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

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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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Do we get max. power transfer by setting [tex]Z_S = Z_L[/tex] 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?