The two conductor problem of Section 2.1 can be generalized to a group of n conductors with a common ground return. If currents i1, i2, …, in are flowing through the conductors, the voltage drop along conductor i is
Similar equations can be constructed for all conductors in the group. Expressing the complete set of n voltage drop equations in matrix notation yields
V is the voltage vector.
I is the current vector.
Zseries is the series impedance matrix.
The elements of the impedance matrix Zseries are computed using Carson’s equations:
The series admittance of the n conductor configuration can be determined by inverting its impedance matrix, i.e.