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Q.

A rectangular coil of area  5.0×10−4m2 and 60 turns is pivoted about one of its vertical sides. Then coil is in a radial horizontal field of 90 G (radial here means the field lines are in the plane of the coil for any rotation).  The torsional constant of hair spring connected to the coil if a current of 2.0 mA produces an angular deflection of  is  180 is x×10−8Nm/degree

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answer is 0003.00.

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Detailed Solution

Torsional constant is given by C=INBAθC=2.0×10−3×60×90×10−4×5×10−4180 C=3×10−8 Nm/degree ∴x=3.00
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A rectangular coil of area  5.0×10−4m2 and 60 turns is pivoted about one of its vertical sides. Then coil is in a radial horizontal field of 90 G (radial here means the field lines are in the plane of the coil for any rotation).  The torsional constant of hair spring connected to the coil if a current of 2.0 mA produces an angular deflection of  is  180 is x×10−8Nm/degree