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Q.

The magnitude of the magnetic field induction at the origin O due to a very long conductor carrying current i of the shape shown in fig. will be

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a

μ0i4πri+π2k

b

μ0i4πriπ2k

c

μ0i4πri+π2k

d

μ0i4πriπ2k

answer is C.

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Detailed Solution

The magnetic field induction at O due to different parts of the conductor will be
B0=B1+B2+B3=μ0i4πr(i)+μ0i4πrπ2(k)+0=μ0i4πri+π2k

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