Electric charge Q, Q and -2 Q respectively are placed at the three comers of an equilateral triangle of side a. Magnitude of the electric dipole moment of the system is

Question

Electric charge Q, Q and -2 Q respectively are placed at the three comers of an equilateral triangle of side a. Magnitude of the electric dipole moment of the system is (A) √2 Qa (B) √3 Qa (C) Qa (D) 2 Q a

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/b21d2ee77d119637e21930d338522a28-.png" /> P1=Q . a P2=Q . a P=√P12+P22+2 P1 P2 cos θ PN=√3 Q . a

Q. Electric charge $Q, Q$ and $- 2 Q$ respectively are placed at the three comers of an equilateral triangle of side a. Magnitude of the electric dipole moment of the system is

$2 Q a$

$3 Q a$

$Q a$

$2 Q a$

$P_{1} = Q . a$
$P_{2} = Q . a$
$P = P_{1}^{2} + P_{2}^{2} + 2 P_{1} P_{2} cos θ$
$P_{N} = 3 Q . a$

Q. Electric charge Q,Q and −2Q respectively are placed at the three comers of an equilateral triangle of side a. Magnitude of the electric dipole moment of the system is

2​Qa

3​Qa

Qa

2Qa

P1​=Q.a P2​=Q.a P=P12​+P22​+2P1​P2​cosθ​ PN​=3​Q.a

Q. Electric charge $Q, Q$ and $- 2 Q$ respectively are placed at the three comers of an equilateral triangle of side a. Magnitude of the electric dipole moment of the system is

$2 Q a$

$3 Q a$

$Q a$

$2 Q a$

$P_{1} = Q . a$
$P_{2} = Q . a$
$P = P_{1}^{2} + P_{2}^{2} + 2 P_{1} P_{2} cos θ$
$P_{N} = 3 Q . a$