Final answer:
Work done to move a charge from point A to point B without acceleration depends on the force and displacement; it can be negative if the charge moves against the electric field. The work is related to potential energy changes, with more work needed as charges on plates increase due to repulsion.
Step-by-step explanation:
The work required to move a charge from point A to point B without accelerating depends on the electric field and the path taken by the charge. If the work done is only related to changing the potential energy without increasing kinetic energy, it may be considered negative work when the force exerted by the electric field and the displacement of the charge are in opposite directions.
According to physics, work is done when a force causes displacement. When a battery transfers energy to charge plates positively and negatively, the amount of work to separate these charges from a neutral state increases with every charge added due to electric repulsion. This concept also applies when considering the electrical potential energy of two point charges, which can be either positive or negative depending on whether the charges are of the same or opposite signs. The work done in moving a charge in an electric field is related to the change in electrical potential energy, with the work done by the battery being equal to the increase in potential energy of the charges.