Are Both Formulas for Work Done in an Electric Field Correct?

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SUMMARY

The discussion clarifies the correct formula for calculating work done in an electric field when moving a positive charge from point A to point B. The accurate formula is the difference in potential energy, expressed as "work done = potential energy at B - potential energy at A." The alternative formula, "potential at A - potential at B," is incorrect as it does not account for the work required to move the charge against the electric field. The distinction between these formulas is crucial for accurate calculations in electrostatics.

PREREQUISITES
  • Understanding of electric fields and potential energy
  • Familiarity with the concept of work in physics
  • Knowledge of charge movement in electric fields
  • Basic grasp of electrostatics principles
NEXT STEPS
  • Study the relationship between electric potential and electric field strength
  • Explore the concept of work-energy theorem in electrostatics
  • Learn about the implications of charge movement in varying electric fields
  • Investigate the mathematical derivation of work done in electric fields
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Students of physics, educators teaching electrostatics, and professionals working in electrical engineering or related fields will benefit from this discussion.

Suyash Singh
work done in taking positive charge from A to B in electric field E=
potential energy at B - potential energy at A
OR
potential at A-potential at B
Am i correct in both formula?
 
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No, your second formula is incorrect. Since we have to do work on the charge, we have to take difference of final potential to initial potential. Thus, your first formula is correct.
 
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Likes Suyash Singh
Suyash Singh said:
work done in taking positive charge from A to B in electric field E=
potential energy at B - potential energy at A
OR
potential at A-potential at B
Am i correct in both formula?
You are asking of both formulae are right for the same situation? I don't think you can mean that because one must be wrong. Do you need to reword your question? The change in potential is the opposite sign if the journey is in the other direction. (That's sort of obvious really)
 
thankyou.
 

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