Question
Download Solution PDFIn the given figure the electric field tend to rotate the electric dipole:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCONCEPT:
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.
EXPLANATION:
- When an electric dipole is placed in an external non-uniform electric field then it is shown as,
-----(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.
Last updated on Jun 13, 2025
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