Electric field and potential at a point

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SUMMARY

The assertion that if electric potential at a point is zero, then the electric field at that point is also zero is definitively false. This conclusion is supported by examples such as the electric potential due to a dipole at a point on its perpendicular bisector, where the potential is zero but the electric field is not. Additionally, within a perfect conductor, while there is no electric charge and no electric field, the electric potential can still be non-zero. Therefore, the correct answer to the original question is false.

PREREQUISITES
  • Understanding of electric potential and electric field concepts
  • Familiarity with dipole electric fields
  • Knowledge of electrostatics and conductors
  • Basic principles of electromagnetism
NEXT STEPS
  • Study the relationship between electric potential and electric field in electrostatics
  • Explore the behavior of electric fields around dipoles
  • Investigate the properties of perfect conductors in electrostatic equilibrium
  • Learn about the mathematical formulation of electric potential and field equations
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Students of physics, electrical engineers, and anyone interested in understanding the principles of electromagnetism and electrostatics.

Amith2006
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1)Say whether true or false:
If electric potential at a point is zero, then the electric field at that point is zero.

I think the answer is false because the electric potential due to a dipole at a point on its perpendicular bisector is zero but the field is not zero. Is it right?
 
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Yes. There are tons of examples - take a perfect conductor for instance. Inside the conductor there is no electric charge and no field. But the potential is not zero at all. So False.
 
Thanks for the guidance.
 
HalfManHalfAmazing said:
take a perfect conductor for instance. Inside the conductor there is no electric charge and no field. But the potential is not zero at all.
That is not an appropriate example. The question asks if the field is zero when the potential is zero, not the other way.

But 'False' is still the correct answer to the question. :)
 

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