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Op-amp gain calculator

Calculate ideal closed-loop gain for inverting and non-inverting op-amp circuits, or solve for the feedback or input resistor.

Calculator

Signed voltage gain
-10.000000
Gain magnitude (dB)
20.000000

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How this calculator works

Negative feedback makes the ideal op-amp inputs nearly equal in voltage. The resistor ratio then sets closed-loop voltage gain. Inverting circuits reverse polarity; non-inverting circuits add unity gain. Finite open-loop gain, gain-bandwidth product, output swing and slew rate limit real operation.

Formula

Inverting: Av = -Rf/Rin. Non-inverting: Av = 1 + Rf/Rg. Gain magnitude in dB = 20 log10(|Av|).

Worked example

With a 10 kilohm input resistor and 100 kilohm feedback resistor, inverting gain is -10 and non-inverting gain is 11.

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Frequently asked questions

Why is inverting gain negative?

The output changes in the opposite direction from the input, corresponding to a polarity reversal.

Can non-inverting gain be below one?

Not with the standard two-resistor circuit and positive resistances. A voltage follower has gain one.

Does the result include frequency response?

No. Consult the amplifier gain-bandwidth and stability specifications for the chosen gain and load.

Sources

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