The maximum value of mutual inductance of two inductively

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The maximum value of mutual inductance of two inductively coupled coils with selfinductance, L₁ = 49 mH and L₂ = 81 mH is

1. 130 mH
2. 63 mH
3. 32 mH
4. 3969 mH

Correct Option: B

M < k √L₁ L₂
⇒ M_max = k √L₁ L₂
= √L₁ L₂ = √40 × 81 = 63 mH