Networks Analysis and Synthesis - Engineering

Q1:

Two similar mutually coupled coils have a total inductance of 900 mH and coefficient of coupling 0.5. The self inductance of each coils is

A 300 mH

B 150 mH

C 75 mH

D 50 mH

ANS:A - 300 mH

M = kL1L2, L1 = L2 = L, M = kL. Total inductance = L1 + L2 + 2M = 2L + 2kL = 900 mH or L(2 + 2 x 0.5) = 900 or L = 300 mH.