Averaged power dissipated in the load, Electrical Engineering

(a) Consider the following transmission line with the reactance X1 placed across the input. It is being driven with a frequency ω such that the length of the line is λ/4.

What values of the source (generator) resistance Rg and X1 are required to maximize the power delivered to the load?

(b) What is the time averaged power dissipated in the load?  

(c) Assume that the frequency is doubled. What is the length of the line (in terms of λ)? Repeat part (a) for this new frequency.

(d) Repeat part (b) for this new frequency.

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