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A circular loop of radius r carrying a c...

A circular loop of radius r carrying a current i is held at the centre of another circular loop of radius R(>> r) carrying a current I. The plane of the smaller loop makes an angle of `30^@` with that of the larger loop. It the smaller loop is held fixed in this position by applying a single force at a point on its periphery, what would be the minimum magnitude of this force?

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As we have seen above,
Torque = iAB sin theta
`rArr F.r = i. pir. (mu_oI)/(2R) sin 30`
`rArr F = (mu_opiIir)/(4R)`
This is sufficient force to balance the given
condition.
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HC VERMA-MAGNETIC FIELD DUE TO CURRENT-Exercises
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