Verify numerical values for each nodal voltage in Exercise 14 by employing LTspice or a similar CAD tool. Submit a printout of an appropriately labeled schematic with the nodal voltages highlighted, along with your hand calculations.
Verify the solution obtained in Exercise 14 using LTspice.
Explanation of Solution
Calculation:
Refer to FIGURE 4.44 in the textbook.
Apply nodal analysis at node
Apply nodal analysis at node
Apply nodal analysis at node
Apply nodal analysis at node
Solve the equations by Cramer’s rule.
Find
Find
The value of
Find
The value of
Find
The value of
Find
The value of
Apply nodal analysis at node
Apply nodal analysis at node
Apply nodal analysis at node
Apply nodal analysis at node
Solve the equations by Cramer’s rule.
Find
Find
The value of
Find
The value of
Find
The value of
Find
The value of
Thus, the nodal voltages are,
S. No | Node | Nodal voltage |
1 | 3.078 V | |
2 | –2.349 V | |
3 | 0.3109 V | |
4 | –0.3454 V | |
5 | 1.02 V | |
6 | 9.217 V | |
7 | 13.095 V | |
8 | 2.6768 V |
Draw the circuit diagram in LTspice as shown in Figure 1.
The output after simulating the LTspice circuit is,
--- Operating Point ---
V(v3): 0.310881 voltage
V(v1): 3.07772 voltage
V(v2): -2.34888 voltage
V(v4): -0.345423 voltage
V(v7): 13.0951 voltage
V(v5): 1.01901 voltage
V(v6): 9.21673 voltage
V(v8): 2.67681 voltage
I(I3): 2 device_current
I(I1): 2 device_current
I(I4): 6 device_current
I(I2): 1 device_current
I(R14): -1.63498 device_current
I(R13): 0.200345 device_current
I(R12): 2.67681 device_current
I(R11): 1.04183 device_current
I(R10): 2.30418 device_current
I(R9): 1.93916 device_current
I(R8): 1.01901 device_current
I(R7): 3.01901 device_current
I(R6): -0.0690846 device_current
I(R5): 0.131261 device_current
I(R4): -0.469775 device_current
I(R3): 1.32988 device_current
I(R2): 1.53886 device_current
I(R1): -0.46114 device_current
The both calculated and simulated values are approximately equal.
Conclusion:
Therefore, the solution is verified with the LTspice simulation.
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Chapter 4 Solutions
Loose Leaf for Engineering Circuit Analysis Format: Loose-leaf
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