When is electric potential negative and when is it positive?

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SUMMARY

The discussion clarifies the conditions under which electric potential is considered negative or positive. Electric potential, denoted as V, is influenced by the reference point defined as zero potential. When moving a charge in the same direction as the electric field, the potential decreases, but this does not inherently determine its sign. Typically, if the potential is defined at infinity, a positive charge results in a positive potential, while a negative charge yields a negative potential.

PREREQUISITES
  • Understanding of electric fields and forces
  • Familiarity with the concept of electric potential and potential difference
  • Knowledge of the equation V = Es
  • Basic grasp of charge properties (positive and negative)
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  • Study the relationship between electric potential and electric fields in detail
  • Learn about the concept of reference points in electric potential
  • Explore the implications of potential energy in electric fields
  • Investigate the mathematical derivation of electric potential from electric field equations
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Students studying electromagnetism, physics educators, and anyone seeking to deepen their understanding of electric potential and its behavior in electric fields.

mariya259
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Homework Statement



When is electric potential negative and when is it positive?

Homework Equations



V=Es

The Attempt at a Solution



I first thought that when you are moving in the same direction as the electric field the electric potential will be a positive value.
However I across a problem in which you are moving a charge in the positive x direction the electric field is also in the positive x direction, and yet the answer is a negative value.

Can someone please help and explain this to me in easy terms? I searched for an answer, but I am still confused.

Thank you!
 
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Be careful with the term "potential". Potential really involves a change in potential difference. So the potential you measure for a certain object depends on where the potential is defined to be zero -- the potential of the object is really a change in the potential from this reference point to the object's location. In this case, the potential and the potential difference have the same value, so you can just use the absolute potential instead.


So really the potential of something depends on where potential is defined to be zero. With your idea of moving in the same direction as the electric field (look at your equation though -- there should be a negative in there), the potential is going to decrease if you follow a field line, but it won't necessarily be negative or positive.

If you have potential defined at infinity (as it typically is), then the potential of something will be positive if it has positive charge (because following a field line would lead outward toward zero, so you have to start at something positive), and the potential of something will be negative if it has negative charge (by the same idea).
 

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