Work in moving through zero potential difference

[UMath1]

If I were to move a positive charge from infinity to a location between two positive charges where the net electric field is zero, the electric field would do zero work because there is no potential difference right? I am confused about why this is though. As you move the charge from infinity, the electric field will always point in the direction opposing the charge's motion. Doesn't the electric field then do negative work?

 

[Dale]

If I were to move a positive charge from infinity to a location between two positive charges where the net electric field is zero, the electric field would do zero work because there is no potential difference right?

No. The electric field is only zero at that one point along that path. At all other points along that path there is an electric field, it does work, and there is a changing potential.

 

[UMath1]

I see. That is because the charge would possesses a positive voltage at the point between the two positive charges, right?

 

[Dale]

Yes, assuming zero voltage at infinity.

 

[UMath1]

Thanks. That makes more sense.