JEE MAIN - Physics (2019 - 12th January Morning Slot - No. 16)

Determine the electric dipole moment of the system of the three charges, placed on the vertices of an equilateral triangle, as shown in the figure :

JEE Main 2019 (Online) 12th January Morning Slot Physics - Electrostatics Question 177 English
$$2q\ell \widehat j$$
$$\left( {q\ell } \right){{\widehat i + \widehat j} \over {\sqrt 2 }}$$
$$\sqrt 3 \,q\ell {{\widehat j - \widehat i} \over {\sqrt 2 }}$$
$$ - \sqrt 3 \,q\ell \widehat j$$

Explanation

JEE Main 2019 (Online) 12th January Morning Slot Physics - Electrostatics Question 177 English Explanation
$$\left| {{P_1}} \right| = $$ q(d)

$$\left| {{P_2}} \right| = $$ qd

|Resultant| $$=$$ 2 P cos30o

     2 qd$$\left( {{{\sqrt 3 } \over 2}} \right)$$ = $$\sqrt 3 $$ qd

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