A charge q is placed at 1 2 1


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A charge q is placed at (1,2,1) and another charge -q is placed at (0,1,0) such that they form an electric dipole . There exists a uniform electric field E=2icap. calculate the torque experienced by the dipole

(answer is 2√2q N-m)​

Answered by admin @



Answer:

\tau = 2\sqrt2 q

Explanation:

As we know that dipole moment of the dipole is given as

\vec P = q\vec a

here we know that

\vec a = r_+ - r_-

\vec a = (1\hat i + 2\hat j + 1\hat k) - (0\hat i + 1\hat j + 0\hat k)

\vec a = 1\hat i + 1\hat j + 1\hat k

now we know that

\vec P = q(1\hat i + 1\hat j + 1\hat k)

now torque due to electric field on dipole is given as

\tau = \vec P \times \vec E

\tau = q(1\hat i + 1\hat j + 1\hat k) \times (2\hat i)

\tau = q(-2\hat k + 2\hat j)

\tau = 2\sqrt2 q

#Learn

Topic : Torque on dipole in uniform electric field

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