Question: (a) If the potential (relative to infinity) is zero at a point, is the electric field necessarily zero at that point? (b) If the electric

(a) If the potential (relative to infinity) is zero at a point, is the electric field necessarily zero at that point?

(b) If the electric field is zero at a point, is the potential (relative to infinity) necessarily zero there? Prove your answers, using simple examples.

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