Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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**Problem 2: Operational Amplifier Circuits Analysis**

Assuming ideal operational amplifiers (op amps), find the voltage gain \( \frac{v_0}{v_{in}} \) and input resistance \( R_{in} \) in each of the following circuits in Figure P2.8.

**Figure P2.8: Operational Amplifier Circuits**
- **(a)** The circuit features an inverting configuration: 
  - The non-inverting input (+) is grounded.
  - The inverting input (-) is connected via a 20 kΩ resistor to the input voltage \( v_{in} \).
  - A feedback resistor of 100 kΩ is connected from the output \( v_0 \) to the inverting input (-).

- **(b)** This circuit is a non-inverting configuration:
  - The non-inverting input (+) is connected to the input voltage \( v_{in} \) via a 20 kΩ resistor.
  - The inverting input (-) is grounded through the same 20 kΩ resistor.
  - A feedback resistor of 100 kΩ is connected from the output \( v_0 \) to the inverting input (-).

- **(c)** This represents another inverting amplifier setup:
  - The non-inverting input (+) is grounded.
  - The input voltage \( v_{in} \) is connected to the inverting input (-) via a 20 kΩ resistor.
  - There is a feedback resistor of 100 kΩ from the output \( v_0 \) to the inverting input (-).
  - An additional 20 kΩ resistor is connected from the + power supply to the inverting input (-).

- **(d)** This circuit illustrates a non-inverting amplifier configuration:
  - The input voltage \( v_{in} \) is connected directly to the non-inverting (+) input.
  - A 20 kΩ resistor is connected from the inverting input (-) to the ground.
  - A feedback resistor of 100 kΩ is connected from the output \( v_0 \) to the inverting input (-).
  - Another 20 kΩ resistor is connected from the + power supply to the inverting input (-).

**Task:**
Analyze each circuit given the ideal op-amp conditions, determining the voltage gain \( \frac{v_0}{v_{in}} \) and input resistance
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Transcribed Image Text:**Problem 2: Operational Amplifier Circuits Analysis** Assuming ideal operational amplifiers (op amps), find the voltage gain \( \frac{v_0}{v_{in}} \) and input resistance \( R_{in} \) in each of the following circuits in Figure P2.8. **Figure P2.8: Operational Amplifier Circuits** - **(a)** The circuit features an inverting configuration: - The non-inverting input (+) is grounded. - The inverting input (-) is connected via a 20 kΩ resistor to the input voltage \( v_{in} \). - A feedback resistor of 100 kΩ is connected from the output \( v_0 \) to the inverting input (-). - **(b)** This circuit is a non-inverting configuration: - The non-inverting input (+) is connected to the input voltage \( v_{in} \) via a 20 kΩ resistor. - The inverting input (-) is grounded through the same 20 kΩ resistor. - A feedback resistor of 100 kΩ is connected from the output \( v_0 \) to the inverting input (-). - **(c)** This represents another inverting amplifier setup: - The non-inverting input (+) is grounded. - The input voltage \( v_{in} \) is connected to the inverting input (-) via a 20 kΩ resistor. - There is a feedback resistor of 100 kΩ from the output \( v_0 \) to the inverting input (-). - An additional 20 kΩ resistor is connected from the + power supply to the inverting input (-). - **(d)** This circuit illustrates a non-inverting amplifier configuration: - The input voltage \( v_{in} \) is connected directly to the non-inverting (+) input. - A 20 kΩ resistor is connected from the inverting input (-) to the ground. - A feedback resistor of 100 kΩ is connected from the output \( v_0 \) to the inverting input (-). - Another 20 kΩ resistor is connected from the + power supply to the inverting input (-). **Task:** Analyze each circuit given the ideal op-amp conditions, determining the voltage gain \( \frac{v_0}{v_{in}} \) and input resistance
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