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A rectangular coil of area 5.0xx10^(-4) ...

A rectangular coil of area `5.0xx10^(-4) m^2` and 60 turns is pivoted about one of its vertical sides. The coil is in a radial horizontal field of 90 G (radial here means the field liners are in the plane of the coil for any rotation). What is the torsional constant of the hair spring connected to the coil if a current of 2.0 mA produces an angular deflection of `18^@`?

Text Solution

Verified by Experts

Here, `A=5*0xx10^-4m^2`, `n=60`,
`B=90G=90xx10^-4T`, `k=?`
`I=2*0mA=2*0xx10^-3A, theta=18^@`,
As, `I=(k)/(nBA)theta`
`:. k=(nBAI)/(theta)`
`=(60xx90xx10^-4xx5*0xx10^-4xx2*0xx10^-3)/(18)`
`=3*0xx10^-9Nm` per degree
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