ElectrostaticsHard

Question

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

Options

A.$2qa(3\widehat{j} - \widehat{i})$
B.$2qa(3\widehat{i} - 7\widehat{j})$
C.$2qa(7\widehat{i} - 3\widehat{j})$
D.$2qa(3\widehat{j} - 7\widehat{i})$

Solution

$$\begin{matrix} & \overrightarrow{p} = q_{1}{\overrightarrow{r}}_{1} + q_{2}{\overrightarrow{r}}_{2} + q_{3}{\overrightarrow{r}}_{3} \\ & \overrightarrow{p} = (2q)( - 3a)\widehat{j} + (3q)(2a)\widehat{i} + ( - 4q)( - 2a)\widehat{i} \\ & \overrightarrow{p} = 2qa(7\widehat{i} - 3\widehat{j}) \end{matrix}$$

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