Question

(a) Thevenize the circuit at terminals a-b as shown in Figure-4 (b) What should be the load impedance, Zi for maximum power transfer? (c) What is the maximum power that can be transferred to load ZL? Q4: [12+2+6] 3 Ohms 2 Ohms zLoad Volts (RMS) 1 Ohm 0.2 I1 Figure-4

Answer 1

We found this as -

We have so, by KCL at node 1 we get I_1 + 0.2 I_1 implies i i implies 1.2 I & I_1 implies 20/(1 - j_2) 1 - j_2 implies in polar implies squareroot 1 + 4 implies 2.23 implies in 4th quadrant therefore implies - tan^- 1 (2) implies - 63.43 therefore I_c implies 20/2.23 < 63.43 I_1 implies 8.96 < 63.43 degree By KVL implies 20 - v implies 20 - v v implies (2 + j3) 0.2I 2 + i3 implies in polar implies squareroot 4 + 9 = squareroot 13 implies tan^- 1 (3/2) implies 56.30 implies 0.2 squareroot 13 < 56.30 < 63.43 times 8.36 implies 0.2 squareroot 13 times 8.96 < 56.30 + 63.43 therefore v implies 6.46 < 119.73 in A < theta implies A cos theta + i A sin theta implies - 3.20 + 5.60 j therefore vth implies 20 - (- 3.20 + 5.60 j) v_th implies 23.20 - j 5.60 for r_th voltage source must be short