10 mV www 50 ΚΩ 10 ΚΩ 20 ΚΩ 60 ΚΩ 30 ΚΩ
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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Calculate ix and v0 in the circuit attached. Assume that the output of the Op-Amp is constrained to lie between -15V and 15V.

Transcribed Image Text:### Operational Amplifier Circuit Analysis
#### Circuit Description:
The image presents a basic operational amplifier (op-amp) circuit with several resistors and a voltage source. This circuit can be analyzed to determine various electrical parameters, such as voltage, current, and resistance.
#### Components:
1. **Voltage Source:**
- A 10 mV voltage source is connected to the input of the circuit.
2. **Resistors:**
- There are five resistors in the circuit with the following resistances:
- 10 kΩ
- 50 kΩ
- 20 kΩ
- 60 kΩ
- 30 kΩ
3. **Operational Amplifier (Op-Amp):**
- An operational amplifier is connected with its non-inverting input (+) connected to the voltage source and the inverting input (-) connected to the junction of the 10 kΩ and 50 kΩ resistors.
- The op-amp is configured in a closed-loop setup.
4. **Output:**
- The output voltage \( v_o \) is taken across the 30 kΩ resistor connected in parallel with the 60 kΩ resistor.
#### Circuit Operation:
- The circuit operates by amplifying the voltage provided by the voltage source through the operational amplifier.
- The current \( i_x \) flows through the 20 kΩ resistor, which lies between the output of the operational amplifier and the junction where the 60 kΩ and 30 kΩ resistors are connected.
#### Analysis:
- The analysis of this circuit would involve applying Kirchhoff's Voltage Law (KVL) and Kirchhoff's Current Law (KCL) to find the various voltages and currents at different points in the circuit.
- Employing the concept of virtual short (the principle that the voltage difference between the inverting and non-inverting terminals of an ideal op-amp is zero), we can find expressions for \( v_o \) (output voltage) and \( i_x \) (current through 20 kΩ resistor).
This basic operational amplifier circuit is essential for understanding how op-amps function in amplifying signals in various electronic applications.
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