Op-Amps

calendar_today June 25, 2025 article 131 words access_time 2 min replay Modified July 1, 2025

Table of Contents

Introduction

Definition 04.1 (Operational Amplifier).

High-gain voltage amplifiers with differential inputs and a single-ended output. Features:

$$ V_{\text{out}} = -V_{\text{in}}\frac{R_{f}}{R_{\text{in}}}$$

$$ V_{\text{out}} = -V_{\text{in}} \frac{Z_{f}}{Z_{\text{in}}}$$

$$V_{\text{out}} = V_{\text{in}}\left(1+\frac{R_{f}}{R_{\text{in}}}\right)$$

$$V_{\text{out}} = V_{\text{in}}\left(1+\frac{Z_{f}}{Z_{\text{in}}}\right)$$

$$V_{\text{out}} = V_{\text{in}}$$

$$V_{\text{out}} = \frac{R_{f}}{R_{\text{in}}} \left(V_{2}-V_{1}\right)$$

$$V_{\text{out}} = -\frac{1}{R_{\text{in}}C}\int V_{\text{in}} \, \mathrm{d}t$$

$$V_{\text{out}} = -R_{f}C \frac{\mathrm{d}V_{\text{in}}}{\mathrm{d}t}$$

$$V_{\text{out}} = -V_{\text{in}}\left(\frac{Z_{f}}{Z_{\text{in}}}\right)$$

Example 04.2.

Inverting Amplifier Frequency Response Worked Out Example

Example 04.3.

Non-Inverting Amplifier Frequency Response Worked Out Example

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