Q. Three point charges and are placed at points and , ), respectively. The magnitude and direction of the electric dipole moment vector of this charge assembly are

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Solution:

Electric dipole moment is a vector quantity directed from negative charge to the similar positive charge. Choose the three coordinate axes as and and plot the charges with the given coordinates as shown. is the origin at which charge is placed. The system is equivalent to two dipoles along and -directions, respectively. The dipole moments of two dipoles are shown in figure.
image
The resultant dipole moment will be directed along where . The magnitude of resultant dipole moment is