Question

# A thin flexible wire of length $$L$$ is connected to two adjacent fixed points and carries a current I in the clockwise direction, as shown in the figure. When the system is put in a uniform magnetic field of strength $$B$$ going into the plane of the paper, the wire takes the shape of a circle. The tension in the wire is:

A
IBL
B
IBLπ
C
IBL2π
D
IBL4π

Solution

## The correct option is B $$\displaystyle \frac{IBL}{2\pi}$$$$2T\sin\dfrac{d\theta}{2}=BiRd\theta$$$$Td\theta =BiRd\theta$$ (for $$\theta$$ small)$$\displaystyle T=BiR=\dfrac{BiL}{2\pi}$$Physics

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