3.For the op amp circuit shown, determine the value of VI in order to make Vo =-14 V 30 KL 15KQ 3V + + Vo the

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**Op Amp Circuit Analysis**

**Problem Statement:**
For the op amp circuit shown, determine the value of \( V_1 \) in order to make \( V_o = 14 \, \text{V} \).

**Circuit Description:**
- The circuit is based on a single operational amplifier (op amp).
- Inputs are given as three different voltage sources:
  - \( 3 \, \text{V} \)
  - \( V_1 \) (unknown, to be determined)
  - \( -2 \, \text{V} \)

**Resistors Configuration:**
- Three resistors are connected to the inverting input (\(-\)) of the op amp:
  - \( 15 \, \text{k}\Omega \) resistor connected to the \( 3 \, \text{V} \) source
  - \( 10 \, \text{k}\Omega \) resistor connected to the \( V_1 \) source
  - \( 6 \, \text{k}\Omega \) resistor connected to the \(-2 \, \text{V} \) source

- A feedback resistor of \( 30 \, \text{k}\Omega \) is connected between the output and the inverting input (\(-\)) of the op amp.

**Non-Inverting Input:**
- The non-inverting input (\(+\)) is grounded.

**Objective:**
- Calculate the value of \( V_1 \) to achieve an output voltage \( V_o \) of \( 14 \, \text{V} \).

This circuit performs a weighted summation of the input voltages at the inverting terminal, and you need to apply the concept of superposition and op amp linear characteristics to solve for \( V_1 \).
Transcribed Image Text:**Op Amp Circuit Analysis** **Problem Statement:** For the op amp circuit shown, determine the value of \( V_1 \) in order to make \( V_o = 14 \, \text{V} \). **Circuit Description:** - The circuit is based on a single operational amplifier (op amp). - Inputs are given as three different voltage sources: - \( 3 \, \text{V} \) - \( V_1 \) (unknown, to be determined) - \( -2 \, \text{V} \) **Resistors Configuration:** - Three resistors are connected to the inverting input (\(-\)) of the op amp: - \( 15 \, \text{k}\Omega \) resistor connected to the \( 3 \, \text{V} \) source - \( 10 \, \text{k}\Omega \) resistor connected to the \( V_1 \) source - \( 6 \, \text{k}\Omega \) resistor connected to the \(-2 \, \text{V} \) source - A feedback resistor of \( 30 \, \text{k}\Omega \) is connected between the output and the inverting input (\(-\)) of the op amp. **Non-Inverting Input:** - The non-inverting input (\(+\)) is grounded. **Objective:** - Calculate the value of \( V_1 \) to achieve an output voltage \( V_o \) of \( 14 \, \text{V} \). This circuit performs a weighted summation of the input voltages at the inverting terminal, and you need to apply the concept of superposition and op amp linear characteristics to solve for \( V_1 \).
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