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Q.

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?

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a

z2+(y−a)2=2a

b

z2+(y−a)2=27a2/4

c

z2+y2=15a2/4

d

none of these

answer is C.

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Detailed Solution

As in none of the options, the x-coordinate appears, so we have to find the locus in the yz plane.U=kQ2r1−kQ2r2−kQ2r3=0 kQ21a−1(a/2)2+y2+z2−1(a/2)2+y2+z2=0 1a=2a2/4+y2+z2 or y2+z2=15a2/4

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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?