CBSE Class 12-science Answered
derive an expression for the torque acting on a electric dipole when held in uniform electric field.
Asked by Balan | 26 Mar, 2018, 01:07: PM
Expert Answer
Let us assume an electric dipole is placed in a uniform magnetic field as shown in figure. Each charge of dipole experience a force qE in electric field. Since points of action of these forces are different, these equal and anti paralel forces give rise to a couple that rotate the dipole and make the dipole to align in the direction of field.
The torque τ experienced by the dipole is (qE)×(2dsinθ), where 2d is the length of dipole and θ is the angle between dipole and field direction.
we have used the definition of dipole moment p = q×2d in the above equation. p and E are vectors representing the dipole moment and Electric field respectively.
Last step shown above is the cross product of two vectors
Answered by Thiyagarajan K | 28 Mar, 2018, 08:12: AM
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