Concept explainers
For the circuit shown in Fig. 3.113, write the node-voltage equations by inspection.
Figure 3.113
For Prob. 3.69.
Write the node-voltage equations for the circuit in Figure 3.113.
Answer to Problem 69P
The matrix form representation of node-voltage equations for the given circuit is
Explanation of Solution
Given data:
Refer to Figure 3.113 in the textbook for the nodal analysis.
Calculation:
Apply Kirchhoff’s current law at node
Simplify the equation as follows.
Apply Kirchhoff’s current law at node
Simplify the equation as follows.
Apply Kirchhoff’s current law at node
Simplify the equation as follows.
Represent the equations (1), (2), and (3) in matrix form.
Conclusion:
Thus, the matrix form representation of node-voltage equations for the given circuit is
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Chapter 3 Solutions
Fundamentals of Electric Circuits
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