The distance between charges + q and - q is 2 l and between + 2 q and - 2 q is 4 l . The electrostatic…

The distance between charges +q and -q is 2l and between +2q and -2q is 4l. The electrostatic potential at point P at a distance r from centre O is -αqlr2×109 V, where the value of α is ______. (Use 14πε0=9×109 N m2 C-2)

Solution

Considering two dipoles with charges $2q$ and $q$, we can write the equivalent setup as shown below:

Therefore, net dipole moment is Pnet=6ql in the leftward direction.

Potential required, 

V=Kp·rr3=9×1096qlr2cos120o

=27qlr2×109

Therefore, α=27.

Asked in: JEE Main 2024 (31 Jan Shift 2)

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