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An electric dipoole, when placed at an a...

An electric dipoole, when placed at an angle `30^@` with a uniform electric field of `10^4NC^-1`, expereinces a torque of `9xx10^-26`N m. Calculate the dipole moment and electrostatic potential energy in this position.

Text Solution

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Angle between the electric dipole and electric field `= theta = 30^@`
`E = 10^4 NC^(-1)`
`tau = 9 xx 10^(-26) Nm`
Dipole moment = P = ?
Electrostatic potential energy of dipole = U = ?
`tau = PE sin theta`
`9 xx 10^(-26) = P xx 10^(4) xx sin 30^@`
`9 xx 10^(-26) = P xx 10^4 xx 1/2`
`P = 18 xx 10^(-30) cm`
Electrostatic P.E. = `U = -PE cos theta`
`U = -18 xx 10^(-30) xx 10^4 xx cos 30^@`
`U = - 18 xx 10^(-26) xx (sqrt3)/2`
`U = -15.59 xx 10^(-26)`
`U = 1.559 xx 10^(-25) J`
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