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An electric dipole experiences a torque ...

An electric dipole experiences a torque of `9 xx 10^(-26)` Nm when it is placed at an angle `30^(@)` with the field `10^(4) NC^(-1)` . Find the dipole moment and electrostatic potential energy.

Text Solution

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`tau=9xx10^(-26)Nm`
`theta=30^(@)`
`E=10^(4)NC^(-1), P=?`
`tau=PE sin theta`
`P=(tau)/(E sin theta)=(9xx10^(-26))/(10^(4)xx sin 30)`
`P=(9xx10^(-26))/(10^(4)xx1//2)=18xx10^(-30)cm`
or `P=1*8xx10^(-29)Cm`
Potential energy `=U=-PE cos theta`
`=-18xx10^(-29)xx10^(4)xx cos 30^(@)`
`=-1*8xx10^(25)xx (sqrt(3))/(2)`
`=-1*56xx10^(-25)J`
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