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Q.

The magnetic field at the centre of a wire loop formed by two semicircular wires of radii  R1=2πm and  R2=4πm carrying current I = 4A as per figure given below is   α×107T.The value of α  is  (Centre O is common for all segments)
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a

2

b

3π

c

2π

d

3

answer is B.

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Detailed Solution

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μ0i2R2π2π+μ0i2R1π2π
μ0i4R2+μ0i4R1
4π×107×44×4π+4π×107×44×2π=3×107=α×107α=3

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The magnetic field at the centre of a wire loop formed by two semicircular wires of radii  R1=2π m and  R2=4π m carrying current I = 4A as per figure given below is   α×10−7T.The value of α  is  (Centre O is common for all segments)