I have a few questions about electric potential and electric fields. If two points have the same electric potential, is it true that no work is required to move a test charge from one point to the other? Does that mean that no force is required as well? Also, How much work is required to move a charged particle through an electric field if it moves along a path that is always perpendicular to an electric field line? How would the potential change along such a path? Thanks in advance!