A uniform electric field, with a magnitude of 500 V/m, is points in the +x direction. If the potential at x = 5.0 m is 2500 V, what is the potential at x = 2.0 m?

Question

Quizplus · Accepted Answer

We can use the formula for electric potential in a uniform electric field:

V = V₀ + Ed

where V₀ is the potential at a reference point (in this case, we'll choose x = 0), E is the magnitude of the electric field, and d is the distance from the reference point.

Plugging in the given values, we get:

V = 2500 V + (500 V/m)(-3 m)

Notice that we use -3 m instead of +2 m, since we're measuring the distance from x=0.

Simplifying, we get:

V = 1000 V

So the potential at x=2.0 m is 1.0 kV. The answer is D.

A Uniform Electric Field, with a Magnitude of 500 V/m