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A rectangular coil of sides 'l' and 'b' ...

A rectangular coil of sides 'l' and 'b' carrying a current I is subjected to a uniform magnetic field `vecB`, acting perpendicular to its plane. Obtain the expression for the torque acting on it.

Text Solution

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Equivalent magnetic moment of the coil,
`vecm = Iahatn`
`therefore vecm = I_(l)bvecn`
`(I_(l)bvecn` = unit vector `bot` to the plane of the coil)
`therefore` Torque ` = vecm xx vecB`
` = I_(l)bvecn xx vecB`
= 0
(as `I_(l)bvecn and vecB` are parallel or antiparallel other)
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