Two point charges \( +Q \) each have been placed at the positions \( (-a / 2,0,0) \) and \( (a /...

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Two point charges \( +Q \) each have been placed at the positions \( (-a / 2,0,0) \) and \( (a / 2,0,0) \). The locus of the points where \( -Q \) charge can be placed such that total electrostatic potential energy of the system can become equal to zero, can be represented by which of the following equations?
(1) \( z^{2}+(y-a)^{2}=2 a \)
(2) \( z^{2}+(y-a)^{2}=27 a^{2} / 4 \)
(3) \( z^{2}+y^{2}=15 a^{2} / 4 \)
(4) None of these
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