Question

Homework#2 9.34 Find the value of Zi in Fig. P9.34 for maximum average power transfer to the load 2Ω -j2Ω 1245° 1 v 4Ω Figure P9.34

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Answer 1

For maximum power transfer nZ_L = R_th = R_N for finding R_N current source will be open circuit since here j 2 & 2 will come in series due to open circuit so it will be like \r\n circuit shown below here 2 - 2j & j1 will be in the parallel so (2 - 2j)//j1 = (2 - 2j) times j/2 - 2j + j = 2j + 2/2 - j \r\n Z_L = 4 + 2j + 2/2 - j = 8 - 4j + 2j + 2/2 - j Z_L = 10 - 2j/2 - j reducing it in standard form Z_L = (10 - 2j) (2 + j)/(2 - j) (2 + j) {hint: - (a + b) (a - b) = a^2 - b^2} {j^2 = -1 Z_L = 20 + 10 j - 4j + 2/4 + 1 Z_L = 22 + 6j/5