An electron goes from one equipotential surface to another along one of the four paths shown below.Rank the paths according to the work done by the electric field, from least to greatest.

Question

Quizplus · Accepted Answer

The work done by the electric field is equal to the potential difference between the two equipotential surfaces multiplied by the charge of the electron. 
For paths 1, 3, and 4, the potential difference is the same since they connect the same two equipotential surfaces. 
For path 2, the potential difference is greater because it goes from a lower potential to a higher potential. 
Therefore, the path with the least work done is path 4, followed by path 2 and 3 (which tie because they have the same potential difference), and finally path 1. Therefore, the correct ranking is 4 and 2 tie, then 3, then 1.

An Electron Goes from One Equipotential Surface to Another Along