The inductive impedances are ,
and
.
Mutual inductance is .
Find the mutual inductance of and
.
.
Find the mutual inductance of and
.
Find the mutual inductance of and
.
.
Redraw the circuit:
\Find the inductance at thew coil 1,
\Find the inductance at thew coil 2,
\Find the inductance at thew coil 3,
\Total impedance between the nodes and
is a
\
\
\
\
\