# Zero Electric potential and null electric field

1. Dec 11, 2005

### fmilano

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

2. Dec 11, 2005

### dicerandom

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.