Mutual inductance in parallel

Two inductors having inductances L1= 5H and L2=2H and are connected in parallel. The mutual inductance M between the two inductors is 1H. Determine the equivalent inductance (in H) for this system.

With mutual inductance the combined inductance is more complicated to calculate

M=1H

1/Ltotal =( L1 + L2 - 2(M)) / (L1L2 - M^2)
1/Ltotal = (7-2) / (10-1)
1/Ltotal = 5/9

Ltotal = 1.8 H

See also this page for future reference
Series and parallel circuits

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