Question

If 10. joules of work must be done to move 2.0 coulombs of charge from point A to point B in an electric field, the potential difference between points A and B is

Answer 1

The equation for work (W) done by an electric field is:

W = qΔV

where q is the magnitude of the charge and ΔV is the potential difference. The question gives you W and q, so plug n' play to find ΔV:

10 = 2ΔV
ΔV = 5