Question 29

Three charges+ 2q, +3q and -4q are situated at (0, -3a), (2a, 0) and (-2a, 0) respectively in the x y plane. The resultant dipole moment about origin is ___ .

Solution

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Dipole moment: $\vec{p} = \sum q_i \vec{r}_i = 2q(0,-3a) + 3q(2a,0) + (-4q)(-2a,0) = (0,-6qa) + (6qa,0) + (8qa,0) = (14qa, -6qa) = 2qa(7\hat{i}-3\hat{j})$.

The answer is Option 2: $2qa(7\hat{i}-3\hat{j})$.

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