field concepts and vector addition
  • Familiarity with Coulomb's Law and its application to point charges
  • Knowledge of electric field lines and their representation
  • Basic principles of charge interaction (attraction and repulsion)
NEXT STEPS
  • Study the principles of superposition in electric fields
  • Learn about vector addition of electric fields from multiple point charges
  • Explore the concept of electric field lines and their significance
  • Investigate the effects of placing different charges at the origin on the electric field
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone interested in understanding electric fields and charge interactions.

rcmango
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Homework Statement



Point charges +q and -q are placed at +50 cm and -50 cm on the x-axis, respectively. Is the electric field at the origin (halfway between the charges) zero or nonzero? If nonzero, which direction does it point?

Homework Equations





The Attempt at a Solution



If they were like charges, both positive, then I would say the electric field would be 0. I'm not sure because they are opposite polarities. Please help.
 
Physics news on Phys.org
Try to think of the electric field lines; if you drew them what would they look like?
 
What would happen if I were to place a charge of -q at the origin?
How about +q? Would you agree that they would move? What does
this say?
 

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