Determine the individual contribution each current source makes to the two nodal voltages V1 and V2 as represented in Fig. 10.67.
■ FIGURE 10.67
Find the expressions for nodal voltages
Answer to Problem 61E
The expressions for nodal voltages
Explanation of Solution
Calculation:
Refer to Figure in the respective question.
Case 1:
Redraw Figure, as shown in Figure 1 by making
Apply KCL at node
Apply KCL at node
Write the equations (1) and (2) in matrix form.
Write the Matlab code to solve equation (3)
A = [(0.333+i*0.408) (-i*0.075); (-i*0.075) (0.333-i*0.425)];
B = [(2.264-i*1.968);(0)];
C = inv(A)*B
Matlab Output:
C =
-0.17551 - 5.58282i
0.49749 + 0.59541i
Polar equations of node voltages are as follows.
Case 2:
Redraw Figure, as shown in Figure 2 by making
Apply KCL at node
Apply KCL at node
Write the equations (4) and (5) in matrix form.
Write the Matlab code to solve equation (6)
A = [(0.333+i*0.408) (-i*0.075); (-i*0.075) (0.333-i*0.425)];
B = [(0);(-4.87-i*1.124)];
C = inv(A)*B
Matlab Output:
C =
0.3153 - 1.2537i
-3.8514 - 8.2199i
Polar equations of node voltages are as follows.
Find nodal voltage
Substitute
Find nodal voltage
Substitute
Conclusion:
Thus, the expressions for nodal voltages
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Chapter 10 Solutions
Loose Leaf for Engineering Circuit Analysis Format: Loose-leaf
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