Which of the elements Is, Vs, R2, R, R5, or R, in Figure I have current-voltage labeling that violates Passive Sign Convention? There could be more than one possible element which violates Passive Sign Convention. Explain your reasoning. In Figure I, the nodes are labeled with u1, uz. .. etc. There is a subset of u's in the given circuit that are redundant, i.e. there might be more than one label for the same node. Which node(s)? Justify your answer. Redraw the circuit diagram by correctly labeling all the element voltages and element currents accord- ing to passive sign convention. (The component labels that were violating Passive Sign Convention in part (a), should be corrected by swapping the element voltage polarity. Also, the elements that have not been labeled yer, should be labeled following Passive Sign Convention.) Write an equation to describe the current-voltage relationship for element R4 in terms of the relevant I's, R's, and node voltages in this circuit. Write the KCL equation for node uz in terms of the node voltages and other circuit elements.

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2. [PRACTICEJ It's a Triforce!
Learning Goal: This problem explores passive sign convention and nodal analysis in a slightly more com-
plicated circuit.
RI
R2
Vs
+
is
Rs
Vo
R3
Figure 1: A triangular circuit consisting of a voltage source V,, current source I, and resistors R, to R4-
(a) Which of the elements Is, Vs, R2, R3, R5, or R, in Figure I have current-voltage labeling that violates
Passive Sign Convention? There could be more than one possible element which violates Passive Sign
Convention. Explain your reasoning.
(b) In Figure 1, the nodes are labeled with u, uz, ... etc. There is a subset of u,'s in the given circuit that
are redundant, i.c. there might be more than one label for the same node. Which node(s)? Justify your
(e) Redraw the circuit diagram by correctly labeling all the element voltages and element currents accord-
ing to passive sign covention. (The component labels that were violating Passive Sign Convention in
part (a), should be corrected by swapping the element voltage polarity. Also, the elements that have
not been labeled yet, should be labeled following Passive Sign Convention.)
answer.
(d) Write an equation to describe the current-voltage relationship for element R4 in terms of the relevant
i's, R's, and node voltages in this circuit.
(e) Write the KCL equation for node uz in terms of the node voltages and other circuit elements.
Transcribed Image Text:2. [PRACTICEJ It's a Triforce! Learning Goal: This problem explores passive sign convention and nodal analysis in a slightly more com- plicated circuit. RI R2 Vs + is Rs Vo R3 Figure 1: A triangular circuit consisting of a voltage source V,, current source I, and resistors R, to R4- (a) Which of the elements Is, Vs, R2, R3, R5, or R, in Figure I have current-voltage labeling that violates Passive Sign Convention? There could be more than one possible element which violates Passive Sign Convention. Explain your reasoning. (b) In Figure 1, the nodes are labeled with u, uz, ... etc. There is a subset of u,'s in the given circuit that are redundant, i.c. there might be more than one label for the same node. Which node(s)? Justify your (e) Redraw the circuit diagram by correctly labeling all the element voltages and element currents accord- ing to passive sign covention. (The component labels that were violating Passive Sign Convention in part (a), should be corrected by swapping the element voltage polarity. Also, the elements that have not been labeled yet, should be labeled following Passive Sign Convention.) answer. (d) Write an equation to describe the current-voltage relationship for element R4 in terms of the relevant i's, R's, and node voltages in this circuit. (e) Write the KCL equation for node uz in terms of the node voltages and other circuit elements.
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