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# Four charges $q_1=1mC, q_2 = 2 mC, q_3 = –3 mC$ and $q_4 = 4 mC$ are kept on the vertices of a square of side 1 m. Find the electric potential energy of this system of charges.

$U= \large\frac{1}{4 \pi \in_0 r }$$[q_1q_2 +q_2 q_3 + q_4 q_1]+ \large\frac{1}{4 \pi \in_0 \sqrt {2r}} [q_1q_3+q_2q_4]$
$Y= -7.62 \times 10^{-2} J$
$q_1,q_2,q_3$ are $q_4$ taken with their sign.