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

Q 1.10: An electric dipole with dipole moment $4\times 10^{-9} Cm$ is aligned at $30^{\circ}$ with the direction of a uniform electric field of magnitude $5\times 10^{4}NC^{-1}$ . Calculate the magnitude of the torque acting on the dipole.

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Given,

Electric dipole moment, p = $4\times 10^{-9} Cm$

$\Theta = 30^{0} \ \therefore sin\Theta = 0.5$

E = $5\times 10^{4}NC^{-1}$

We know , Torque acting on a dipole is given by:

$\tau = p \times E$

$\implies \tau = p Esin\Theta = 4\times10^{-9} \times5\times10^{4}\times0.5 \ Nm$

$\implies \tau =10^{-4}Nm$

Therefore, magnitude of torque acting on the dipole is $10^{-4}Nm$

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