Finding out if work is done with between two points with same electric potential

[ehsan23]

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?

 

[gneill]

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?

What do you think? Can you imagine scenarios that support or contradict your propositions?

 

[ehsan23]

i don't think it is true because you would need a force to move your charge

 

[gneill]

Suppose you could make the mass of a charged particle as small as you like, and that you are allowed to move it as slowly as you wish, so the only significant forces you have to deal with are electrical forces.