Electric charges q, q, -2q are placed at the | vedclass

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(C) The charge $-2q$ at corner $C$ can be considered as two charges of $-q$ each. One $-q$ charge at $C$ forms a dipole with $+q$ at $A$ (dipole momen

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$\sqrt{3}ql$

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(C) The charge $-2q$ at corner $C$ can be considered as two charges of $-q$ each. One $-q$ charge at $C$ forms a dipole with $+q$ at $A$ (dipole moment $\vec{p}_1$ from $C$ to $A$,magnitude $p = ql$). The other $-q$ charge at $C$ forms a dipole with $+q$ at $B$ (dipole moment $\vec{p}_2$ from $C$ to $B$,magnitude $p = ql$). The angle between these two dipole moments $\vec{p}_1$ and $\vec{p}_2$ is $60^{\circ}$. The net dipole moment is given by: $p_{net} = \sqrt{p^2 + p^2 + 2pp \cos 60^{\circ}}$ $p_{net} = \sqrt{2p^2 + 2p^2(1/2)} = \sqrt{3p^2} = \sqrt{3}p$ Substituting $p = ql$,we get $p_{net} = \sqrt{3}ql$.

Electric charges $q, q, -2q$ are placed at the corners of an equilateral triangle $ABC$ of side $l$. The magnitude of the electric dipole moment of the system is

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