Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
A positive charge and a negative charge of the same size are each released from rest in a uniform electric field. (a) In which direction does each one move? (b) What happens to the potential energy of each one? (c) Does each of them gain the same kinetic energy in moving through the same potential difference?
The work to carry a charge slowly from A to B is , and the potential energy is . Between large plates . A charge that falls through a potential difference gains the kinetic energy , so . .
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. The directions. The positive charge moves along the field, towards lower potential. The negative charge moves against the field, towards higher potential.
Step 2. The potential energy. Each charge moves the way that lowers its potential energy . For the positive charge this means a fall in . For the negative charge is negative, so falls when rises. So the potential energy falls for both.
Step 3. The kinetic energy. Each charge gains kinetic energy equal to the potential energy lost, which is times the size of the potential difference. For charges of the same size and the same potential difference, the gains are equal.
Answer: the positive charge goes along the field and the negative charge goes against it. The potential energy of each falls, and each gains the same kinetic energy.
Watch out. It is wrong to say that every charge moves to lower potential. Only a positive charge does that.
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