Question

8. value: 10.00 points Problem 11.057 - Power delivered to dependent source For the circuit in the given figure, find the average, reactive, and complex power delivered by the dependent voltage source. Assume V : = 47 2 25° V. 412 -j1Ω 212 V 12 j222 2V The average power is 114.72 W. The reactive power is 33.7 VA. The complex power is 114.72 33.7]) VA.

Answer 1

M Vi M las 1) ANO Apply nodal analysis, ad mode w Yo - 47225 Von 47.25 (5+3 400 - 340, ③ At node vo-vi -Ś ve + 2vo V j 2 v=C2-34) VO Put ean into 47225o = 6+34) vo- j4 (2-34) Vo 47225º =Vo[cs +54) to j 8-16] 472250 vo = 474250 [-11-34 [5+34-38-16 (2-34) (47225 (-11-34)

source is the voltage across dependent V2 = Votacavo) = V1+4vo (4722507 V2 = 2- j 4 (472250) + 4 (-11-; 4) LE-11-34) = Vz 47 L250 iro (-11-34) [ 2-34+4 ] N2 47L250 C-11-j 4 ) [6-34] Now Average complex power Sat V2 I* - i Va Cavo*) Vzvot 2 -47 L-250 S = (47225°) (6-34) v 11-j4 - 11-j4 (-47225°) (-47225° ) (6-34 ) ( 11 + j4) (11-j4) 2209 Co-j4) p=96.75 W = 64.5 VA S = 96.75 - 164.5 1 137

I have check my answer it is correct please if you have any doubt ask me in comment section thank you