Question
Download Solution PDFThe desirable VSWR on a transmission line is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe reflection coefficient is used to define the reflected wave with respect to the incident wave.
The reflection coefficient of the transmission line at the load is given by:
\({\rm{Γ }} = \frac{{{{\rm{Z}}_{\rm{L}}} - {Z_0}}}{{{Z_L} + {Z_0}}}\)
ZL = Load impedance
Z0 = Characteristic Impedance
It is always desirable to have a perfectly matched load for maximum power transfer, i.e. ZL = Z0
For ZL = Z0
\({\rm{Γ }} = \frac{{{{\rm{Z}}_{\rm{0}}} - {Z_0}}}{{{Z_0} + {Z_0}}}=0\)
The Voltage Standing Wave Ratio (VSWR) is defined as:
\(VSWR = \frac{{1 + {\rm{Γ }}}}{{1 - {\rm{Γ }}}}\)
The voltage standing wave ratio for a perfectly matched load (which is always desirable) is obtained by putting Γ = 0 in the above equation.
\(VSWR = \frac{{1 + {\rm{0 }}}}{{1 - {\rm{0}}}}=1\)
Last updated on May 30, 2025
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