Two equal charges q are placed at a distance of 2a and a third charge

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2. Electric Potential and Capacitance

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Two equal charges $q$ are placed at a distance of $2a$ and a third charge $ - 2q$ is placed at the midpoint. The potential energy of the system is

$\frac{{{q^2}}}{{8\pi {\varepsilon _0}a}}$

$\frac{{6{q^2}}}{{8\pi {\varepsilon _0}a}}$

$ - \frac{{7{q^2}}}{{8\pi {\varepsilon _0}a}}$

$\frac{{9{q^2}}}{{8\pi {\varepsilon _0}a}}$

Solution

(c) ${U_{system}} = \frac{1}{{4\pi {\varepsilon _0}}}\,\frac{{(q)\,( – 2q)}}{a} + \frac{1}{{4\pi {\varepsilon _0}}}\frac{{( – 2q)\,(q)}}{a} + \frac{1}{{4\pi {\varepsilon _0}}}\frac{{(q)\,(q)}}{{2a}}$
${U_{system}} = – \frac{{7\,{q^2}}}{{8\pi {\varepsilon _0}a}}$

Standard 12

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Two equal charges $q$ are placed at a distance of $2a$ and a third charge $ - 2q$ is placed at the midpoint. The potential energy of the system is

Solution

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