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An electric dipole, when placed at an an...

An electric dipole, when placed at an angle 9 = 30° with uniform electric field of 10' NC experiences a torque of 9x10-26 Nm. Calculate the dipole moment and electrostatic potential energy in this position.

Text Solution

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Here,`" "theta= 30°, E = 10^(4) NC^(-1), pi = 9 xx 10^(-26)` Nm
Now,`" " pi = pEsintheta`
`:." "9 xx 10^(-26)=p xx 10^(4) xx sin 30^(@)`
or,`" " 9 xx 10^(-26) = p xx 10^(4) xx 1/2 implies p= (9 xx 10^(-26) xx 2)/10^(4)=18 xx 10^(-30) m`
Now,`" "U=-pEcostheta =-18 xx 10^(-30) xx 10^(4) xx cos30^(@)=-18 xx 10^(-30) xx 10^(4) xx sqrt3/2=-1.56 xx 10^(-25) J`
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