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Electric Charges And Fields

Question
CBSEENPH12037153

An electric dipole with dipole moment 4 x 10–9 C m is aligned at 30° with the direction of a uniform electric field of magnitude 5 x 104 NC–1. Calculate the magnitude of the torque acting on the dipole.

Solution

Given,

 Dipole moment, p = 4 × 10-9 Cm;       θ = 30°Eelectric field,  E = 5 × 104 NC-1

Torque is given by  

      τ=p×E = p. E sin θ                 = 4 × 10-9 × 5 × 104 × sin 30°
    
                τ=4×10-9×5×104×12
                   τ=10-4 Nm