Question

(a) Given a circuit in Figure Q4(a): (1) State the condition for maximum average power transfer to the load impedance. Z (2 marks) (1) Determine the load impedance, Z (4 marks) (in) Find the maximum average power (5 marks) Lt mm JI R RE 492 120° A 20 C. 70.502 W ZL 1 Figure Q4(a) An air conditioner operates at 240V... at a frequency of 60 Hz. It absorbs an average power of 9 kW at a lagging power factor, F. of 0.15. The power triangle for a load system is shown in Figure Q4(b). IS! 20 (1) () р Figure 04(b) Determine the complex power of the load (4 marks) Determine the capacitive element required to raise the power factor to 0.88 (1 marks) Analyze the effect of power factor correction in part 0416) () on the effective Current (3 marks) (in)

Answer 1

Dear student, as per Chegg policy we are allowed to do first question only, i hope this solution helps you.Please don't forget to give thumbs up thank you

And (i) for maximum power transfer to load 2. 2 = hot is conjugate of therrenin resistance where accross 2 ii) for In J1 com 4. tash jos Kon = (2+3)||(4+05j) (2+i)(4+0,5;) 6 +1.5j Lon= (7.5 +5j) (6-1.53) 8 + 5j-0.5 7.5+5) 6 + 1.5j 6 + 1.5j 45 +18.75+7.5 = 52.5 + 18.75 38.25 38.25 38.25 36 + 2.25 (iv) Yon = 1.37 + jo.ua a = 7th* h = 1.37 -30,4952 for von (source transformation) im $22 (4+0.5;) x 8 470.5j+2+j 32+ 43 = 32.25 27.1250 OA By Voltage dividere, + Vth = 4 Ush 4*2=8V FO.Sj Vsn = 6 +1.5j 6.185 214.036 Vsh Vyn = 5.214 L-6.911° 5.086 -0-616 Von 12 Lon= Ron & jxom 4 Rh Pmax=(5,214)² = 4.79W = Pman 4x 1.37 Pmax