A loop of flexible conducting wire of length l lies in magnetic field B which is normal to the plane of loop. A current I is passed through the loop. The tension developed in the wire to open up is
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a
π2BIl
b
BIl2
c
BIl2π
d
BIl
answer is C.
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Detailed Solution
BI(dl)=2Tsin(dθ/2) ⇒BI(rdθ)=2T(dθ/2) ( θ is small, sinθ=θ) ⇒T=Bir=Bil/2π