Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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Question
**Question:** Please explain what is the best method to calculate the Thevenin equivalent circuit when the circuit has an independent, dependent? **Explanation:** For circuits containing both independent and dependent sources, calculating the Thevenin equivalent can generally be approached in the following way: 1. **Identify the Portion of the Circuit**: First, identify the two terminals across which you need to find the Thevenin equivalent. 2. **Remove the Load**: If there is a load resistor connected across these terminals, temporarily remove it. 3. **Determine Thevenin Voltage (\(V_{TH}\))**: - Use mesh or nodal analysis to find the open-circuit voltage across the terminals. This voltage is considered \(V_{TH}\). 4. **Determine Thevenin Resistance (\(R_{TH}\))**: - **Deactivate all Independent Sources**: Replace independent voltage sources with short circuits and independent current sources with open circuits. - **Keep Dependent Sources Active**: You must leave dependent sources in their original form. - Now, apply a test voltage or test current at the open terminals to calculate the equivalent resistance (\(R_{TH}\)). Use Ohm's law by finding the ratio of voltage to current at the terminals. 5. **Construct Thevenin Equivalent Circuit**: - Combine the \(V_{TH}\) and \(R_{TH}\) values to form a simple series circuit with a voltage source (\(V_{TH}\)) and a resistor (\(R_{TH}\)). This method ensures that both independent and dependent sources are properly accounted for, providing an accurate Thevenin equivalent. **Additional Notes**: - Care should be taken with dependent sources; remember that their values depend on circuit variables.
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Transcribed Image Text:**Question:** Please explain what is the best method to calculate the Thevenin equivalent circuit when the circuit has an independent, dependent? **Explanation:** For circuits containing both independent and dependent sources, calculating the Thevenin equivalent can generally be approached in the following way: 1. **Identify the Portion of the Circuit**: First, identify the two terminals across which you need to find the Thevenin equivalent. 2. **Remove the Load**: If there is a load resistor connected across these terminals, temporarily remove it. 3. **Determine Thevenin Voltage (\(V_{TH}\))**: - Use mesh or nodal analysis to find the open-circuit voltage across the terminals. This voltage is considered \(V_{TH}\). 4. **Determine Thevenin Resistance (\(R_{TH}\))**: - **Deactivate all Independent Sources**: Replace independent voltage sources with short circuits and independent current sources with open circuits. - **Keep Dependent Sources Active**: You must leave dependent sources in their original form. - Now, apply a test voltage or test current at the open terminals to calculate the equivalent resistance (\(R_{TH}\)). Use Ohm's law by finding the ratio of voltage to current at the terminals. 5. **Construct Thevenin Equivalent Circuit**: - Combine the \(V_{TH}\) and \(R_{TH}\) values to form a simple series circuit with a voltage source (\(V_{TH}\)) and a resistor (\(R_{TH}\)). This method ensures that both independent and dependent sources are properly accounted for, providing an accurate Thevenin equivalent. **Additional Notes**: - Care should be taken with dependent sources; remember that their values depend on circuit variables.
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