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Question

Question: Electric charges \(q,q, - 2q\) are placed at the corners of an equilateral triangle \(ABC\) of side\...

Electric charges q,q,2qq,q, - 2q are placed at the corners of an equilateral triangle ABCABC of sidell. The magnitude of electric dipole moment of the system is

A

qlql

B

2ql2ql

C

3ql\sqrt{3}ql

D

4ql4ql

Answer

3ql\sqrt{3}ql

Explanation

Solution

pnet=p2+p2+2ppcos60=3p=3qlp_{net} = \sqrt{p^{2} + p^{2} + 2pp\cos 60{^\circ}} = \sqrt{3}p = \sqrt{3}ql ( p = ql)