Brukar:Roger/fag/mattekladd2

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V_{R1} = R_1 \cdot I

V1 = VR1 + V2

V_1 = R_1 \cdot I + R_2 \cdot I

V_1 = (R_1 + R_2) \cdot I

P_2 = V_2 \cdot I

P_2 = \frac{V_2}{V_1} \cdot 10

P_2 = R_2 \cdot (\frac{10}{V_1})^2

P_2 = \frac{R_2}{I^2}\cdot\frac{100}{(R_1 + R_2)^2}

I^2 = \frac{P_2}{R_2}

P_2 = \frac{R_2}{R_1 + R_2} \cdot 10


matched P_2 = \frac{50}{50 + 50} \cdot 10 = 5 W

unmatched |P_2| = \sqrt{(\frac{126.8 + j185.8}{50 + 126.8 + j185.8})\cdot(\frac{126.8 - j185.8}{50 + 126.8 - j185.8})} \cdot 10 = 2.77 W


|\Gamma| = \frac{Z_0 - Z_L}{Z _0 + Z_L}


P_{transmitted} = (1 - |\Gamma|^2) \cdot 100%

Matched: |\Gamma| = \frac{50 - 50}{50 + 50} = 0

Ptransmitted = 100%

Unmatched: |\Gamma| = \sqrt{\frac{50 - (126.8 + j185.8)}{50 + (126.8 + j185.8)}\cdot\frac{50 - (126.8 - j185.8)}{50 + (126.8 - j185.8)}} = 0.78388

P_{transmitted} = (1 - 0.783882^2) \cdot 100% = 38.55%