R TREF V₁0- ww 2₁ +1 V -IV 12 6 kn Q3 2₂ -0 V3 -O V₂

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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For the circuit below, let K n’ = 400μA/V^2, Vt = 0.4V, λ = 0, L = 0.4μm, W1 = 2μm, and W2 =
W3 = 10μm.
a) Find R to obtain a reference current I REF = 40 μA.
b) Find the values of V 1, I 2, V 2, and V3.

This image shows a schematic diagram of a differential amplifier circuit with bipolar junction transistors (BJTs). 

### Components and Connections:

1. **Transistors**
   - **Q1 and Q2**: These are the main transistors of the differential pair, with their emitters connected together and to a negative voltage source of \(-1 \, \text{V}\).
   - **Q3**: This transistor is connected in a current mirror configuration with Q2.

2. **Resistors**
   - **R**: Connected to the base of \(Q_1\) and a reference current \(I_{\text{REF}}\) flows through it. The resistor is connected to a positive voltage source of \(+1\, \text{V}\).
   - **6 kΩ Resistor**: Connected to the collector of \(Q_3\), providing the collector load. It is also connected to the positive voltage source.

3. **Currents and Voltages**
   - \(I_{\text{REF}}\): The reference current flowing through resistor \(R\).
   - \(I_2\): The current flowing through the 6 kΩ resistor and transistors \(Q_3\) and \(Q_2\).
   - \(V_1\), \(V_2\), \(V_3\): The voltages at different nodes in the circuit, corresponding to the base of \(Q_1\), the collector of \(Q_2\), and the collector of \(Q_3\) respectively.

4. **Connections**
   - The base of \(Q_1\) is connected to input voltage \(V_1\).
   - The bases of \(Q_2\) and \(Q_3\) are connected, serving as a mirror configuration to maintain equal currents.

### Explanation:
This configuration is typically used to amplify the difference between two input signals, \(V_1\) and the base voltage of \(Q_2\). The current mirror, consisting of \(Q_2\) and \(Q_3\), helps in creating a stable current source for the circuit. This setup is commonly used in analog integrated circuits.
Transcribed Image Text:This image shows a schematic diagram of a differential amplifier circuit with bipolar junction transistors (BJTs). ### Components and Connections: 1. **Transistors** - **Q1 and Q2**: These are the main transistors of the differential pair, with their emitters connected together and to a negative voltage source of \(-1 \, \text{V}\). - **Q3**: This transistor is connected in a current mirror configuration with Q2. 2. **Resistors** - **R**: Connected to the base of \(Q_1\) and a reference current \(I_{\text{REF}}\) flows through it. The resistor is connected to a positive voltage source of \(+1\, \text{V}\). - **6 kΩ Resistor**: Connected to the collector of \(Q_3\), providing the collector load. It is also connected to the positive voltage source. 3. **Currents and Voltages** - \(I_{\text{REF}}\): The reference current flowing through resistor \(R\). - \(I_2\): The current flowing through the 6 kΩ resistor and transistors \(Q_3\) and \(Q_2\). - \(V_1\), \(V_2\), \(V_3\): The voltages at different nodes in the circuit, corresponding to the base of \(Q_1\), the collector of \(Q_2\), and the collector of \(Q_3\) respectively. 4. **Connections** - The base of \(Q_1\) is connected to input voltage \(V_1\). - The bases of \(Q_2\) and \(Q_3\) are connected, serving as a mirror configuration to maintain equal currents. ### Explanation: This configuration is typically used to amplify the difference between two input signals, \(V_1\) and the base voltage of \(Q_2\). The current mirror, consisting of \(Q_2\) and \(Q_3\), helps in creating a stable current source for the circuit. This setup is commonly used in analog integrated circuits.
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