Final answer:
The change in potential is equal to the potential difference between A and B. The formula for potential difference is VB - VA. The change in potential is equal to the change in potential energy divided by the charge, or AU = qAV.
Step-by-step explanation:
The change in potential that a particle with charge q undergoes when moved from point A to point B is equal to the potential difference between A and B. This can be calculated by subtracting the potential at point A from the potential at point B. The formula for potential difference is VB - VA.
In the context of electric fields, the work done by the electric field in moving a positive charge q from a higher potential (point A) to a lower potential (point B) is given by the equation: W = -AU = -qAV.
Therefore, the change in potential that the particle undergoes is equal to the change in potential energy divided by the charge, or AU = qAV. The units of potential difference are joules per coulomb, or volts (V).