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Three charges +2q, +3q and -4q are situated at (0,-3a), (2a,0) and (-2a,0) respectively in the xy plane. The resultant dipole moment about the origin is ______.

Asked in JEE Main 24th Jan 1st Shift 2026 · Dipole moment and dipole field

Answer: (3) 2qa(7̂i-3̂j)

Step-by-step solution

For a set of point charges the dipole moment about a chosen origin is ⃗p=Σ qᵢ⃗rᵢ, the position vectors running from the origin to each charge.

+2q at (0,-3a): 2q(0̂i-3âj)=-6qa ̂j.

+3q at (2a,0): 3q(2âi)=6qa ̂i.

-4q at (-2a,0): (-4q)(-2âi)=+8qa ̂i.

Adding, ⃗p=14qa ̂i-6qa ̂j=2qa(7̂i-3̂j).

Why the other options are wrong

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