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Questions  

The mutual inductance of the system of long straight conductor and the rectangular loop is

a
μ02πalna+xa
b
μ02πblnx+ax
c
μ02πblnx+aa
d
μ02πalna+xx

detailed solution

Correct option is B

Let  i be the current in the straight wire. Then magnetic flux linked through the loop is  ϕ=∫xx+aμ0i2πr×b×drMutual inductance  M=ϕi=μ0b2πlna+xx

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