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A general long (i.e. long with respect to wavelength) two-wire transmission line may be characterized by distributed transmission line parameters, see Figure F.1
Figure F.1 Distributed transmission line parameters in a general long two-wire transmission line.
Here R is the sum of resistances in both conductors per unit of length, G is the conductivity per unit of length, L is the self-inductance per unit of length and C is the capacitance per unit of length.
When the distributed transmission line parameters are known, the characteristic impedance, Z0, and propagation constant, ?0, may be calculated as
F.1
F.2
We will demonstrate this, as well as state the definitions for characteristic impedance and propagation constant, using an infinitesimal length, ?z, of transmission line as shown in Figure F.2.