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Q.

A coil in the shape of an equilateral triangle of side 10cm lies in vertical plane between the pole pieces of permanent magnet producing a horizontal magnetic field 20 mT. The torque acting on the coil when current of 0.2 A passed through it and its plane becomes parallel to the magnetic field will be x×105 Nm , the value of x is ___ 
 

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answer is 3.

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Detailed Solution

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areaofequilateraltriangleA=34l2,   l=10cm  =101m

B=20×103T

Torqueτ=BIAN    =Bi3  l24                i=2×101A  =20×103×2×101×34×(101)2τ=3×105Nm

x=3

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