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Question

# Three point charges +q,−2q and +q are placed at points (x=0, y=a, z=0), (x=0, y=0, z=0) and (x=a, y=0, z=0) respectively. The magnitude and direction of the electric dipole moment vector of this charge assembly are:

A
2qa along +y direction
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B
2qa along the line joining points (x=0, y=0, z=0) and (x=a, y=a, z=0)
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C
qa along the line joining points (x=0, y=0, z=0) and (x=a, y=a, z=0)
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D
2qa along +x direction
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Solution

## The correct option is B √2qa along the line joining points (x=0, y=0, z=0) and (x=a, y=a, z=0) Assemble can be treated as combination of 2 dipoles along X− axis and Y− axis repectively with dipole moment P=qa each. Net dipole moment Pnet=P^i+P^j=P√2 i.e Pnet=√2qa along the line joining points (x=0, y=0, z=0) and (x=a, y=a, z=0) (using parallelogram law)

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