5-65 Find vo in the following circuit, 6 mV 50 ΚΩΤ ww R1 Ans: V1 = 6 mV; _V2 = - V1 R2 10 ΚΩ ww R3 30 ΚΩ www V2 R4 20 ΚΩ ww R6 40 ΚΩ 18 mV; Vo= – 21.6 mV www 8 ΚΩ R5 Vo

Introductory Circuit Analysis (13th Edition)
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**Figure Description:**

The circuit diagram shown is an op-amp based configuration with various resistors connected in specific configurations. Below is a detailed explanation:

1. **Voltage Source:** There is a voltage source of 6 mV connected to the circuit.
2. **Resistor and Op-Amp Setup:**
   - **R1 (50 kΩ):** Connected directly to the voltage source and the non-inverting input of the first op-amp.
   - **Op-Amp 1:** The non-inverting input (+) is connected through R1 to the 6 mV source. The output is labeled as \( V_1 \).
   - **R2 (10 kΩ):** Connected from the output of the first op-amp \( V_1 \) to the inverting input (-) of the same op-amp.
3. **Second Stage of the Circuit:**
   - **R3 (30 kΩ):** Connected from the output \( V_1 \) of the first op-amp to the inverting input of the second op-amp.
   - **Op-Amp 2:** The inverting input (-) is connected through R3. The output is labeled as \( V_2 \).
   - **R6 (40 kΩ):** Connected from the inverting input of the second op-amp to the ground.
   - **R4 (20 kΩ):** Connected from the output of the second op-amp \( V_2 \) to the non-inverting input of the same op-amp.
4. **Final Stage of the Circuit:**
   - **R5 (8 kΩ):** Connected from the non-inverting input of the third op-amp to the output of the second op-amp.
   - **Op-Amp 3:** The non-inverting input (+) receives input from \( V_2 \) through R5. The output is indicated as \( v_o \), which is the desired output voltage of the entire circuit.

**Problem Statement:**
- The task is to find \( v_o \) in the given circuit.

**Solution:**
- The answers provided are:
  - \( V_1 = 6 \, \text{mV} \)
  - \( V_2 = -18 \, \text{mV} \)
  - \( v_o = -21.6 \, \text
Transcribed Image Text:**Figure Description:** The circuit diagram shown is an op-amp based configuration with various resistors connected in specific configurations. Below is a detailed explanation: 1. **Voltage Source:** There is a voltage source of 6 mV connected to the circuit. 2. **Resistor and Op-Amp Setup:** - **R1 (50 kΩ):** Connected directly to the voltage source and the non-inverting input of the first op-amp. - **Op-Amp 1:** The non-inverting input (+) is connected through R1 to the 6 mV source. The output is labeled as \( V_1 \). - **R2 (10 kΩ):** Connected from the output of the first op-amp \( V_1 \) to the inverting input (-) of the same op-amp. 3. **Second Stage of the Circuit:** - **R3 (30 kΩ):** Connected from the output \( V_1 \) of the first op-amp to the inverting input of the second op-amp. - **Op-Amp 2:** The inverting input (-) is connected through R3. The output is labeled as \( V_2 \). - **R6 (40 kΩ):** Connected from the inverting input of the second op-amp to the ground. - **R4 (20 kΩ):** Connected from the output of the second op-amp \( V_2 \) to the non-inverting input of the same op-amp. 4. **Final Stage of the Circuit:** - **R5 (8 kΩ):** Connected from the non-inverting input of the third op-amp to the output of the second op-amp. - **Op-Amp 3:** The non-inverting input (+) receives input from \( V_2 \) through R5. The output is indicated as \( v_o \), which is the desired output voltage of the entire circuit. **Problem Statement:** - The task is to find \( v_o \) in the given circuit. **Solution:** - The answers provided are: - \( V_1 = 6 \, \text{mV} \) - \( V_2 = -18 \, \text{mV} \) - \( v_o = -21.6 \, \text
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