Question

In the following circuit, calculate the resistance that must be placed in the terminals to transfer the maximum power, and its power. (Put in the Blackboard answer the power calculation in Watts.) The value of the voltage source is 59 Volts.

30 12 W + Vy - 24 Vy/48 V

Answer 1

V } 300 1841 - 81416 VTH = -24.58 204 VTOM et ly . + zur V) By applying Thevenin's theorem for calculation maximum power transferread. Maximum power is transferred when Rib =RL. Applying nodal analysis at temu, Vi Vy of vruth 24 HOU, – 5Vyt PV, -8UTH = 0 Vy = -59 18V1 - EUTH-295) 8 VTR = 0 12 Given v=59v 48 30 WKA Nodal analysis at veh 76-59 of th-vi 12. 30 5 VT-295+ 2 VT --2V1=0 TT-201 = 295 Th=48.191

for Rob, independent sources are replaced by their internal resistance 30 u 1 2u 0 39 R?b= U I Nodal an analysis at vi Vy 2u rov, - 5vy & VI-V 48 +8V1-8v=0 12n and verbranchey are in parallel V-Vy lov, -13V+8VISO 18VIE 12V VIZO.7220 Nodal analysis at v V-VI 30 ty ET 12 02771 + v CI 20 12 0.55V+ 5V = 60) 1/2 = 10.81 RTG 10.814

For maximum power Ri=Rth RL= 10.81 Power of RL = (Vat Re² RL Rih Vot + IRL V Vah + VE V XRL Ribtre VERE 2BC \ru 2 UGG Power = To ) < RI = 62 URL = 53. TOW P