Electric field and potential at a point

AI Thread Summary
The statement that if electric potential at a point is zero, then the electric field at that point is zero is false. Examples, such as the electric potential due to a dipole on its perpendicular bisector, illustrate that potential can be zero while the electric field is not. Additionally, inside a perfect conductor, there is no electric field, but the potential can still be non-zero. The discussion confirms that the answer to the original question is indeed false. Overall, the relationship between electric potential and electric field is nuanced and context-dependent.
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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