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Electric Charges And Fields

Question
CBSEENPH12037280

An electric dipole, when held at 30° with respect to a uniform electric field of 104 N/C experiences a torque of 9 x 10–26 Nm. Calculate the dipole moment of the dipole.

Solution

Given, 

Electric field, E = 104 NC-1
Torque , 
τ = 9×10-26 N mθ=30° When electric dipole is placed at an angle θ with the direction of the electric field, torque acting on the dipole is,τ = pE sinθ the elctric moment of the dipole ,p=τE sinθ=9×10-26104×sin 30°=9×10-26104×0.5  =1.8×10-19 Cm