
AC Response of the Transmission Line 65
Z Zo
= (4-34)
Go ZL
The ratio
Z/Zo
shows an
inversion
of load impedance ratio
ZL/Zo,
or, stated another
way,
Z 1
(4-35)
= z, / z0
Again, from Eq. (4-32), we can deduce another truth about quarter-wavelength
transmission lines. If
Z= ~o (4-36)
ZL
then
Z ZL
= ~o (4-37)
which means that
Zo = ~JZ ZL
(4-38)
Equation (4-38) shows that a quarter-wavelength transmission line can be used as
an
impedance-matching network.
Called
a Q section,
the quarter-wavelength trans-
mission line used for impedance matching requires a characteristic impedance
Zo
if Z is the source impedance and