Question

Chapter 9, Problem 9.032

Determine (a) the impedance Z_L for maximum average power transfer and (b) the value of the maximum average power transferred to Z_L for the circuit shown in the figure below.

Chapter 9, Problem 9.032 Determine (a) the impedance Z_ for maximum average power transfer and (b) the value of the maximum average power transferred to Z_ for the circuit shown in the figure below. 12/30° 04/0A Z c 3

Answer 1

Summary- This problem is solved by using the basics of circuit analysis in phasor form. Below are the details of solution uploaded in sequence.

solution :- 9.@ 12/30 Step To find the load Impedance, we need to find the vening equivalent Impedance. (z=zth) Voltage Sources - Short Circuited current sources - open circited Now, circuit will be ; - 1 3 $2 untut Eth 2th = 1+3 +8 % 24-421-0 Z = load Impedance = 42

Step ③ - For For maximum power transfer in Crew maximum power transfer in crant, the formelain Pmax= Vth ② 4 Zth open-Circuited voltage across the Load. the Now, circuit will be, mm m YLE Apply KvL at loop (L.) -12 230 – 4 (1-8) + 4th 20. = 12 2300 + (4-45) = 12 (30 ture Lus ath & (A/=/4 2 4 4 2 =452 = -Tant (4) = -1 . = 14.531/7.9 lv - 12.2w & substituting W 13.2 th & Rih in en ③. so Pray = (14.531) ² 4(4) so I max = 13-2 w/