can an electric field exist at a point where the electrical potential there is zero?

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can an electric field exist at a point where the electrical potential there is zero? 0 v=integral of E.dl

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Yes. 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 $0$ (the electric potential is also $0$ in the infinite) but in that point the electric field vector is not null.

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.