Determine the input and output impedances of the given amplifier. The op-amp datasheet gives: Zin = 2 Mohm, Zout = 75 ohm, A = 200000. Find the Closed-loop voltage gain. www OV 220 ΚΩ R₁ 10 ΚΩ out

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**Problem**

- **Determine the input and output impedances of the given amplifier. The op-amp datasheet gives:**
  - \( Z_{in} = 2 \text{ MΩ} \)
  - \( Z_{out} = 75 \text{ Ω} \)
  - \( A_{ol} = 200000 \)
  
- **Find the Closed-loop voltage gain.**

**Diagram Analysis:**

The diagram below illustrates an operational amplifier (op-amp) in a closed-loop configuration with the following components:

- A feedback resistor \( R_f = 220 \text{ kΩ} \)
- An input resistor \( R_i = 10 \text{ kΩ} \)

In the circuit:
- \( V_{in} \) represents the input voltage.
- \( V_{out} \) represents the output voltage.

![Op-Amp Circuit](link_to_image)

From the diagram, the voltage gain (\( V_{out}/V_{in} \)) of the system can be calculated using the values of \( R_f \) and \( R_i \). 

The closed-loop voltage gain \( A_{cl} \) for a non-inverting amplifier can be calculated using the formula:

\[ A_{cl} = 1 + \frac{R_f}{R_i} \]

Given:
- \( R_f = 220 \text{ kΩ} \)
- \( R_i = 10 \text{ kΩ} \)

This educational problem encourages students to apply their knowledge of operational amplifiers to find specific parameters and understand circuit operations.
Transcribed Image Text:**Problem** - **Determine the input and output impedances of the given amplifier. The op-amp datasheet gives:** - \( Z_{in} = 2 \text{ MΩ} \) - \( Z_{out} = 75 \text{ Ω} \) - \( A_{ol} = 200000 \) - **Find the Closed-loop voltage gain.** **Diagram Analysis:** The diagram below illustrates an operational amplifier (op-amp) in a closed-loop configuration with the following components: - A feedback resistor \( R_f = 220 \text{ kΩ} \) - An input resistor \( R_i = 10 \text{ kΩ} \) In the circuit: - \( V_{in} \) represents the input voltage. - \( V_{out} \) represents the output voltage. ![Op-Amp Circuit](link_to_image) From the diagram, the voltage gain (\( V_{out}/V_{in} \)) of the system can be calculated using the values of \( R_f \) and \( R_i \). The closed-loop voltage gain \( A_{cl} \) for a non-inverting amplifier can be calculated using the formula: \[ A_{cl} = 1 + \frac{R_f}{R_i} \] Given: - \( R_f = 220 \text{ kΩ} \) - \( R_i = 10 \text{ kΩ} \) This educational problem encourages students to apply their knowledge of operational amplifiers to find specific parameters and understand circuit operations.
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