The distance between charges + q and - q is 2 l and between + 2 q and - 2 q is 4 l . The electrostatic potential at point P at a distance r from centre O is - α q l r 2 × 10 9 V , where the value of α is ______. (Use 1 4 π ε 0 = 9 × 10 9 N

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The distance between charges + q and - q is 2 l and between + 2 q and - 2 q is 4 l . The electrostatic potential at point P at a distance r from centre O is - α q l r 2 × 10 9 V , where the value of α is ______. (Use 1 4 π ε 0 = 9 × 10 9 N m 2 C - 2 )

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Considering two dipoles with charges 2 q & q , we can write the equivalent setup as shown below: Therefore, net dipole moment is P n e t = 6 q l in the leftward direction. Potential required, V = K p → · r → r 3 = 9 × 10 9 6 q l r 2 cos 120 o = − 27 q l r 2 × 10 9 Therefore, α = 27 .

The distance between charges + q and - q is 2 l and between + 2 q and - 2 q is 4 l . The electrostatic potential at point P at a distance r from centre O is - α q l r 2 × 10 9 V , where the value of α is ______. (Use 1 4 π ε 0 = 9 × 10 9 N m 2 C - 2 )

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