Zero Electric potential and null electric field

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SUMMARY

The statement "If the electric potential is zero in some point of space, then the electric field in that point should be null" is false. In the example provided, two charges, +5C and -4C, create a scenario where the electric potential is zero at a specific point between them, yet the electric field is not null. The electric field is derived from the gradient of the electric potential, indicating that a zero potential does not equate to a zero electric field.

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  • Understanding of electric potential and electric field concepts
  • Familiarity with Coulomb's law and charge interactions
  • Basic knowledge of calculus, specifically derivatives
  • Concept of electric field lines and their representation
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fmilano
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Hi,


I've this true/false statement: "If the electric potential is zero in some point of space, then the electric field in that point should be null"

I think this statement is false: the electric field might be generated for example by two charges: +5C and -4C separated by 2 meters. There is a point in between them where the potential is zero (the electric potential is also zero in the infinite) but in that point the electric field vector is not null.

Am I right? I would really appreciate any help

Thanks,

Federico
 
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That is correct. The electric field is related to the derivative of the electric potential so you can draw an analogy to a particle which is undergoing some acceleration. Just because the velocity is zero at some point does not mean that the particle is not accelerating at that point.
 

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