Questions

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

detailed solution

Correct option is C

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

Similar Questions

We have an isolated conducting spherical shell of radius 10 cm. Some positive charge is given to it so that the resulting electric field has a maximum intensity of $1.8\times {10}^{6}\text{\hspace{0.17em}\hspace{0.17em}}N{C}^{-1}.$ The same amount of negative charge is given to another isolated conducting spherical shell of radius 20 cm. Now, the first shell is placed inside the second so that both are concentric as shown in figure.

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