4. 3V de 10K 2K mr Vo S

Introductory Circuit Analysis (13th Edition)
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**Title: Analyzing Output Voltage in Various Op-Amp Circuits**

**Objective:**  
Determine the output voltage, \( V_o \), in the circuits below.

---

**Circuit 1:**

- **Components:**
  - Input voltage: 10 V (DC) with 1 kHz sine wave
  - Resistors: 5K, 10K

- **Diagram Description:**
  - The circuit features an operational amplifier (op-amp) with a feedback loop consisting of a 10K resistor.
  - The input voltage is connected through a 5K resistor to the inverting input of the op-amp.
  - The non-inverting input is grounded.

**Analysis Required:** Calculate \( V_o \) using the given values.

---

**Circuit 2:**

- **Components:**
  - Input voltage: 1 V (peak) triangle wave at 1 kHz
  - Capacitor: 1 µF

- **Diagram Description:**
  - An op-amp is shown with a capacitor connected between the inverting input and the ground.
  - A triangle wave generator provides the input voltage.
  - A resistor is used to connect the input voltage to the inverting input of the op-amp.

**Task:** Sketch \( V_{in} \) above \( V_o \) over time to analyze changes in the waveform.

---

**Circuit 3:**

- **Components:**
  - DC voltages: 1 V, 2 V
  - Resistors: 10K (two), 5K

- **Diagram Description:**
  - This configuration uses two op-amps.
  - The first op-amp receives a 1 V DC input through a 10K resistor to the inverting terminal.
  - A feedback loop is established with another 10K resistor.
  - A second op-amp is added with inputs from the first op-amp and a 2 V DC source.

**Analysis Required:** Determine \( V_o \) using both inputs and feedback paths.

---

**Circuit 4:**

- **Components:**
  - Input voltage: 3 V (DC)
  - Resistors: 10K

- **Diagram Description:**
  - An op-amp receives a 3 V DC input through a resistor connected to its inverting input.
  - The non-inverting input is grounded.

**Analysis Required:**
Transcribed Image Text:**Title: Analyzing Output Voltage in Various Op-Amp Circuits** **Objective:** Determine the output voltage, \( V_o \), in the circuits below. --- **Circuit 1:** - **Components:** - Input voltage: 10 V (DC) with 1 kHz sine wave - Resistors: 5K, 10K - **Diagram Description:** - The circuit features an operational amplifier (op-amp) with a feedback loop consisting of a 10K resistor. - The input voltage is connected through a 5K resistor to the inverting input of the op-amp. - The non-inverting input is grounded. **Analysis Required:** Calculate \( V_o \) using the given values. --- **Circuit 2:** - **Components:** - Input voltage: 1 V (peak) triangle wave at 1 kHz - Capacitor: 1 µF - **Diagram Description:** - An op-amp is shown with a capacitor connected between the inverting input and the ground. - A triangle wave generator provides the input voltage. - A resistor is used to connect the input voltage to the inverting input of the op-amp. **Task:** Sketch \( V_{in} \) above \( V_o \) over time to analyze changes in the waveform. --- **Circuit 3:** - **Components:** - DC voltages: 1 V, 2 V - Resistors: 10K (two), 5K - **Diagram Description:** - This configuration uses two op-amps. - The first op-amp receives a 1 V DC input through a 10K resistor to the inverting terminal. - A feedback loop is established with another 10K resistor. - A second op-amp is added with inputs from the first op-amp and a 2 V DC source. **Analysis Required:** Determine \( V_o \) using both inputs and feedback paths. --- **Circuit 4:** - **Components:** - Input voltage: 3 V (DC) - Resistors: 10K - **Diagram Description:** - An op-amp receives a 3 V DC input through a resistor connected to its inverting input. - The non-inverting input is grounded. **Analysis Required:**
Expert Solution
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In this question 4,

We need to determine the output voltage Vo 

We are solving this problem using the virtual property of the op amplifier. 

 

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