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

A rectangular coil of sides l and b carrying a current I is subjected to a uniform magnetic field `vecB` acting at an angle `theta` to its plane. Write the expression for the torque acting on it. In which orientation of the coil in the magnetic field, the torque is (i) minimum and (ii) maximum.

Text Solution

Verified by Experts

Torque on the coil, `tau=IlB b cos theta=IlbB cos theta`.
(i) Torque is minimum if `cos theta` is minimum, i.e.,
`cos theta=0` or `theta=90^@`
i.e., the plane of coil is set perpendicular to the direction of magnetic field.
(ii) Torque is maximum if `cos theta=1` or `theta=0^@`. It means the plane of coil is parallel to the direction of magnetic field.
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Knowledge Check

  • A current carrying coil is subjected to a uniform magnetic field. The coil will orient so that its plane become

    A
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    B
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    D
    perpendicular to magnetic field

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    Inclined at `45^(@)` to the magnetic field
    B
    Inclined at any arbitrary angle to die magnetic field
    C
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    D
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  • Torque acting on a current loop in a uniform magnetic field is equal to

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    `overline(P_(m)) xx overline(B)`
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    C
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