Question

determine the potential energy U (r) from a point charge Q at a point r a elestrostatic field E.

Answer 1

\[U(r)=\frac{ qQ }{ 4 \pi r \epsilon _{0} }\]Q and q : the charges of the 2 points.
ε0 : the vacuum permittivity (= 8.854 187 817 x 10^(−12) [F/m]) .

Answer 2

The question requires a conceptural answer without data.

Answer 3

The electrostatic potential energy is the energy associated with the interaction of Q with a point at a distance r. In other words, the charge Q will exert a force (attractive or repulsive) on any other closeby charge which will, therefore, create potential energy.

The electrostatic potential energy will equal zero when the other charge is infinitely far away (r->infty).