Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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### Node Analysis and Op-Amp Circuit Explanation #### Objective: To determine the model equation for \( V_{\text{out}} \) in terms of \( V_{\text{pot}} \) using node analysis, and calculate \( V_{\text{out}} \) for each value of \( V_{\text{pot}} \). #### Circuit Description: The circuit comprises a power source, resistors, a potentiometer, and an operational amplifier (op-amp). - **Power Source:** 9V DC supply. - **Resistors:** - \( R9 = 10k\Omega \) - \( R8 = 1k\Omega \) - \( R7 = 10k\Omega \) - \( R6 = 1k\Omega \) - **Potentiometer:** \( \text{SET} = 0.5 \), which determines the wiper position for \( V_{\text{pot}} \). - **Op-Amp Configuration:** - Non-inverting terminal (+) connected to \( V_{\text{pot}} \) through \( R8 \). - Feedback is provided from the output \( V_{\text{out}} \) through \( R6 \) to the inverting terminal (-). - Additional feedback through \( R7 \). #### Procedure: 1. **Node Analysis:** - Apply Kirchhoff's laws to find relationships between voltages and currents in the circuit. - Use the properties of the op-amp, assuming ideal conditions \( V_{\text{+}} = V_{\text{-}} \). 2. **Equation Derivation:** - Use the voltage divider rule for \( V_{\text{pot}} \) and apply gain equations for the op-amp to find \( V_{\text{out}} \) in terms of \( V_{\text{pot}} \). 3. **Calculation:** - Substitute different values of \( V_{\text{pot}} \) to obtain corresponding \( V_{\text{out}} \). ### Key Concepts: - **Op-Amp Properties:** In an ideal op-amp, the input impedance is infinite, and the output is driven to balance the input differential voltage, resulting in \( V_{\text{+}} = V_{\text{-}} \). - **Voltage Divider Rule:** Used to calculate \( V_{\text{pot}} \) from the potentiometer configuration. This exercise
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Transcribed Image Text:### Node Analysis and Op-Amp Circuit Explanation #### Objective: To determine the model equation for \( V_{\text{out}} \) in terms of \( V_{\text{pot}} \) using node analysis, and calculate \( V_{\text{out}} \) for each value of \( V_{\text{pot}} \). #### Circuit Description: The circuit comprises a power source, resistors, a potentiometer, and an operational amplifier (op-amp). - **Power Source:** 9V DC supply. - **Resistors:** - \( R9 = 10k\Omega \) - \( R8 = 1k\Omega \) - \( R7 = 10k\Omega \) - \( R6 = 1k\Omega \) - **Potentiometer:** \( \text{SET} = 0.5 \), which determines the wiper position for \( V_{\text{pot}} \). - **Op-Amp Configuration:** - Non-inverting terminal (+) connected to \( V_{\text{pot}} \) through \( R8 \). - Feedback is provided from the output \( V_{\text{out}} \) through \( R6 \) to the inverting terminal (-). - Additional feedback through \( R7 \). #### Procedure: 1. **Node Analysis:** - Apply Kirchhoff's laws to find relationships between voltages and currents in the circuit. - Use the properties of the op-amp, assuming ideal conditions \( V_{\text{+}} = V_{\text{-}} \). 2. **Equation Derivation:** - Use the voltage divider rule for \( V_{\text{pot}} \) and apply gain equations for the op-amp to find \( V_{\text{out}} \) in terms of \( V_{\text{pot}} \). 3. **Calculation:** - Substitute different values of \( V_{\text{pot}} \) to obtain corresponding \( V_{\text{out}} \). ### Key Concepts: - **Op-Amp Properties:** In an ideal op-amp, the input impedance is infinite, and the output is driven to balance the input differential voltage, resulting in \( V_{\text{+}} = V_{\text{-}} \). - **Voltage Divider Rule:** Used to calculate \( V_{\text{pot}} \) from the potentiometer configuration. This exercise
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