The sum and difference of self-inductances of two coils are `13 mH` and `5 mH` respectively. What is the maximum value of mutual inductance (in milli henry) of the two coil ?

Answer

6

Explanation

Here, `L_(1) + L_(2) = 12 mH, L_(1) = L_(2) mH , M = ?`
Adding, we get `2 L_(1) = 18, L_(1) = 9 mH`
`:. L_(2) = 13 = L_(1) = 13 - 9 = 4 mH`
Max value of mutual inductance of two coils,
`M = sqrt(L_(1) L_(2)) = sqrt(9 xx 4) = 6 mH`