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Q.

A wire carrying current I has the shape as shown in adjoining figure. Linear parts of the wire are very long and parallel to X-axis while semi-circular portion of radius R is lying in Y– Z plane. Magnetic field at point O is

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a

μ0I2πR(πi+2k)

b

μ0I4πR(πi+2k)

c

μ0I4πR(πi+2k)

d

μ0I4πR(πi2k)

answer is C.

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Detailed Solution

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Due to curved part μ0I4R(i^)
due to each straight part μ0I4πR(k^)
hence net μ0I4πR(πi+2k)

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