A matching network consists of a length of a T-line through section in series with a capacitor. Determine the length (in wavelengths) required of the through section and the capacitor value needed (at 1.0 GHz) to match a
The length of section that consists of a capacitor in series and the value of capacitor for matched network.
Answer to Problem 10.1P
The length of section is
Explanation of Solution
Given:
The load impedance is
Calculation:
The Smith chart for the matched network is shown in Figure 1.
From the Smith chart, the value of normalized load is
The normalized load at the point
The length of the section of matched network is calculated as,
Therefore, the length of the section is
The value of series capacitance is calculated as,
Substitute
Therefore, the capacitance is
Conclusion:
Thus, the length of section is
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Chapter 10 Solutions
Fundamentals of Electromagnetics with Engineering Applications
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