Answer to Question #185086 in Electricity and Magnetism for aliya

Question

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.

Answer 1

Answer:-

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

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

Electric field, $E=5×10^{4} N/C$

Torque acting on the dipole:

$\boxed{τ=pEsinθ}$

$=4×10^{−9} ×5×10^4 ×sin30^o$

$=20\times10^{-5}× \frac{1}{2}$

$=10^{−4} Nm$

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