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## Homework Statement

## Homework Equations

Time Avg. Power = [itex]\frac{|V0+|^2}{2*Z0}[/itex] [1-|[itex]\Gamma|^2[/itex]]

for line of l=[itex]\frac{λ}{4}[/itex]+n[itex]\frac{λ}{2}[/itex] (where n=0 here), Zin=[itex]\frac{Z0^2}{ZL}[/itex]

## The Attempt at a Solution

Bit confused what to do in the 1st part? I know that max. power is delivered to load when Z0=ZL because then there will be no reflection, so |[itex]\Gamma[/itex]|=0 which is obvious from the equation that power is maximized (also my professor explained this). But to prove this, am i expected to take the derivative of the equation for time avg. power, with respect to Z0=Zin=R+jX? I am unsure how to do this, first of all. Also here in this problem (c) Z0 is not same as ZL so power delivered is not maximized. But using the equation above I calculated Zin=12.5+j12.5 from which I found X=12.5 and Rg i assumed was the real part of Zin=12.5. i was wondering though if I did this right so far.

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