Op Amp Voltage Gain Calculator

Accurate gain (Av) and output voltage for inverting, non‑inverting, and differential op‑amp configurations. Includes adjustable supply rails, high‑gain & zero‑Rin warnings, and real‑time schematics.

Inv Gain = -10 Non‑Inv Gain = 3 Diff Gain = 5 Unity Buffer (Non‑Inv) Inv Audio (Gain -22)
All calculations are local — no data uploaded. Based on ideal op‑amp assumptions.

Understanding Op‑amp Voltage Gain

An operational amplifier (op‑amp) is a DC‑coupled high‑gain electronic voltage amplifier. In closed‑loop configurations (with negative feedback), the gain becomes stable and predictable, determined primarily by external resistors. This calculator analyzes three fundamental topologies: Inverting, Non‑inverting, and Differential (balanced) amplifiers — each essential for analog signal conditioning in sensors, audio systems, and control loops.

Ideal Closed‑Loop Gain Formulas:
Inverting: \( A_v = -\frac{R_f}{R_1} \)   |   Non‑inverting: \( A_v = 1 + \frac{R_f}{R_1} \)   |   Differential (balanced): \( A_v = \frac{R_f}{R_1} \) (assuming \( R_f/R_1 = R_g/R_2 \))

Practical design notes: Very high gains ( > 1000 ) reduce bandwidth and increase noise. Always verify the op‑amp’s gain‑bandwidth product (GBW) and slew rate. The calculator includes a zero‑Rin warning because setting \( R_{in} = 0 \) in inverting/differential configurations forces zero gain and may cause real‑world instability.

Authoritative References
• Texas Instruments, Op Amps for Everyone (Ron Mancini)
• Analog Devices, Linear Circuit Design Handbook (Hank Zumbahlen)
• Sedra & Smith, Microelectronic Circuits, 8th Edition
• IEEE Std 1057-2017 for electronic terminology
Developed by the GetZenQuery tech team. Our calculators undergo rigorous validation against real hardware measurements.