Is electric potential conservative? yes.?

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Discussion Overview

The discussion revolves around the concept of electric potential and whether it can be classified as conservative. Participants explore definitions of "conservative" in the context of electric potential and its relationship to electrostatic fields.

Discussion Character

  • Debate/contested

Main Points Raised

  • Some participants assert that electric potential is conservative because electrostatic fields are conservative and can be represented as the gradient of a scalar potential.
  • Others question the meaning of "conservative" when applied to a scalar, seeking clarification on the definition being used.
  • One participant proposes that a conservative potential is one that gives rise to conservative force, while also noting that it is path independent and a function of coordinates.
  • Another participant challenges the definition of conservative potential, arguing that any single-valued scalar potential will yield a conservative field and that all scalars are inherently path independent.

Areas of Agreement / Disagreement

Participants express differing views on the definitions and implications of "conservative" in relation to electric potential, indicating that the discussion remains unresolved with multiple competing definitions and interpretations.

Contextual Notes

Limitations include varying interpretations of the term "conservative" and its application to scalar potentials, as well as the dependence on specific definitions that have not been universally agreed upon.

seto6
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is electric potential conservative?

is it correct?
 
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Electrostatic fields are conservative (a conservative field is one that can be represented as the gradient of some scalar potential). Electric potential is a scalar, so I'm not sure what you mean by conservative...what is a conservative scalar?
 
yes it is a scalar so is it conservative
 
What definition of "conservative" are you using?
 
gabbagabbahey said:
What definition of "conservative" are you using?
Conservative potential is a potential that gives rise to conservative force.

Alternatively, it's one that is path independent, and is simply a function of coordinate.
 
K^2 said:
Conservative potential is a potential that gives rise to conservative force.

That definition makes no sense. Any single-valued scalar potential will give rise to a conservative field.

Alternatively, it's one that is path independent, and is simply a function of coordinate.

All scalars are path independent.
 

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