Application: Single stub matching. A 75 Ω TV cable is used to connect to a TV. The load is matched to the line (Figure 15 .36a). A second TV must be connected 10m from the first TV, again with a matched section of the same cable (Figure 15.36b). Assuming the phase velocity on the line is c/2, calculate:
(a) The reflection coefficient at the location of connection of the two lines.
(b) The standing wave ratio on the line.
(c) Design a single stub (location to the left of the discontinuity and length) to match the line for channel 3 at 63 MHz. Use the same line impedance for the stubs.
(d) For the design in (c) calculate the reflection coefficient to the left of the stub for channel 2 (57 MHz). What is your conclusion from this calculation as far as stub matching across a range of frequencies?
