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^@`?

A rectangular coil of area `5.0xx10^(-4) m^2` and 60 turns is pivoted

1.	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^@`?
Answer» Here, `A=50xx10^-4m^2`, `n=60`, `B=90G=90xx10^-4T`, `k=?` `I=20mA=20xx10^-3A, theta=18^@`, As, `I=(k)/(nBA)theta` `:. k=(nBAI)/(theta)` `=(60xx90xx10^-4xx50xx10^-4xx20xx10^-3)/(18)` `=30xx10^-9Nm` per degree

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