Problem # 4.17
a) Use the node-voltage method to find the total power developed in the circuit
shown.
b) Check your answer by finding the total power absorbed in the circuit.
Identify the nodes and write the equations.
v1
v2
v1
v
v v
 1  1 2  25  0
40 160
10
v2  v1 v2 v2  84i


0
10
20
8
v
i  1
160
...
21v1  16v2  0i  0
 16v1  44v2  1680i  0
v1  (0)v2  160i  0
...
v1  352V
v2  212V
i  2.2 A
212  (84)( 2.2)
 3.4 A
8
 (84)( 2.2)(3.4)  628.32W (absorbed )
idependentsource 
p84i
p25 A  (25)(352)  8800Wdelivered
b)
p
p
p
absorbed
(352) 2 (352) 2 (352  212) 2 (212) 2




 (3.4) 2 (8)  628.32
40
160
10
20
 8800W
delivered
  p absorbed  8800W
absorbed