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Charges $q$, $q$, and $-2q$ are placed at the corners of an equilateral triangle $ABC$ of side $l$. The magnitude of the electric dipole moment of the system is

1. $ql$
2. $2ql$
3. $3ql$
4. $4ql$

Correct answer: $3ql$

Solution

For a neutral system, the dipole moment is the vector sum $\vec p = \sum q_i \vec r_i$. Taking coordinates for the equilateral triangle and adding the contributions gives a resultant magnitude of $3ql$.

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