1.

A loop with current l Is in the field of a long straight wire with current l_(0).The plane of the loop is perpendicular to the straight wire.Find torque acting on the loop.

Answer»

Solution :`dvecs=(rd0dr)` , (INWARDS)
`dM=(rId0dr)` , (inwards)
`vecB=(mu_(0)l_(0))/(2pir)` , (tangential clockwise)
`dpi=|dvecMxxvecB|=(mu_(0)II_(0)d0dr)/(2PI)` , (TOWARDS centre)
`:.tau=underset(-alpha)overset(alpha)intunderset(a)overset(b)intdrcos theta`
`=(mu_(0)ll_(0))/(2pi)underset(-alpha)overset(alpha)intunderset(a)overset(b)intcos theta d theta dr`
`(mu_(0)II_(0)(b-a)sin alpha)/pi ` , (to the left)


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