Physics: The electric potential in a reion of uniform electric field is ...?

Question

The electric potential in a reion of uniform electric field is -1000 V at x=-1.0m and +1000 at x=+1.0m. What is E(x)?

I assume you use V=Ed, but not sure how to go by it.

help!

Answer 1

Perhaps writing the formula as ΔV = EΔd will clarify this. ΔV is the voltage difference between the two points separated by Δd. So E(x) = ΔV/Δd(x) = +2000 V/+2 m = +1000 V/m. Inclusion of sign is important because E is a vector quantity; its sign indicates direction.