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Questions  

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

a
μ04πidcos⁡ϕ1+cos⁡ϕ2
b
4π2id
c
μ04πidsin⁡ϕ1+sin⁡ϕ2
d
μ04πid

detailed solution

Correct option is A

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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