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What is the gain for OPAM in figure (a) and (b) when R₁= 2 kohm, R₁ 200 kohm. R₁ V (a) (b) www R₁ • 220 ΚΩ R₁ 10 ΚΩ out

What is the gain for OPAM in figure (a) and (b) when R₁= 2 kohm, R₁ 200 kohm. R₁ V (a) (b) www R₁ • 220 ΚΩ R₁ 10 ΚΩ out

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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### Operational Amplifier (Op-Amp) Gain Analysis **Question:** What is the gain for the op-amp in figure (a) and (b) when \( R_i = 2 \text{ kΩ}, R_f = 200 \text{ kΩ} \)? #### Figure Details and Gain Calculation ##### Figure (a): Non-Inverting Amplifier Configuration * **Diagram Description:** - The schematic depicts a non-inverting amplifier circuit. - The non-inverting input (+) is connected to a voltage source \( V_{in} \). - The inverting input (-) is connected to ground through resistor \( R_i \) and to the output voltage \( V_{out} \) through feedback resistor \( R_f \). * **Gain Formula:** - For a non-inverting amplifier, the voltage gain \( A_v \) is given by the formula: \[ A_v = 1 + \frac{R_f}{R_i} \] - Substituting \( R_i = 2 \text{ kΩ} \) and \( R_f = 200 \text{ kΩ} \): \[ A_v = 1 + \frac{200 \text{ kΩ}}{2 \text{ kΩ}} = 1 + 100 = 101 \] - **Gain:** \( A_v = 101 \). ##### Figure (b): Inverting Amplifier Configuration * **Diagram Description:** - The schematic illustrates an inverting amplifier circuit. - The inverting input (-) is connected to the input voltage \( V_{in} \) through resistor \( R_i \). - The non-inverting input (+) is grounded. - The feedback resistor \( R_f \) is placed between the output voltage \( V_{out} \) and the inverting input (-). * **Gain Formula:** - For an inverting amplifier, the voltage gain \( A_v \) is given by the formula: \[ A_v = -\frac{R_f}{R_i} \] - Substituting \( R_i = 2 \text{ kΩ} \) and \( R_f = 200 \text{ kΩ} \): \[ A_v = -\frac{200 \text{ kΩ}}{2 \text{ k
Transcribed Image Text:### Operational Amplifier (Op-Amp) Gain Analysis **Question:** What is the gain for the op-amp in figure (a) and (b) when \( R_i = 2 \text{ kΩ}, R_f = 200 \text{ kΩ} \)? #### Figure Details and Gain Calculation ##### Figure (a): Non-Inverting Amplifier Configuration * **Diagram Description:** - The schematic depicts a non-inverting amplifier circuit. - The non-inverting input (+) is connected to a voltage source \( V_{in} \). - The inverting input (-) is connected to ground through resistor \( R_i \) and to the output voltage \( V_{out} \) through feedback resistor \( R_f \). * **Gain Formula:** - For a non-inverting amplifier, the voltage gain \( A_v \) is given by the formula: \[ A_v = 1 + \frac{R_f}{R_i} \] - Substituting \( R_i = 2 \text{ kΩ} \) and \( R_f = 200 \text{ kΩ} \): \[ A_v = 1 + \frac{200 \text{ kΩ}}{2 \text{ kΩ}} = 1 + 100 = 101 \] - **Gain:** \( A_v = 101 \). ##### Figure (b): Inverting Amplifier Configuration * **Diagram Description:** - The schematic illustrates an inverting amplifier circuit. - The inverting input (-) is connected to the input voltage \( V_{in} \) through resistor \( R_i \). - The non-inverting input (+) is grounded. - The feedback resistor \( R_f \) is placed between the output voltage \( V_{out} \) and the inverting input (-). * **Gain Formula:** - For an inverting amplifier, the voltage gain \( A_v \) is given by the formula: \[ A_v = -\frac{R_f}{R_i} \] - Substituting \( R_i = 2 \text{ kΩ} \) and \( R_f = 200 \text{ kΩ} \): \[ A_v = -\frac{200 \text{ kΩ}}{2 \text{ k
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