Question:
Determine the electric dipole moment of the system of three charges, placed on the vertices of an equilateral triangle, as shown in the figure:
Determine the electric dipole moment of the system of three charges, placed on the vertices of an equilateral triangle, as shown in the figure:
Updated On: Apr 24, 2025
- $\left(ql \right)\frac{\hat{i} + \hat{j}}{\sqrt{2}}$
- $\sqrt{3}ql\frac{\hat{j} - \hat{I}}{\sqrt{2}}$
- $-\sqrt{3}ql\hat{j}$
- $2ql\hat{j}$
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The Correct Option is C
Solution and Explanation
$\left|P_{1}\right| =q\left(d\right) $
$ \left|P_{2}\right| =qd $
$\left|\text{Resultant}\right| = 2P \cos30^{\circ} $
$2qd \left(\frac{\sqrt{3}}{2}\right) =\sqrt{3} qd $
$ \left|P_{2}\right| =qd $
$\left|\text{Resultant}\right| = 2P \cos30^{\circ} $
$2qd \left(\frac{\sqrt{3}}{2}\right) =\sqrt{3} qd $
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Concepts Used:
Electric Dipole
An electric dipole is a pair of equal and opposite point charges -q and q, separated by a distance of 2a. The direction from q to -q is said to be the direction in space.
p=q×2a
where,
p denotes the electric dipole moment, pointing from the negative charge to the positive charge.
Force Applied on Electric Dipole
