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Q.

The mutual inductance between a long straight wire and a square loop of side a as shown In figure will be :

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a

μ0a2πℓnx+ax

b

μ0a4πln⁡x+ax

c

μ0aπℓnx+ax

d

μ0a2πℓnax

answer is A.

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Detailed Solution

dϕ=BdA=μ0Iadx2πxϕ=μ0Ia2π∫xx+a dxxMI=μ0Ia2πln⁡x+axM=μ0a2πln⁡x+ax
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