Question

If the electric potential at a certain point is zero, does the electric field at that point have to be zero? Explain. PS(please do not write the answer with handwriting)

Answer 1

Need not be, Electric field is zero when potential difference is zero.

Example:

If there is only a point charge, then the electric potential is conventionally zero at infinity. However, the thing with potential is that you can take it as zero anywhere and you would not be completely wrong.

What matters w.r.t. electric field is that ,

Electric Field = −1/q.dU/dx, where q is charge, U is potential and x is distance from charge.

Now, since U = 0 can be there without dU/dx=0, similarly U can be zero without electric field E being zero.