Two small identical electrical dipoles AB and CD, each of dipole moment ‘p’ are kept at an angle of 90° a) What is the resultant dipole moment of this combination? b) If this system is subjected to electric field E, directed along + X direction, what will be the magnitude and direction of the torque acting on this?
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12th
Physics
Electric Charges and Fields
Electric Dipole
Two small identical electri...
PHYSICS
Two small identical electrical dipoles AB and CD each of dipole moment
p
are kept at an angle of 120
o
as shown in the figure. What is the resultant dipole moment of this combination ? If this system is subjected to electric field (
E
) directed along +X direction, what will be the magnitude and direction of the torque acting on this?
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December 26, 2019
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Ranjupriya Romeo
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ANSWER
The two dipoles are placed at an angle of 120
0
The dipole moment of AB is directed towards B
and that of cd is directed towards c
Hence,
the resultant dipole moment is given as
R=
P
2
+P
2
+2PPcos120
=
2p
2
−
2
2p
2
=p
when the system is subjected to an electric field ,there is a to sque
acting on the dipole.
The field IS directed towards X-axis .The angle COR in the
above diagram will be 60
0
.
Hence,the angle between the resultant dipole moment and electric field
is 90
0
−60
0
=30
0
∴ torque on the system is
τ=PEsinθ=PEsin30=
2
PE
The direction of torque is perpendicular to both P and E