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Q.

Find the electrostatic potential energy of the system of charges as shown in figure

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a

$\frac{1}{4 π \in_{0}} \frac{31 Q^{2}}{d}$

b

$\frac{1}{4 π \in_{0}} \frac{18 Q}{d}$

c

$\frac{1}{4 π \in_{0}} \frac{18 Q^{2}}{d}$

d

$\frac{1}{4 π \in_{0}} \frac{31 Q}{d}$

answer is A.

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Detailed Solution

$U = \frac{1}{4 π ε_{0}} [\frac{q_{1} q_{2}}{r_{1}} + \frac{q_{2} q_{3}}{r_{2}} + \frac{q_{1} q_{3}}{r_{3}}]$

Substituting the values

$U = \frac{1}{4 π \in_{0}} \frac{31 Q^{2}}{d}$

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