Six negative equal charges are placed at the vertices of a regular hexagon. 6q charge is placed at the centre of the hexagon. Find the electric dipole moment of the system.

Question

Six negative equal charges are placed at the vertices of a regular hexagon. 6q charge is placed at the centre of the hexagon. Find the electric dipole moment of the system. <img class="img-fluid question-image" alt="Question" src="https://cdn.tardigrade.in/q/nta/p-yskl9aap3tcb6foy.jpg" /> (A) zero (B) 6qa (C) 3qa (D) qa

Tardigrade Admin · Accepted Answer

This system is a combination of six equal dipoles each of dipole moment p0=qa <img class="img-fluid question-image" alt="Solution" src="https://cdn.tardigrade.in/q/nta/p-yskl9aap3tcbqzt4.jpg" /> From the polygon law of vector, Sigma overset arrow textp = 0

Q. Six negative equal charges are placed at the vertices of a regular hexagon. $6 q$ charge is placed at the centre of the hexagon. Find the electric dipole moment of the system.

zero

$6 q a$

$3 q a$

$q a$

This system is a combination of six equal dipoles each of dipole moment $p_{0} = q a$

From the polygon law of vector,

$Σ p \to = 0$

Q. Six negative equal charges are placed at the vertices of a regular hexagon. 6q charge is placed at the centre of the hexagon. Find the electric dipole moment of the system.