The following questions pertain to the circuit shown on the previous page. The goal is obtain the current i∆ using nodal analysis. The voltage source common to the two nodes dictates that a supernode must be used. A. What is the dependent source control parameter i∆ in terms of the node voltages? B. Owing to the voltage source between nodes a and b, what is the constraint equation that relates va and vb? (Other than numeric values, your answer should contain only the terms vb and vb.) C. What is the KCL equation for the supernode? (Your equation may contain both va and vb. Or, you are free to use the constraint equation to write the equation in terms of a single node voltage.) Using this equation or the ones previous, what is vb (give a numeric value.) What is i∆ (provide a numerical value).

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter2: Fundamentals
Section: Chapter Questions
Problem 2.2P: Convert the following instantaneous currents to phasors, using cos(t) as the reference. Give your...
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The following questions pertain to the circuit shown on the previous page. The goal is obtain the current i∆ using nodal analysis. The voltage source common to the two nodes dictates that a supernode must be used. A. What is the dependent source control parameter i∆ in terms of the node voltages? B. Owing to the voltage source between nodes a and b, what is the constraint equation that relates va and vb? (Other than numeric values, your answer should contain only the terms vb and vb.) C. What is the KCL equation for the supernode? (Your equation may contain both va and vb. Or, you are free to use the constraint equation to write the equation in terms of a single node voltage.) Using this equation or the ones previous, what is vb (give a numeric value.) What is i∆ (provide a numerical value).
7A
D
a
12 Ω ·
+
9id
Vb
45 Ω
is
90 Ω
450 V
M
+
Transcribed Image Text:7A D a 12 Ω · + 9id Vb 45 Ω is 90 Ω 450 V M +
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