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CBSE Class 12-science Answered

an electric dipole is placed in a uniform electric field vector E with its dipole moment vector P parallel to the field . Find   1) the work done in turning the dipole till its dipole moment points in the direction opposite to vector E.
Asked by kothattil439 | 13 Aug, 2019, 09:21: PM
answered-by-expert Expert Answer
Torque τ acting on a dipole is given by,  τ= p×E  .....................(1)
 
where p is dipole moment and E is electric Field intensity.
 
Workdone dw for small angular displacement  dθ is given by,  dw = τ dθ
 
If a dipole is initially at the field direction, then workdone W to turn the dipole
to the opposite direction  is given by
 
begin mathsize 14px style W space equals space integral subscript 0 superscript pi left parenthesis space p cross times E space right parenthesis space d theta space equals space p E integral subscript 0 superscript pi sin theta space d theta space equals space 2 p E end style
Answered by Thiyagarajan K | 13 Aug, 2019, 11:17: PM

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