Concept explainers
Use superposition to obtain vx in the circuit of Fig. 4.85. Check your result using PSpice or MultiSim.
Figure 4.85
Find the value of the voltage
Answer to Problem 17P
The value of the voltage
Explanation of Solution
Given data:
Refer to Figure 4.85 in the textbook.
Calculation:
In the given circuit, since there are three sources, let
Where
When
The given circuit is modified as shown in Figure 1.
In Figure 1, the voltage source with series resistance is converted into current source with parallel resistance by source transformation method.
That is,
The source transformation is shown in Figure 2.
In Figure 2,
Similarly,
The modified Figure is shown in Figure 3.
In Figure 3, the current
The voltage
Substitute
When
The given circuit is modified as shown in Figure 4.
In Figure 4,
Similarly,
The modified Figure is shown in Figure 5.
In Figure 5, the current
The voltage
Substitute
When
The given circuit is modified as shown in Figure 6.
In Figure 6, the voltage source with series resistance is converted into current source with parallel resistance by source transformation method.
That is,
The source transformation is shown in Figure 7.
In Figure 7,
Similarly,
The modified Figure is shown in Figure 8.
In Figure 8, the current
The voltage
Substitute
The total voltage
Substitute
PSPICE Simulation:
Refer to Figure 3, when
Draw the circuit diagram in PSPICE as shown in Figure 9.
Save the circuit and provide the Simulation Settings as shown in Figure 10.
Now run the simulation and the results will be displayed as shown in Figure 11 by enabling “Enable Bias Voltage Display” icon.
Refer to Figure 5, when
Draw the circuit diagram in PSPICE as shown in Figure 12.
Save the circuit and provide the Simulation Settings as shown in Figure 13.
Now run the simulation and the results will be displayed as shown in Figure 14 by enabling “Enable Bias Voltage Display” icon.
Refer to Figure 8, when
Draw the circuit diagram in PSPICE as shown in Figure 15.
Save the circuit and provide the Simulation Settings as shown in Figure 16.
Now run the simulation and the results will be displayed as shown in Figure 17 by enabling “Enable Bias Voltage Display” icon.
From Figure 11, the voltage
From Figure 14, the voltage
From Figure 17, the voltage
Substitute
Conclusion:
Thus, the value of the voltage
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