10 mV www 50 ΚΩ 10 ΚΩ 20 ΚΩ 60 ΚΩ 30 ΚΩ

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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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.
### 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.
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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