What is the electric field strength in the space where electric potential is constant everywhere?

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.

What is the SI unit of electric field intensity?

Consider a uniform electric field in the z direction. The potential is a constant:

What is SI unit of electric potential?

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?

Discuss the variation of electric field strength and electric potential due to a charged spherical conduting shell when we move from infinity to the centre of the shell.

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