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Find the expression for the potential energy of a system of two point charges q1 and q2 located
at r1 r2, respectively in an external electric field E .

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The potential energy of a system of two point charges q1? and q2?, located at positions r1 and r2?, in an external electric field E is the sum of two components:

U_{\text {interaction }}=\frac{k_e q_1 q_2}{\left| r _{ 1 }- r _{ 2 }\right|}

U_{\text {external }}=-q_1 E \cdot r _{ 1 }-q_2 E \cdot r _{ 2 }

U_{\text {total }}=\frac{k_e q_1 q_2}{\left| r _{ 1 }- r _{ 2 }\right|}-q_1 E \cdot r _{ 1 }-q_2 E \cdot r _{ 2 }

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Divya Sharma

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