In a circuit withn=5 nodes the element voltages in terms of node voltages are given as follows:

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In a circuit with n=5 nodes the element voltages in terms of node voltages are given as follows:
vi=VB, V2=VA, V3=VA-VC, V4=VB-VA, Vs=VB-VD, V6¬VC, V7=VD, Vs=VB, V9=VC-VD.
a. What are the above equalities called?
b. Write these equations in matrix form.
c. Find the circuit that corresponds to these element voltage/node voltage relationships by
showing element reference directions.
Note: Element i connected between nodes X and Y is shown in Fig.2; use this in showing
your elements.
X
Y
Figure 2
Transcribed Image Text:In a circuit with n=5 nodes the element voltages in terms of node voltages are given as follows: vi=VB, V2=VA, V3=VA-VC, V4=VB-VA, Vs=VB-VD, V6¬VC, V7=VD, Vs=VB, V9=VC-VD. a. What are the above equalities called? b. Write these equations in matrix form. c. Find the circuit that corresponds to these element voltage/node voltage relationships by showing element reference directions. Note: Element i connected between nodes X and Y is shown in Fig.2; use this in showing your elements. X Y Figure 2
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