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Networks Analysis and Synthesis - Engineering

Q1:

Three identical coils each having self inductance L are connected in series so that the fluxes of all the three are in the same direction. If mutual inductance between each pair of coils is M, the total inductance of the arrangement is

A 3 L + 9 M

B 1.5 L + 3 M

C 3 L + 3 M

D 3 L + 6 M

ANS:B - 1.5 L + 3 M

Total inductance = L + L + L + M + M + M + M + M + M = 3L + 6M.