Question

In a certain region of space, the electric field is zero. From this fact, what can you conclude about the electric potential in this region?

Answer 1

The electric filed is expressed as,

$E = \frac{dV}{dx}$ Where V is the electric potential.

If electric field is zero, Obviously from the equation , $\frac{dV}{dx} = 0$

i.e Electric potential V is constant in that region.