Concept explainers
Use the superposition principle to find io and vo in the circuit of Fig. 4.79.
Figure 4.79
Find the value of the voltage
Answer to Problem 11P
The value of the voltage
Explanation of Solution
Given data:
Refer to Figure 4.79 in the textbook.
Calculation:
The circuit in Figure 4.79 involves a current-controlled current source, which must be left intact. Let
Where
To obtain
Apply nodal analysis at node
Apply nodal analysis at node
Rearranging the equation (3),
In Figure 1, the current
Substitute
Rearranging the equation (6),
Substitute
Rearrange the equation (8) to find the node voltage
Substitute
The voltage
Substitute
To obtain
Apply nodal analysis at node
In Figure 2, the resistors 10 ohms and 40 ohms are connected in series. Therefore, the equivalent resistance for series connection is,
The modified circuit is shown in Figure 3.
In Figure 3, the current
Substitute
The equation (12) becomes,
Rearrange the equation (13) to find the node voltage
Substitute
Therefore, in Figure 2 the voltage
Substitute
Substitute
In Figure 4.79, the current
PSPICE Simulation:
In the given circuit, since there are two sources, let
Where
When
Draw the circuit diagram in PSPICE as shown in Figure 4.
Save the circuit and provide the Simulation Settings as shown in Figure 5.
Now run the simulation and the results will be displayed as shown in Figure 6 by enabling “Enable Bias Voltage Display” icon and “Enable Bias Current Display” icon.
From Figure 6, the voltage
When
Draw the circuit diagram in PSPICE as shown in Figure 7.
Save the circuit and provide the Simulation Settings as shown in Figure 8.
Now run the simulation and the results will be displayed as shown in Figure 9 by enabling “Enable Bias Voltage Display” icon and “Enable Bias Current Display” icon.
From Figure 9, the voltage
Therefore, the total voltage
Substitute
The current
Substitute 18 for
Conclusion:
Thus, the value of the voltage
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Chapter 4 Solutions
Fundamentals of Electric Circuits
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