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

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Discussion Overview

The discussion revolves around the formulas for calculating work done when moving a positive charge within an electric field, specifically comparing two different expressions related to potential energy and electric potential. The scope includes conceptual clarification and technical reasoning regarding the correct application of these formulas.

Discussion Character

  • Debate/contested

Main Points Raised

  • One participant proposes that work done can be expressed as the difference in potential energy at points B and A, or as the difference in potential at A and B.
  • Another participant argues that the second formula is incorrect, asserting that the work done should consider the difference between final and initial potential, thus supporting the first formula as correct.
  • A third participant questions the validity of both formulas being correct for the same situation, suggesting that one must be wrong and highlighting the importance of direction in the change of potential.

Areas of Agreement / Disagreement

Participants do not reach a consensus, as there are competing views on the correctness of the two formulas presented. The discussion remains unresolved regarding which formula is appropriate.

Contextual Notes

The discussion does not clarify the assumptions underlying the formulas or the specific conditions under which each formula might apply. There is also a lack of resolution regarding the implications of directionality in the context of electric potential.

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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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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