Three point charges of + 2q, + 2q and - 4q are placed at the corners A, B and C of an equilateral triangle ABC of side 'x'. The magnitude of the electric dipole moment of this system is

Question

Three point charges of + 2q, + 2q and - 4q are placed at the corners A, B and C of an equilateral triangle ABC of side 'x'. The magnitude of the electric dipole moment of this system is (A) 2 qx (B) 2 √3 qx (C) 3 √2 qx (D) 3 qx

Tardigrade Admin · Accepted Answer

According to question.
The magnitude of electric dipole moment

P_{net} = p^{2} + p^{2} + 2 pp cos 6 0^{\circ}

= 2 p^{2} + 2 p^{2} \times \frac{1}{2}

= 3 \cdot p

We know that,

p = 2 q \cdot x

[∵ p = q \cdot I]

= 3 \cdot 2 q x = 23 q x

Q. Three point charges of $+ 2 q, + 2 q$ and $- 4 q$ are placed at the corners $A, B$ and $C$ of an equilateral triangle $A BC$ of side $^{'} x^{'}$ . The magnitude of the electric dipole moment of this system is

$2 q x$

$23 q x$

$32 q x$

$3 q x$

According to question.
The magnitude of electric dipole moment

$P_{net} = p^{2} + p^{2} + 2 pp cos 6 0^{\circ}$
$= 2 p^{2} + 2 p^{2} \times \frac{1}{2}$
$= 3 \cdot p$
We know that, $p = 2 q \cdot x$
$[∵ p = q \cdot I]$
$= 3 \cdot 2 q x = 23 q x$

Q. Three point charges of +2q,+2q and −4q are placed at the corners A,B and C of an equilateral triangle ABC of side ′x′. The magnitude of the electric dipole moment of this system is

2qx

23​qx

32​qx

3qx