The electric potential is constant in a region. What can you say about electric field there?

The electric potential is Constant in a region. What can you say about electric field threre?

Following are two statements about the relationship between the electric field an electric potential. If the electric potential is constant in a region, then the electric field is zero in that region. Giving example, predict whether these statements are correct or false.

In a certain 0.1 m^3 of space, electric potential is found to be 5 V throughout. What is the electric field in this region?

Following are two statements about the relationship between the electric field an electric potential. If the electric potential at a certain point is zero, then the electric field at the same point is also zero.

The electric potential at a point in the electric field is V. What is the electric potential energy of a charge q_0 placed at that point?

A point is in the XZ-plane. What can you say about its y-coordinate?