Figure 1.21 shows another amplifier topology. Compute the gain. + Vn iO9, Vn RL v out Vin Figure 1.21

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**Transcription and Explanation for Educational Website:**

**Description:**

The image illustrates an amplifier circuit topology, as highlighted in the figure labeled "Figure 1.21." The task is to compute the gain of the amplifier. This diagram is crucial for understanding the relationships between various components in an amplifier circuit and deducing the overall voltage gain.

**Circuit Components:**

- **\( v_{\text{in}} \):** The input voltage source.
- **\( r_{\pi} \):** The input resistance of the amplifier, marked as a resistor.
- **\( v_{\pi} \):** The voltage across the input resistance.
- **\( i_{\pi} \):** The current flowing through the input resistance.
- **\( g_{m}v_{\pi} \):** A dependent current source modeled as the transconductance (\( g_{m} \)) multiplying the voltage (\( v_{\pi} \)) across the input resistance.
- **\( R_{L} \):** The load resistance connected to the output.
- **\( v_{\text{out}} \):** The output voltage across the load resistance.
- **Ground Symbols:** Indicate the common reference potential for the circuit.

By analyzing the structure of this amplifier circuit, important characteristics like the gain can be deciphered using formulas that relate these parameters in a potentially practical scenario or problem-solving approach.
Transcribed Image Text:**Transcription and Explanation for Educational Website:** **Description:** The image illustrates an amplifier circuit topology, as highlighted in the figure labeled "Figure 1.21." The task is to compute the gain of the amplifier. This diagram is crucial for understanding the relationships between various components in an amplifier circuit and deducing the overall voltage gain. **Circuit Components:** - **\( v_{\text{in}} \):** The input voltage source. - **\( r_{\pi} \):** The input resistance of the amplifier, marked as a resistor. - **\( v_{\pi} \):** The voltage across the input resistance. - **\( i_{\pi} \):** The current flowing through the input resistance. - **\( g_{m}v_{\pi} \):** A dependent current source modeled as the transconductance (\( g_{m} \)) multiplying the voltage (\( v_{\pi} \)) across the input resistance. - **\( R_{L} \):** The load resistance connected to the output. - **\( v_{\text{out}} \):** The output voltage across the load resistance. - **Ground Symbols:** Indicate the common reference potential for the circuit. By analyzing the structure of this amplifier circuit, important characteristics like the gain can be deciphered using formulas that relate these parameters in a potentially practical scenario or problem-solving approach.
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