Two charged particles, having equal charges of $2.0 imes 10^{-5} \mathrm{C}$ each, are brought fro

Question

Two charged particles, having equal charges of $2.0 	imes 10^{-5} \mathrm{C}$ each, are brought from infinity to within a separation of 10 cm . The change in the electric potential energy during the process is.

Professor PC Thomas Classes · Answer

$U\left(r_2ight)-U\left(r_1ight)=-W=\frac{q_1 q_2}{4 \pi \varepsilon_0}\left(\frac{1}{r_2}-\frac{1}{r_1}ight)$
$\begin{aligned} U(r) & =U(r)-U(\infty) \ & =\frac{q_1 q_2}{4 \pi \varepsilon_0}\left(\frac{1}{r}-\frac{1}{\infty}ight)=\frac{q_1 q_2}{4 \pi \varepsilon_0 r}\end{aligned}$