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

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, IBL, IBL π, IBL 2 π, IBL 4 π

MARKS App · Accepted Answer

L = 2 πR ∴ R = L 2 π 2 Tsin ⁡ dθ = F m For small angles, sin ⁡ ( dθ ) ≈ dθ ∴ 2 T dθ = I dL Bsin ⁡ 90 ° = I 2 R . dθ . B ∴ T = IRB = ILB 2 π

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