Electric charges q, q, -2,q are placed at comers of an equilateral triangle ABC of side l . ma

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1. Electric Charges and Fields

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

A

$ql$

B

$2\,ql$

C

$\sqrt 3 \,ql$

D

$4\,ql$

Solution

$\mathrm{p}_{\mathrm{net}}=\sqrt{\mathrm{p}^{2}+\mathrm{p}^{2}+2 \mathrm{pp} \cos 60^{\circ}}=\sqrt{3} \mathrm{p}=\sqrt{3} \mathrm{q} l$

$(\because \mathrm{p}=\mathrm{q} l)$

Standard 12

Physics

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