Op-Amp Gain Calculator

Op-Amp Gain Calculator

Calculate operational amplifier (op-amp) gain for different configurations. Essential for analog circuit design, audio amplification, and instrumentation.

Last updated: March 2026 | By Patchworkr Team

Gain Calculator

Configuration Info

Inverts and amplifies input signal. Phase shift: -180°

What are Operational Amplifiers?

An operational amplifier (op-amp) is a high-gain, voltage-controlled voltage source with very high input impedance and low output impedance. It compares two input voltages and amplifies their difference. The basic symbol shows two inputs: the non-inverting input (+) and the inverting input (−).

Op-amps are one of the most important components in analog electronics. A single IC (integrated circuit) package can contain multiple op-amps with characteristics nearly ideal for linear instrumentation. Common op-amps include the TL072, NE5532, LM741, and OPA2134. They are used in audio amplifiers, audio mixing consoles, comparators, filters, oscillators, integrators, and virtually every analog electronic device.

The gain of an op-amp depends on its configuration and feedback network. The open-loop gain of raw op-amps is extremely high (100,000 to 1,000,000×), but feedback networks set the closed-loop gain to practical values suitable for applications. Understanding gain calculations is crucial for circuit design.

How to Calculate Op-Amp Gain

The Four Standard Configurations

1. Inverting Amplifier
Gain = -R2/R1 (negative sign inverts signal)
2. Non-Inverting Amplifier
Gain = 1 + R2/R1 (no phase inversion)
3. Voltage Follower (Buffer)
Gain = 1 (unity gain, impedance buffering)
4. Differential Amplifier
Gain = R2/R1 (amplifies difference between inputs)

Converting Gain to Decibels

Voltage gain in decibels uses the formula: Gain (dB) = 20 × log₁₀(Gain)

Example: Gain of 10× = 20 dB, Gain of 100× = 40 dB, Gain of 0.1 = -20 dB

Example Calculation

Design an inverting amplifier with gain of -100×:

Configuration:
Inverting Amplifier
Formula:
Gain = -R2/R1
For -100× gain:
R1 = 1 kΩ, R2 = 100 kΩ
In dB:
40 dB (20 × log₁₀(100))

Frequently Asked Questions

What does 'ideal op-amp' mean?

An ideal op-amp has infinite input impedance, zero output impedance, and infinite gain. Real op-amps approximate this behavior, making them practical for circuit design.

Why use feedback in op-amp circuits?

Feedback sets the gain to predictable values. Negative feedback reduces distortion, improves stability, and makes op-amp circuits practical for real applications.

What's the difference between open-loop and closed-loop gain?

Open-loop gain is the raw op-amp gain (very high, often 1,000,000+). Closed-loop gain is set by feedback resistors and is practical for applications.

Can negative gain values be used in practice?

Yes! Negative gain represents phase inversion. In inverting amplifiers, negative gain flips the signal 180°, which is useful in summing amplifiers and active filters.

What is input impedance and why does it matter?

Input impedance is the resistance an op-amp presents to the input source. High input impedance (ideal: infinite) means minimal current draw from the source signal.

How do I choose between inverting and non-inverting?

Inverting has lower input impedance. Non-inverting has higher input impedance. Choose based on your source impedance and application requirements.

What is frequency response in op-amp circuits?

Frequency response describes how gain changes with frequency. Most op-amps have reduced gain at high frequencies, requiring compensation for stable operation.

Can I cascade op-amp stages for higher gain?

Yes! Multiple stages can be cascaded. Total gain = Gain1 × Gain2 × Gain3. However, each stage adds noise and reduces bandwidth.

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