Problem 4-91

 

Determine Vo using superposition.


First, kill the 7 mA current source. I will use nodal analysis to find Vo7.

Define Dependent source parameter in terms of node voltages.

if = (VA - VB) / 5 K

35 volt source forms supernode (dotted purple outline) with reference node.

VA = 35 V

KCL at node B:

20 (35 - VB) + 4 (35 - VB) - VB = 0

25 VB = 840

VB = 33.6 V = Vo7 (Intermediate result 1)


Now replace the current source and kill the 35 V source. I will again use nodal analysis to find Vo35.

Define Dependent source parameter in terms of node voltages.

if = - V1 / 5 K

KCL at node 1:

20 (- V1) - 4 (V1) - V1 = 140

25 V1 = - 140

V1 = - 5.6 V = Vo35 (Intermediate result 2)


Finally

Vo = Vo7 + Vo35 = 33.6 - 5.6

Vo = 28 V


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