Concept explainers
Determine v1 and v2 in the circuit of Fig. 3.101.
Figure 3.101
For Prob. 3.56.
Find the voltages
Answer to Problem 56P
The value of voltages
Explanation of Solution
Given data:
Refer Figure 3.101 in the textbook for mesh analysis.
Calculation:
Redraw the given circuit as shown in Figure 1 with the mesh currents.
Apply Kirchhoff’s voltage law to loop 1 with current
Apply Kirchhoff’s voltage law to loop 2 with current
Apply Kirchhoff’s voltage law to loop 3 with current
Represent the equations (1), (2), and (3) in matrix form.
Obtain the value of the determinants as follows.
Write the expression for the mesh currents using Cramer’s rule.
Substitute
Substitute
With reference to Figure 1, write the expression for the voltages
Substitute
Substitute
Conclusion:
Therefore, the values of voltage
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Chapter 3 Solutions
EBK FUNDAMENTALS OF ELECTRIC CIRCUITS
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