Does Zero Electric Potential Necessarily Mean Zero Electric Field?

[pinkerpikachu]

1. If V= 0 at a point in space, must E=0 there? If E=0 at some point must V=0 at that point? And examples for each?


I'm pretty confused on both parts. I haven't really been understanding much of this electric charge/electric field stuff.

I know, just from an equation at V= -Ed, but I don't quite understand this conceptually.

 

[rl.bhat]

When the electric field is not uniform, the electric potential at any point is given be
E = - dV/dx i.e. negative tare of change of potential.
If V is zero E must be zero. If E = 0, V may be zero or a constant.