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Va + | 40ΚΩ I 30ΚΩ Μ 20kΩ ww 200kΩΣ 220kΩ Μ + Ud + Vo P m • 20kΩ

Va + | 40ΚΩ I 30ΚΩ Μ 20kΩ ww 200kΩΣ 220kΩ Μ + Ud + Vo P m • 20kΩ

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Can you please show me what equation you use and calculate:

Find the voltage vo assuming the op amp is ideal and the voltages are va = 3, vb = 9, vc = 5, and vd = 6

The image depicts an operational amplifier (op-amp) circuit with multiple input voltages and resistors configured in a summing amplifier setup. Here's a detailed description: **Components and Configuration:** 1. **Resistors:** - A 40 kΩ resistor is connected to the input voltage \( v_a \). - A 30 kΩ resistor is connected to the input voltage \( v_b \). - A 20 kΩ resistor is connected to the input voltage \( v_c \). - A 200 kΩ resistor is connected in parallel to these inputs and is grounded. - A 220 kΩ feedback resistor is connected from the output of the op-amp to its inverting input. - A 20 kΩ resistor is connected from the output voltage \( v_o \) to the ground. 2. **Voltage Inputs:** - \( v_a \), \( v_b \), and \( v_c \) are input voltages connected to the non-inverting input through their respective resistors. - \( v_d \) is a voltage source that is grounded and connected to the inverting input. 3. **Operational Amplifier:** - The op-amp has a triangle symbol with the inverting (-) and non-inverting (+) inputs marked. - The non-inverting input receives the combined effect of the input voltages through the resistor network. **Functionality:** This circuit sums multiple input voltages (\( v_a \), \( v_b \), \( v_c \)) through weighted resistors before being fed into the op-amp. The op-amp outputs a voltage (\( v_o \)) that is a linear combination of these inputs, scaled by the resistor values. The feedback configuration stabilizes the op-amp and controls the gain of the circuit. This setup is typically used to perform addition of voltages in signal processing applications.
Transcribed Image Text:The image depicts an operational amplifier (op-amp) circuit with multiple input voltages and resistors configured in a summing amplifier setup. Here's a detailed description: **Components and Configuration:** 1. **Resistors:** - A 40 kΩ resistor is connected to the input voltage \( v_a \). - A 30 kΩ resistor is connected to the input voltage \( v_b \). - A 20 kΩ resistor is connected to the input voltage \( v_c \). - A 200 kΩ resistor is connected in parallel to these inputs and is grounded. - A 220 kΩ feedback resistor is connected from the output of the op-amp to its inverting input. - A 20 kΩ resistor is connected from the output voltage \( v_o \) to the ground. 2. **Voltage Inputs:** - \( v_a \), \( v_b \), and \( v_c \) are input voltages connected to the non-inverting input through their respective resistors. - \( v_d \) is a voltage source that is grounded and connected to the inverting input. 3. **Operational Amplifier:** - The op-amp has a triangle symbol with the inverting (-) and non-inverting (+) inputs marked. - The non-inverting input receives the combined effect of the input voltages through the resistor network. **Functionality:** This circuit sums multiple input voltages (\( v_a \), \( v_b \), \( v_c \)) through weighted resistors before being fed into the op-amp. The op-amp outputs a voltage (\( v_o \)) that is a linear combination of these inputs, scaled by the resistor values. The feedback configuration stabilizes the op-amp and controls the gain of the circuit. This setup is typically used to perform addition of voltages in signal processing applications.
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