Q.

What is the magnetic field at O due to current in the B infinite wire forming a loop as shown in fig. ?

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a

μ04πidcos⁡ϕ1+cos⁡ϕ2

b

4π2id

c

μ04πidsin⁡ϕ1+sin⁡ϕ2

d

μ04πid

answer is A.

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Detailed Solution

Here required angles θ1 and θ2 are 90∘−ϕ1 and 90∘−ϕ2 HenceB =μ0i4πdsin⁡90∘−ϕ1+sin⁡90∘−ϕ2=μ0I˙4πdcos⁡ϕ1+cos⁡ϕ2
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