In a uniform electric field, the voltage between two points separated by distance d along the field is equal to:

In a uniform electric field, the voltage between two points separated by distance d along the field is equal to:

• A. q0 E d
• B. E / d
• C. E d
• D. V / q0

Answer: (D)

In a uniform electric field, the voltage (potential difference) between two points is the line integral of the electric field along the path connecting them: ΔV = -∫ E · dl. If the field is uniform and the separation d is along the field, E is constant and parallel to dl, so ∫ E · dl = E d. This gives ΔV = - E d. The magnitude of the voltage difference is E d, with the sign determined by direction: moving with the field lowers the potential by E d, moving against it raises it by E d. The expression involving q0 would represent work on a charge (q0 ΔV = work), not voltage itself, and the other forms do not have the correct dimensions or meaning.

In a uniform electric field, the voltage (potential difference) between two points is the line integral of the electric field along the path connecting them: ΔV = -∫ E · dl. If the field is uniform and the separation d is along the field, E is constant and parallel to dl, so ∫ E · dl = E d. This gives ΔV = - E d. The magnitude of the voltage difference is E d, with the sign determined by direction: moving with the field lowers the potential by E d, moving against it raises it by E d. The expression involving q0 would represent work on a charge (q0 ΔV = work), not voltage itself, and the other forms do not have the correct dimensions or meaning.