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Q.

A current i amp. flows in the loop having circular arc of r metre subtending an angle θ as shown in fig

Question Image

The magnetic field at centre O of circle is

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a

2μ0i4πr2sin⁡θ

b

2μ0i2rsin⁡θ

c

μ0iθ4πr

d

μ0isin⁡θ4r

answer is A.

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Detailed Solution

We know that B =μ04π×2π×ir
Here angle is θ instead of 2 π hence
B=μ04πθir

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