Three point charges +q, -2q and +q are placed | vedclass

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(B) The charge $-2q$ can be considered as two charges of $-q$ each at the origin $(0, 0, 0)$.This allows us to form two electric dipoles:$1$. $A$ dipo

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$\sqrt{2}qa$ along the line joining points $(x = 0, y = 0, z = 0)$ and $(x = a, y = a, z = 0)$

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(B) The charge $-2q$ can be considered as two charges of $-q$ each at the origin $(0, 0, 0)$.This allows us to form two electric dipoles:$1$. $A$ dipole with charges $+q$ at $(0, a, 0)$ and $-q$ at $(0, 0, 0)$. Its dipole moment is $\vec{p}_1 = q(a\hat{j}) = qa\hat{j}$.$2$. $A$ dipole with charges $+q$ at $(a, 0, 0)$ and $-q$ at $(0, 0, 0)$. Its dipole moment is $\vec{p}_2 = q(a\hat{i}) = qa\hat{i}$.The net dipole moment is $\vec{p}_{net} = \vec{p}_1 + \vec{p}_2 = qa\hat{i} + qa\hat{j}$.The magnitude is $|\vec{p}_{net}| = \sqrt{(qa)^2 + (qa)^2} = \sqrt{2}qa$.The direction is at an angle of $45^{\circ}$ with the $x$-axis,which is along the line joining $(0, 0, 0)$ and $(a, a, 0)$.

Three point charges $+q, -2q$ and $+q$ are placed at points $(x = 0, y = a, z = 0)$,$(x = 0, y = 0, z = 0)$ and $(x = a, y = 0, z = 0)$ respectively. The magnitude and direction of the electric dipole moment vector of this charge assembly are

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