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Consider a television antenna lead-in wire of length 12 cm having a characteristic impedance of Z0 = 300 shorted at one end. The line is to be used...
Consider a television antenna lead-in wire of length 12 cm having a characteristic impedance of Z0 = 300 Ω shorted at one end. The line is to be used at a frequency of 250 MHz. You can assume that the conductors of the line are mostly surrounded by air (although there might be some plastic material between them). a) Find the input impedance of this line. b) Using the known expressions of AC impedances for reactive elements (jωL and 1/(jωC)) find the equivalent capacitor or inductor value that describes how the line behaves at this frequency. c) On the Smith Chart, show how the input impedance from part (a) is obtained graphically. Be sure to show how you normalize the values and then label your start (P1) and end (P2) positions on the chart. Finally, verify that you get the same answer as in part (a).
