1.

A coil of area 100 cm^2 having 500 tuns carries a current of 1 mAl. It is suspended in a uniform magnetic field of induction10^(-3)Wb//m^2 . Its plane makes an angleof 60^@ with the lines of induction. Find the torque acting on the coil.

Answer»

Solution :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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