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Figure shows two concentric loops of rad...

Figure shows two concentric loops of radii R and r (R gtgt r). A current `i` is passed through the outer loop. Find the flux linked with inner loop and the mutual inductance of the arrangement.

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At O, `B= (mu_(0)i)/(2R)`. As `R gt r`
`therefore` We can assume that same field B acts on the total area of inner loop
`phi= B xx A`
`implies phi= (mu_(0)bar i)/(2R) xx pi r^(2)`
`M= (phi)/(i)= (mu_(0)pi r^(2))/(2R)`
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