How to Design a Matching Network for 10-j35 ohm Load Impedance at 1 GHz

AI Thread Summary
To design a matching network for a 10-j35 ohm load impedance at 1 GHz, a T-line section in series with a capacitor is required. The calculated length of the T-line is 0.03 wavelengths, and the necessary capacitor value is 1.59 picofarads. The discussion also touches on the principle of maximum power transfer, questioning if Z_S should equal Z_L in both AC and DC circuits. The use of the Smith chart for normalization of the load impedance was mentioned as part of the solution process. Confirmation of these calculations is sought from other forum members.
dlthomas
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Homework Statement




A matching network consists of a length of T-line in series with a capacitor. Determine the length(in wavelength) required of the T-line section and the capacitor value needed (at 1 GHz) to match a 10-j35 ohm load impedance to the 50 ohm line
 
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Please show your attempted solution, per the forum rules...
 
Do we get max. power transfer by setting Z_S = Z_L both in AC and DC circuits?
 
i normalized Zl and used the smith chart...i ended up with a wavelength of .03 and capacitance of 1.59 x 10^-12 F

can anyone confirm this?
 
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