In the given figure the electric field tend to rotate the electric dipole:

F1 Prabhu Anil 19.04.21 D16

  1. Clockwise
  2. Anticlockwise
  3. Both 1 and 2 are correct
  4. None of these

Answer (Detailed Solution Below)

Option 2 : Anticlockwise
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Detailed Solution

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CONCEPT:

Electric dipole in a uniform external field:

  • We know that when a charge q is placed in electric field E, it experiences a force F, the force is given as,

⇒ F = qE

  • So when an electric dipole is placed in the electric field according to the diagram,
  • The force on the +q and the -q charge due to the electric field is given as,

⇒ F = qE

  • The net force on the electric dipole will be zero.
  • The torque on the electric dipole is given as,

⇒ τ = pE.sinθ

\(⇒ \vec{τ} = \vec{p}\times\vec{E}\)

Where θ = angle between the dipole and the electric field

  • This torque will tend to align the dipole with the electric field.

F1 Prabhu Anil 19.04.21  D6

EXPLANATION:

  • When an electric dipole is placed in an external non-uniform electric field then it is shown as,

F1 Prabhu Anil 19.04.21 D17     -----(1)

In the diagram,

⇒ E = electric field intensity

From figure 1 it is clear that the force on the charge -q will be,

⇒ F1 = qE      -----(1)

Similarly from figure 1, it is clear that the force on the charge +q will be,

⇒ F2 = qE      -----(2)

  • The force F1 and F2 will act opposite to each other.
  • The force on the charge -q will act opposite to the electric field while the force on the charge +q acts in the direction of the electric field.
  • Since both, the forces are not collinear so the torque will act on the dipole which tries to rotate the dipole anticlockwise. Hence, option 2 is correct.
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