Question

if E is zero everywhere along a certain path that leads from point A to point B. what is the potential difference between those two points?
does that mean E is zero everywhere along that path ?​

Answer 1

Answer:

The potential difference will be zero.

Explanation:

Since the electric field intensity is zero, the voltage between two points will be zero.

E=V/r

V=Er

E=0, V=0×r

V=0

Answer 2

E is zero everywhere along that path.

Electric Potential is a relative quantity we always have potential difference at a point at which we are interested to find potential due to a change ( or distribution of charges) by comparison with potential at infinity.

If electric potential at point in the Electric field is zero it means that there is no increase and decrease in the electric field strength. There is a constant electric field strength overall that point or surface which ultimately leads to zero electric potential at that point or surface. By relation

E = - ∇V