OP-AMP AMPLIFIERS

Inverting Op-Amp Calculator

Solve output voltage, input voltage, gain, or either resistor in an inverting amplifier.

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Inverting Op-AmpLIVE CALCULATION

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The selected unknown appears in the result.

V/V

Signed DC voltages and positive resistors. Select voltage gain to calculate the resistor-defined closed-loop gain. Ideal linear model; supply limits and clipping are not simulated.

−+ARf—Vout—Rin—Vin—Ideal op-amp · supply connections omitted
The relationshipVout = −Vin × Rf / Rin

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How to use this calculator

  1. Choose output voltage, input voltage, voltage gain, Rin, or Rf as the unknown.
  2. Enter the known values and units. Voltage values may be positive, negative, or zero.
  3. For resistor design, use an input/output voltage pair or enter a negative target gain.
  4. Read the result and the updated resistor and voltage labels in the circuit.

A quick worked example

With Vin = 0.2 V, Rin = 10 kΩ and Rf = 100 kΩ, Av = −10 V/V and Vout = −2 V. To design for Av = −5 using Rin = 10 kΩ, solve Rf using target gain: Rf = 50 kΩ.

Av = −Rf/Rin; Rf = −Av × Rin; Rin = −Rf/Av

A few useful answers

Why is the gain negative?

The signal enters the inverting input through Rin. The output polarity reverses relative to the input. The non-inverting input is grounded in this circuit.

Can I solve for a resistor?

Yes. Select Rin or Rf, then choose a known input/output voltage pair or a target gain. Positive resistors require a negative gain.

Why does 0 V input and 0 V output not determine a resistor?

Those voltages are compatible with every finite gain in this ideal circuit. They do not identify one resistor ratio. Enter a nonzero input or choose target gain.

Model & assumptions: Ideal op-amp with negative feedback, infinite open-loop gain and input impedance, and zero output impedance. Positive finite resistors and signed DC voltages. Supply rails, output swing, input common-mode limits, offset, bias current, loading, bandwidth and slew rate are not modeled. Check the real device datasheet for linear operation.

Reference: Renesas — op-amp circuit basics ↗

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