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Q. charges are placed each at a distance 'a' from origin. The dipole moment of configuration is:
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Electric Charges and Fields

Solution:

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Here $\,\,\,\, p _{ x }=0$
and $\,\,\,\, p _{ y }=2 qa$
$\therefore \left| p _{2}\right|=\left| p _{3}\right|$
$\&\left|\vec{ p }_{1}\right|=\left|\vec{ p }_{4}\right|$
$\Rightarrow \vec{ p }_{ net }=2 qa \hat{j}$