Given R1 = 2 kM, R2 = 3 kN, R3 = 8 kN, R4 = 4 kN, and Rf = 30 kM. Calculate the gain, of Circuit 1. Vs

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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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**Text:**

Given \( R_1 = 2 \, \text{k}\Omega, \, R_2 = 3 \, \text{k}\Omega, \, R_3 = 8 \, \text{k}\Omega, \, R_4 = 4 \, \text{k}\Omega, \) and \( R_f = 30 \, \text{k}\Omega \). Calculate the gain, \( \frac{v_o}{v_s} \), of Circuit 1.

**Diagram Explanation:**

The diagram depicts Circuit 1, consisting of a bridge circuit and an operational amplifier (op-amp) in a differential amplifier configuration. 

- **Resistors \( R_1, R_2, R_3, \) and \( R_4 \):** These resistors form a bridge with \( v_s \) as the input voltage source. 
- **Operational Amplifier:** The op-amp has inverting (−) and non-inverting (+) terminals. It amplifies the difference between the voltages at these terminals.
- **Feedback Resistor \( R_f \):** Connected between the output \( v_o \) and the inverting terminal of the op-amp, it controls the gain of the amplifier.

**Circuit Operation:**

1. The input voltage \( v_s \) is applied across the bridge.
2. The op-amp amplifies the difference between the voltages across its inverting and non-inverting inputs.
3. The feedback resistor \( R_f \) determines the gain of the circuit, affecting the output voltage \( v_o \).

**Goal:**

Calculate the gain \( \frac{v_o}{v_s} \) using the given resistor values.
Transcribed Image Text:**Text:** Given \( R_1 = 2 \, \text{k}\Omega, \, R_2 = 3 \, \text{k}\Omega, \, R_3 = 8 \, \text{k}\Omega, \, R_4 = 4 \, \text{k}\Omega, \) and \( R_f = 30 \, \text{k}\Omega \). Calculate the gain, \( \frac{v_o}{v_s} \), of Circuit 1. **Diagram Explanation:** The diagram depicts Circuit 1, consisting of a bridge circuit and an operational amplifier (op-amp) in a differential amplifier configuration. - **Resistors \( R_1, R_2, R_3, \) and \( R_4 \):** These resistors form a bridge with \( v_s \) as the input voltage source. - **Operational Amplifier:** The op-amp has inverting (−) and non-inverting (+) terminals. It amplifies the difference between the voltages at these terminals. - **Feedback Resistor \( R_f \):** Connected between the output \( v_o \) and the inverting terminal of the op-amp, it controls the gain of the amplifier. **Circuit Operation:** 1. The input voltage \( v_s \) is applied across the bridge. 2. The op-amp amplifies the difference between the voltages across its inverting and non-inverting inputs. 3. The feedback resistor \( R_f \) determines the gain of the circuit, affecting the output voltage \( v_o \). **Goal:** Calculate the gain \( \frac{v_o}{v_s} \) using the given resistor values.
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