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Op-Amp Inverting & Non-Inverting Gain Calculator

Operational amplifiers (Op-Amps) are the fundamental building blocks of analog electronics, relying on negative feedback networks to establish precise voltage gain.

Choose between inverting and non-inverting negative feedback configurations.

Input resistor Rin in Ohms (e.g. 10 kΩ = 10,000 Ω).

Feedback resistor Rf connected between output and inverting input in Ohms.

Input signal voltage level in Volts.

Op-amp GBWP specification (LM741 = 1 MHz, NE5532 = 10 MHz, OPA2134 = 8 MHz).

Calculated Result
-10x

Closed-Loop Voltage Gain

Voltage Gain (A_v)

-10x (20 dB)

Output Voltage (V_out)

-2 V

Phase Shift

180°

Input Impedance (Z_in)

10000 Ω

-3dB Bandwidth Cutoff

100 kHz

Calculation Breakdown

  1. 1. Circuit Configuration FormulaInverting: A_v = -R_f / R_in = -(100000 / 10000) = -10
  2. 2. Output Voltage CalculationV_out = V_in · A_v = 0.2 V · (-10) = -2 V
  3. 3. Decibel Gain & BandwidthGain = 20·log₁₀(|-10|) = 20 dB. Bandwidth (-3dB) = GBWP / |A_v| = 1 MHz / 10 = 100 kHz

Frequency Response Roll-off (-3dB at 100 kHz)

Interactive visualization based on your current inputs

Gain (dB)
0.05.01015201 kHz10 kHz50 kHz100 kHz (-3dB)500 kHzFrequencyGain (dB)

What Is the Op-Amp Inverting & Non-Inverting Gain Calculator?

An operational amplifier gain stage sets fixed amplification through closed-loop negative feedback.

How Does the Op-Amp Inverting & Non-Inverting Gain Calculator Work?

The op-amp forces its differential inputs to virtually the same potential (virtual ground at inverting terminal), linearizing amplification.

Op-Amp Inverting & Non-Inverting Gain Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

A_v = -\frac{R_f}{R_{in}} \quad (\text{Inv}), \quad A_v = 1 + \frac{R_f}{R_{in}} \quad (\text{Non-Inv}), \quad f_{-3dB} = \frac{\text{GBWP}}{|A_v|}

Closed loop gain is feedback resistor over input resistor (plus 1 for non-inverting). Bandwidth cutoff is GBWP divided by absolute gain.

How to Use the Op-Amp Inverting & Non-Inverting Gain Calculator

  1. Select inverting or non-inverting topology.
  2. Specify input resistor Rin and feedback resistor Rf.
  3. Enter input voltage and op-amp GBWP datasheet specification.

Step-by-Step Example Calculation

10x Inverting Amplifier (Rin = 10k, Rf = 100k)

Input Values:

topology:inverting
rInOhms:10000
rFeedbackOhms:100000
vInVolts:0.2
gbwpMhz:1.0
Worked Steps: Gain is -10x (20 dB). A 0.2V input yields -2.0V output with 100 kHz bandwidth cutoff on a 1 MHz op-amp.

Understanding Your Result

Voltage Gain (Av): Linear amplification factor.

Decibel Gain (dB): 20 · log10(|Av|).

Cutoff Bandwidth: Maximum operating frequency before gain drops by 3 dB.

Input Impedance: Load seen by previous driving stage.

Factors That Affect the Result

  • Resistor ratio Rf/Rin sets gain; op-amp GBWP constrains high-frequency response.

When Should You Use This Calculator?

  • Audio mixing consoles, sensor signal conditioning, ADC front-end scaling, and instrumentation.

Assumptions & Limitations

  • Assumes output voltage does not clip against power supply rails (saturation).

Frequently Asked Questions

Calculation Accuracy & Reference Note

Ideal op-amp feedback model with first-order pole GBWP bandwidth roll-off.

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