A positive electric charge is moved at a constant speed between two locations in an electric field, with no work done by or against the field at any time during the motion. This situation can occur only if the

The options are

A) charge is moved in the direction of the field

(B) charge is moved opposite to the direction of the field

(C) charge is moved perpendicular to an equipotential line

(D) charge is moved along an equipotential line

(E) electric field is uniform

The answer is (D) charge is moved along an equipotential line

For all the criteria in the question to be met it means that the motion is perpendicular to the field and the force is perpendicular to the displacement of the charge respectively. In this scenario,

Change in velocity is zero. Work can be calculated by multiplying charge and change in velocity which when calculated will give zero.