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A rectangular coil of area 2 xx 10^(-4)m...

A rectangular coil of area `2 xx 10^(-4)m^(2) ` and 40 turns is pivoted about one of its vertical sides. The coil is in a radial horizontal field of 60G. What is the torsional constant of the hair springs connected to the coil if a current of `4.0` mA produces an angular diflection of `16^(@)` ?

Text Solution

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`B = 60 G, " " A = 2 xx 10^(-4) m^(2) `
` N = 40 " " I = 4mA = 4 xx 10^(-3) A`
` theta = 16^(@) `
` I = (K theta )/ (BAN) `
` K = (BANI)/ theta `
` = (40 xx 60 xx 2 xx 10^(-4) xx 4 xx 10^(-3))/(16) `
` = 1.2 xx 10^(-4) ` Nm/degree
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