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Find the mutual inductance of a straight long wire and a rectangular loop, as shown in the figure.

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Find the mutual inductance of a straight long wire and a rectangular loop, as shown in the figure.
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`dphi=(mu_(0)i)/(2pir)xxbdr`
`phi=int_(x)^(x+a)(mu_(0)i)/(2pir)xxbdr`
`M=phi//i`
`M=(mu_(0)b)/(2pi) In (1+(a)/(x))`
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