From my perception of electric potential it is the work done per unit +ve test charge on a +ve test charge when it is moved from infinity to a point P in the field. Is this true only for positive charges giving rise to fields?
Take a negative charge which has a radial field which is directed inwards. Surely no work is done when moving a +ve test charge from infinity to a point inside the field, surely work is done when the charge is moved away from the central charge towards infinity?
So is this why negative potentials are defined to be negative; because the +ve test charge gains potential energy when moving away towards infinity?