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 ______.

विकल्प

• IBL

• `"IBL"/pi`

• `"IBL"/(2pi)`

• `"IBL"/(4pi)`

Answer 1

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 `bbunderline("IBL"/(2pi))`.

Explanation:

2T sin`("d"theta)/2` = BIRdθ

T dθ = BIRdθ           (for θ small)

T = BIR = `"BIL"/(2pi)`