Electromagnetic Induction and Alternating Current 7 Question 8

8. 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

(2010)

(a) IBL

(b) IBLπ

(c) IBL2π

(d) IBL4π

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Answer:

Correct Answer: 8. (c)

Solution:

L=2πRR=L/2π2Tsin(dθ)=Fm

For small angles, sin(dθ)dθ

2T(dθ)=I(dL)Bsin90=I(2Rdθ)BT=IRB=ILB2π



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