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Electrostatics question

2007 · Q149
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Electrostatics question

2007 · Q149

NEETPhysicsElectrostaticsMCQ+4 / −1
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 = aaa, y = 0, z = 0) respectively. The magnitude and direction of the electric dipole moment vector of this charge assembly are
  1. A
    2qa\sqrt 2 qa2​qa along the line joining points (x = 0, y = 0, z = 0) and (x = aaa, y = a, z = 0)
  2. B
    qaaa along the line joining points (x = 0, y = 0, z = 0) and (x = aaa, y = a, z = 0)
  3. C
    2qa\sqrt 2 qa2​qa along +x direction
  4. D
    2qa\sqrt 2 qa2​qa along +y direction.
View written solutionFree

Correct answer: A

This consists of two dipoles, –q and +q with dipole moment along with the +y-direction and –q and +q along the x-direction.

AIPMT 2007 Physics - Electrostatics Question 42 English Explanation

∴\therefore∴ The resultant moment = q2a2+q2a2=2qa\sqrt {{q^2}{a^2} + {q^2}{a^2}} = \sqrt 2 qaq2a2+q2a2​=2​qa

Along the direction 45° that is along OP where P is (+a, +a, 0).

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