3. (20 points) Consider the cascade connection of the two amplifiers shown in Figure 3. Vil 2M02 First stage www 500 £2 200 V₁1 + V12 R₁2 150 92 Second stage Roz www 100 S2 50%2 Figure 3. a. Find the current gain A/1 = I12/11 for the first stage. b. Find the current gain A₁2 = 102/12 for the second stage. + V02 RL 500 £2 Load c. Find the overall simplified current model for the cascade connection.

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Just: c. Find the overall simplified current model for the cascade connection.

**Exercise on Cascade Amplifiers (20 points)**

Consider the cascade connection of the two amplifiers shown in Figure 3.

**Diagram Overview:**

Figure 3 shows a cascade connection consisting of two stages:

- **First stage:**
  - Input voltage (\(v_{i1}\)) and input current (\(i_{i1}\)).
  - Resistor (\(R_{i1} = 2 \, \text{M}\Omega\)).
  - Amplifier with gain block labeled \(200 \, v_{i2}\).
  - Output components consist of a resistor (\(R_{o1} = 500 \, \Omega\)) in parallel configuration.

- **Second stage:**
  - Resistor (\(R_{i2} = 150 \, \Omega\)).
  - Amplifier with gain block labeled \(50 \, v_{o2}\).
  - Output components consist of a resistor (\(R_{o2} = 100 \, \Omega\)) in parallel configuration.

- **Load:**
  - Resistor (\(R_L = 500 \, \Omega\)) connected as the load.

**Tasks:**

a. Find the current gain \(A_{i1} = i_{i2}/i_{i1}\) for the first stage.

b. Find the current gain \(A_{i2} = i_{o2}/i_{i2}\) for the second stage.

c. Find the overall simplified current model for the cascade connection.
Transcribed Image Text:**Exercise on Cascade Amplifiers (20 points)** Consider the cascade connection of the two amplifiers shown in Figure 3. **Diagram Overview:** Figure 3 shows a cascade connection consisting of two stages: - **First stage:** - Input voltage (\(v_{i1}\)) and input current (\(i_{i1}\)). - Resistor (\(R_{i1} = 2 \, \text{M}\Omega\)). - Amplifier with gain block labeled \(200 \, v_{i2}\). - Output components consist of a resistor (\(R_{o1} = 500 \, \Omega\)) in parallel configuration. - **Second stage:** - Resistor (\(R_{i2} = 150 \, \Omega\)). - Amplifier with gain block labeled \(50 \, v_{o2}\). - Output components consist of a resistor (\(R_{o2} = 100 \, \Omega\)) in parallel configuration. - **Load:** - Resistor (\(R_L = 500 \, \Omega\)) connected as the load. **Tasks:** a. Find the current gain \(A_{i1} = i_{i2}/i_{i1}\) for the first stage. b. Find the current gain \(A_{i2} = i_{o2}/i_{i2}\) for the second stage. c. Find the overall simplified current model for the cascade connection.
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