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The self-inductance of an air-core solen...

The self-inductance of an air-core solenoid is 4.8 mH. If its core is replaced by iron core, then its self-inductance becomes 1.8 H. Find out the relative permeability of iron.

Text Solution

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`L_(air)=4.8xx10^(-3)H`
`L_(iron)`=1.8H
`L_(air)=mu_(0)n^(2)Al=4.8xx10^(-3)H`
`therefore` `mu_(r)=(L_(iron))/(L_(iron))=(1.8)/(4.8xx10^(-3))`=375
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