Request a call back

Join NOW to get access to exclusive study material for best results

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
answered-by-expert 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.
 
begin mathsize 12px style tau space equals space q E cross times 2 d sin theta space equals space open parentheses q cross times 2 d close parentheses cross times E space sin theta space equals space p cross times E space sin theta space equals space bold italic p bold space bold cross times bold space bold italic E end style
 
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
CBSE 12-science - Physics
Asked by niharvijayvargiya5 | 23 Apr, 2024, 06:40: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Physics
Asked by kulhariabhijeet | 21 Apr, 2024, 02:39: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Physics
Asked by mohapatraswetalina88 | 21 Apr, 2024, 12:18: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Physics
Asked by aishaisha091098 | 19 Apr, 2024, 04:54: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Physics
Asked by ranadeb8090 | 19 Apr, 2024, 03:32: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Physics
Asked by dasrituparna1999 | 13 Apr, 2024, 06:56: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Physics
Asked by mishrigupta19319 | 08 Apr, 2024, 06:28: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Physics
Asked by madhav9119887644 | 07 Apr, 2024, 08:10: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
Get Latest Study Material for Academic year 24-25 Click here
×