Electrostatics Question 712

Question: An electric dipole, consisting of two opposite charges of $ 2\times {{10}^{-6}}C $ each separated by a distance 3 cm is placed in an electric field of $ 2\times 10^{5}N/C. $ Torque acting on the dipole is

Options:

A) $ 12\times {{10}^{-1}}N-m $

B) $ 12\times {{10}^{-2}}N-m $

C) $ 12\times {{10}^{-3}}N-m $

D) $ 12\times {{10}^{-4}}N-m $

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Answer:

Correct Answer: C

Solution:

[c] Charger (q) $ =2\times {{10}^{-6}}C, $

Distance [d]$ =3cm=3\times {{10}^{-2}}m $

and electric field (E) $ =2\times 10^{5}N/C. $

Torque $ ( \tau )=q.d. $

$ E=( 2\times {{10}^{-6}} )\times ( 3\times {{10}^{-2}} )\times ( 2\times 10^{5} ) $

$ =12\times {{10}^{-3}}N-m. $



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