A dipole of dipole moment $\vec{p} = 2 \hat{i} - 3 \hat{j} + 4 \hat{k}$ is placed at point A(2,–3,1). The electric potential due to this dipole at the point B(4,–1,0) is equal to (All the parameters specified here are in S.I. units) ___ × 10⁹ volts

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answer is B.

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Detailed Solution

$V = \frac{k \vec{p} \cdot \vec{r}}{r^{3}} = \frac{(9 \times 10^{9}) (2 \hat{i} - 3 \hat{j} + 4 \hat{k}) . (2 \hat{i} + 2 \hat{j} - 1 \hat{k})}{27} = - 2 \times 10^{9} V$

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