In: Physics
Two particles each with charge +2.14
Electric potential for a particle charge, as in this exercise, is given by:
For this case, there are two charges with equal charge located at
-1 m and 1 m. The question is what will be the electric potential
on a point y = 0.350 m. This electric potential exists because of
the two charges, which will generate an electric field and will
generate an energy by charge. This last thing is what it is about.
So, this magnitude is scalar, which means that we can add them
easily:
distances between charges and the point y, are the same:
.
Replace those values and obtain V, electric potential.
Now if at a point in space you place a charge, this charge will have electric potential energy, which is diferent from electric potential. This energy can be transformed to kinetic energy, making the charge to move. This is a characteristic of electric forces with stationary charges, energy can be stored as potential energy. This energy can be written for point charges as:

where
,
, and
That's it! ;) I hope it is understandable. Good luck!