At a certain point in space, there is a potential of 800 V relative to zero. What is the potential energy of the system when a +1.0 μC charge is placed at that point in space?

To solve this problem we will apply the concepts related to electric potential and electric potential energy. By definition we know that the electric potential is determined under the function:

= Coulomb's constant

q = Charge

r = Radius

At the same time

The values of variables are the same, then if we replace in a single equation we have this expression,

If we replace the values, we have finally that the charge is,

Therefore the potential energy of the system is

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