A system of three charges are placed as shown in the figure. If \(D > > d,\) the potential energy of the system is best given \(b\)

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Correct Answer

(B) \(\frac{1}{{4\pi {\varepsilon _0}}}\left[ { - \frac{{{q^2}}}{d} - \frac{{qQd}}{{{2D^2}}}} \right]\)

Step-by-step Solution

Detailed explanation

\(U_{total}\) \(=\) \(U_{self\,of\, dipole} + U_{interaction}\)

\(=-\frac{k q^{2}}{d}-\left(\frac{k Q}{D^{2}}\right) q d\)

\(=-k\left[\frac{q^{2}}{d}+\frac{q Q d}{D^{2}}\right]\)

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