How do we pick where to set electric potential equal to zero?

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SUMMARY

The discussion addresses the selection of reference points for setting electric potential to zero in electrostatics. It emphasizes that the choice is arbitrary and typically made at infinity or at the origin, depending on the charge configuration. For infinite charged objects, such as an infinite plane, the potential does not diminish at infinity, making it practical to assign zero potential at the location of the charged object instead. The key takeaway is that the reference point for electric potential is chosen to simplify calculations and is not inherently defined by the physical properties of the system.

PREREQUISITES
  • Understanding of electric potential and electric fields
  • Familiarity with integration in the context of electrostatics
  • Knowledge of charge configurations and their effects on potential
  • Concept of reference points in physics
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  • Study the concept of electric potential in various charge configurations
  • Learn about the mathematical integration of electric fields to derive potential
  • Explore the implications of infinite charge distributions on electric potential
  • Investigate practical applications of electric potential in circuit design
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Students of physics, electrical engineers, and anyone interested in understanding electrostatics and electric potential calculations.

jerro
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Sometimes we set potential to equal zero at infinity, other times at the origin. What's the general rule of thumb here-how do I know which to choose when doing a problem?
 
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You generally pick a point where the potential is zero. Infinity usually works, but the potential may not go to zero at infinity if the charged object is infinitely large. Think how the electric field does not diminish as you travel away from an infinite charged plane.
 
aftershock said:
You generally pick a point where the potential is zero.
With respect, the only reason for potential being zero at any point is because you've chosen it to be so. Specifically, you choose the arbitrary constant when you integrate the field strength due to the charge configuration in such a way as to make the potential zero at a point of your choice. Choosing that point to be a very way from your charge configuration ('at infinity') makes formulae for potential easier than otherwise.

The example of the infinite plate is interesting. A point 'at infinity' has no meaning in this case. Might as well call the plate's potential zero. But note that there are no infinite plates in practice!
 

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