Unformatted text preview: 13.13. PROBLEMS 13.43 Show the point YSC/Yo, the transformation path on the chart, and the point YIN/Yo. Problem 13.23: A 50-9 low-loss transmission line, 7.2A in length, is excited by a
300—MHz source having a 50-0 internal resistance. The impedance measured at the
input to the line is ZIN = 15 — 322 $2.
a. Determine the load impedance Z L.
b. At what distance from the load would you connect a purely susceptive correction
element across the line (i.e., in parallel) in order to match the load to the impedance of the source?
c. What nature of susceptive element (inductive or capacitive) would be required? What would be the magnitude of the susceptance? cl. What VSWR will appear on the line between the load and the point at which the
correction element is connected? What will be the VSWR between that point and the source?
e. If a short-circuited stub of 25—9 transmission line is to be used for the correction element, how long should it be? Problem 13.24: Agree or disagree with the following statements, and brieﬂy justify your conclusions.
3. If a transmission line is lossy, the input impedance of a sufﬁciently long piece of the line approaches the characteristic impedance Z0, regardless of the load that is connected at the end. _
b. The fact that the input impedance of a piece of shortwcircuited transmission line
appears to be somewhat resistive, rather than purely reactive, can be shown to be a direct consequence of losses on the line. Problem 13.25: For a short-circuited transmission line driven by a source with an
open—circuit voltage of V3 and resistance R3, the current equals: (1) Vs/RS, (2) O,
(3) oo, (4) Vg/ZD, or (5) None of these. Problem 13.26: An unknown load is connected to a sinusoidal voltage source via a
transmission line, as shown in Figure 13.43. The maximum amplitude (single-sided, Vl/I/Mﬂ/l/Ilil/I/I/I/IM/I/ff/I/I/I/ﬁ 2:" LC=sapo £5509 2” Figure 13.43: Unknown load fed by a transmission line from a sinusoidal source. ...
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- Fall '06