Work in moving through zero potential difference

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Discussion Overview

The discussion revolves around the concept of work done by an electric field when moving a positive charge from infinity to a point where the net electric field is zero, specifically between two positive charges. It explores the relationship between electric field, potential difference, and work in this context.

Discussion Character

  • Conceptual clarification, Debate/contested

Main Points Raised

  • One participant suggests that moving a positive charge to a point with zero electric field means zero work is done due to no potential difference.
  • Another participant counters that the electric field is only zero at that specific point, and work is done by the electric field at other points along the path where the field is non-zero.
  • A later reply indicates that the charge would have a positive voltage at the point between the two positive charges.
  • Another participant agrees with the assumption of zero voltage at infinity, which supports the previous points made.

Areas of Agreement / Disagreement

Participants express differing views on the nature of work done by the electric field during the charge's movement, indicating that the discussion remains unresolved regarding the implications of potential difference and work in this scenario.

Contextual Notes

The discussion involves assumptions about electric fields and potential differences, particularly the behavior of the electric field along the path of the charge and the definition of voltage at infinity.

UMath1
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If I were to move a positive charge from infinity to a location between two positive charges where the net electric field is zero, the electric field would do zero work because there is no potential difference right? I am confused about why this is though. As you move the charge from infinity, the electric field will always point in the direction opposing the charge's motion. Doesn't the electric field then do negative work?
 
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UMath1 said:
If I were to move a positive charge from infinity to a location between two positive charges where the net electric field is zero, the electric field would do zero work because there is no potential difference right?
No. The electric field is only zero at that one point along that path. At all other points along that path there is an electric field, it does work, and there is a changing potential.
 
I see. That is because the charge would possesses a positive voltage at the point between the two positive charges, right?
 
Yes, assuming zero voltage at infinity.
 
Thanks. That makes more sense.
 

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