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A coil area 100 cm^(2) having 500 tums c...

A coil area 100 `cm^(2)` having 500 tums carries a current of 1 mA . It is suspended in a uniform magnetic field of induction `10^(-3) Wb//m^(2)`. Its plane makes an angle of 60° with the lines of induction. Find the torque acting on the coil.

Text Solution

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Given i = 1 `mA = 10^(-3)` A , N= 500 `B = 10^(-3) Wb//m^2`
`theta = 60^@ , tau = ? A = 100 cm^2 = 100 xx 10^(-4) m^2`
Couple acting on the coil is given by `tau = BiA N sin phi` where `phi` is angle made by normal to the plane of coil with B.
`phi = 90 - 60 = 30^@`
`therefore C = 10^(-3) xx 10^(-3) xx 100 xx 10^(-4) xx 500 xx sin 30^@`
`= 250 xx 10^(-8)` Nm
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