A ring of mass m and radius 'r' is mounted on a light rod which is suspended by means of two string. Find the tension in the strings if the ring carries a current i and a vertical magnetic field β exists. Given (ia2Bl=mg2π).
A
mg2,mg2
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B
O,mg
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C
mg3,2mg3
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D
3mg4,mg4
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Solution
The correct option is D3mg4,mg4 ia2Bl=mg2π ∑Fy=0 T1+T2−mg=0⇒T1+T2=mg ∑τ0=0 T1l−T2l−MBsin90∘=0 ⇒T1−T2=iπa2Bl T1−T2=mg2π×π 2T1=3mg2 ⇒T1=3mg4,T2=mg4