Question

Question 1. Determine the value of that will draw the maximum power from the rest of the circuit in Fig. 1. In addition, calculate the maximum power absorbed by R. ful Fig. 1 [10 marks!

Answer 1

Given circuit can be down as below. - Step-1 - & o ri A to conversion www gr R un Limited min niny 3A 42 &I 22 = fmyn 9 wy $42 3A @ 717 =22 - 9 - 9 is .0 6x6 , 6X6 ; ho = 6X6 =2e : Pr= 6x6 6 této he R. - OXO 6+6+6 RA= RB = Pc 6toto ......242)//122)- 4X4-22 ar ar Amnes 7 e P3A d' Imme 42 Det 3A 2 § 42 2I 034 Stepid Before applying maximum Powo theodom, fist apply the the vierins equivalent circuit "Rith Alennu "122] → ven Veth = Vocy KCL at node À -3 + y +&I=0 where I am V +2 [*] = 3 x = 3 V = 6 Volt) and Vo = V y XY = 4 vots

wm AWW Vy calculation. From KVL -VA + 21(2+) + vy = 0 -6+2 23 64] + ry 50 Vy = 2 v0118 1. Vocy = Vth = Voc Vy = 4-2 = 2 volts F: Veh = 2 V 1 Step-3 Ise calculation KEL at node i I. B Foc -3 + you are + yo nyo co ue DQI Vm [+43+V+-+] =3 938 ♡ NA [&] - V6 () -3 - 0 Kel at hode B ya + von vorn + V VA +21=0 Menu - - p +264 Tips] -o %[ --]+6 +9+ -] = 0 VA [4 ] + v6 [0 ] = 0 - © on solving equations ①, ② using calculator we get VA=0 Vo=-4 Ise = I - V = - 64) = 2+1=3A Tesc = 3 A 1. Rth = Vith = e = / tep-4 Final the venin's equivalent Circut and maximum powder terem from maximum power transfer thorom If R=Rth then R absorbe maximum Vih=2V Ren 22 Į Power R= 2 = 0.6672 Maximum Power absorbed by Åis pp = Luis ily Parker working Pmax = 1.5 watts