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JEE Main202624 January 2026Morning ShiftPhysicsElectrostaticsActual

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

Options

  1. A2 q a(7 i -3 j )
  2. B2 q a(3 j - i )
  3. C2 q a(3 i -7 j )
  4. D2 q a(3 j -7 i )

Correct answer

A. 2 q a(7 i -3 j )

Step-by-step solution

The dipole moment is given by: p = q₁ r ₁ + q₂ r ₂ + q₃ r ₃ p = (2q)(-3a) j + (3q)(2a) i + (-4q)(-2a) i p = -6qa j + 6qa i + 8qa i p = 14qa i - 6qa j p = 2qa(7 i - 3 j )

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