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  4. The coefficient of self induction of two inductor coils are 20 mH and 40 mH respectively. If the coils are connected in series so as to support each other and the resultant inductance is 80 mH then the value of mutual inductance between the coils will be

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Q. The coefficient of self induction of two inductor coils are $20\, mH$ and $40\, mH$ respectively. If the coils are connected in series so as to support each other and the resultant inductance is $80 \,mH$ then the value of mutual inductance between the coils will be

Electromagnetic Induction

Solution:

$L_{1}=20 \,mH , L_{2}=40\, mH$
$L=L_{1}+L_{2} \pm 2\, M$
$80=20+40+2 \,M$
$M =10 \,mH$