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Q.

In the figure shown there are two semicircles of radiir1 and r2 in which a current i is flowing. The magnetic induction at the centre O will be

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a

μ0i4r1+r2

b

μ0i4r1-r2

c

μ0i4r1+r2r1r2

d

μ0i4r2-r1r1r2

answer is C.

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Detailed Solution

The direction of magnetic induction due to both semicircular parts will be perpendicular to the paper and inwards.

Also,

           B=B1+B2              =μ0i4r1+μ0i4r2              =μ0i4r1+r2r1r2

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