Electric Potential in a Region: Is it Zero or Nonzero?

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SUMMARY

The discussion centers on the relationship between electric potential and electric field in a given region of space. It is established that if the electric potential is constant throughout the region, the electric field must be zero. This conclusion is drawn from the principle that a uniform potential indicates no change in potential energy, resulting in no electric field. Warren clarifies that the initial assumption of the electric field being zero or nonzero everywhere was incorrect, reinforcing the concept that a constant potential directly correlates with a zero electric field.

PREREQUISITES
  • Understanding of electric potential and electric field concepts
  • Familiarity with electrostatics principles
  • Knowledge of potential difference and its implications
  • Basic grasp of vector fields in physics
NEXT STEPS
  • Study the relationship between electric potential and electric field in electrostatics
  • Explore Maxwell's equations and their implications for electric fields
  • Learn about equipotential surfaces and their characteristics
  • Investigate the concept of electric field lines and their representation
USEFUL FOR

Students of physics, educators teaching electrostatics, and anyone seeking to deepen their understanding of electric fields and potentials.

GreenDinos
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The potential is constant throughout a given region of space. Which of the following statements is true? Be sure you can justify your answer.

The electric field may have places where it is zero, and places where it is nonzero in this region.
The electric field is nonzero in this region.
The electric field is zero in this region.
The electric field may be zero or nonzero everywhere in this region.

Ok- so at first i thought the answer was that it was zero or nonzero everywhere since you can decide what to make the starting potential- since the electrical potential is just the difference. But this answer turned out to be wrong... now I'm thinking that the electric field is zero in the region since it is constant...?
 
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nevermind- i got it
 
If the potential is the same everywhere, then there can no field.

- Warren
 

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