Question #185086

an electric dipole with dipole moment 4*10-9 is aligned at 30 degree with the direction of a uniform electric field of magnitude 5*104 N/C. calculate the magnitude of the torque acting on the dipole.



1
Expert's answer
2021-04-28T07:44:39-0400

Answer:-


Electric dipole moment, P=4×109C mP=4×10^{−9} C\space m


Angle made by p with a uniform electric field, θ=30°θ = 30°


Electric field, E=5×104N/CE=5×10^{4} N/C



Torque acting on the dipole:

τ=pEsinθ\boxed{τ=pEsinθ}

=4×109×5×104×sin30o=4×10^{−9} ×5×10^4 ×sin30^o

=20×105×12=20\times10^{-5}× \frac{1}{2}


=104Nm=10^{−4} Nm


Hence, the magnitude of the torque acting on the dipole is 10-4Nm

 



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