Inverting Op Amp Circuit Calculator

Estimate gain, output swing, and resistor behavior. Test clipping, bandwidth, slew rate, and load effects. Build safer inverting amplifier designs with practical decision checks.

Calculator Inputs

Example Data Table

Vin Rin Rf Gain Ideal Vout Use Case
0.5 V 10 kΩ 100 kΩ -10 -5 V Audio preamplifier stage
1 V 20 kΩ 100 kΩ -5 -5 V Sensor signal scaling
2 mV 1 kΩ 1 MΩ -1000 -2 V Low signal gain check
1.2 V 30 kΩ 90 kΩ -3 -3.6 V General inversion stage

Formula Used

Closed loop gain: Av = -Rf / Rin

Ideal output voltage: Vout = Av × Vin

Gain in decibels: Gain dB = 20 × log10(|Av|)

Noise gain: Noise gain = 1 + Rf / Rin

Closed loop bandwidth estimate: Bandwidth = GBW / Noise gain

Bias compensation resistor: Rb = Rin || Rf = (Rin × Rf) / (Rin + Rf)

Required slew rate: SR = 2 × π × frequency × |Vout|

Output clipping check: Practical output is limited between negative rail plus headroom and positive rail minus headroom.

How To Use This Calculator

  1. Select a calculation mode.
  2. Enter the input signal voltage.
  3. Enter Rin and Rf, or use the target gain mode.
  4. Add supply rail values and output headroom.
  5. Enter load resistance if the output drives a load.
  6. Add gain bandwidth product, frequency, and slew rate.
  7. Press Calculate to view gain, output swing, clipping, current, bandwidth, and slew checks.
  8. Use CSV or PDF buttons to save the calculation report.

Understanding The Inverting Stage

An inverting op amp is a core analog building block. It accepts a signal through an input resistor. It returns an output with opposite polarity. The feedback resistor sets the gain. The non inverting input usually sits at ground. This makes the inverting node act like virtual ground.

Why This Calculator Helps

Manual design can feel simple at first. Yet real circuits need more checks. Supply rails limit output swing. Load resistance changes output current. Device bandwidth reduces high frequency gain. Slew rate can distort fast signals. Bias current can create offset. This calculator combines those checks in one place. It helps you compare resistor choices before building.

Main Design Ideas

The ideal closed loop voltage gain is negative feedback resistance divided by input resistance. A larger feedback resistor raises gain. A larger input resistor lowers gain. The input impedance is nearly equal to the input resistor. That matters when the signal source has limited drive. A compensation resistor may be placed on the non inverting input. Its value is the parallel combination of both gain resistors.

Practical Limits

No real amplifier reaches unlimited output. The output must remain inside the positive and negative supply rails. Many devices also need headroom near each rail. This calculator applies that headroom and reports clipping. It also estimates closed loop bandwidth from gain bandwidth product. The noise gain is used for this estimate. Higher gain normally means lower bandwidth.

Reading The Results

Use the ideal output for theory. Use the clipped output for a practical preview. Check output current before choosing the device. Check load power when the amplifier drives a resistor. Review slew margin when signals are fast. A margin below one means the waveform may become triangular. A wider margin is safer.

Good Design Practice

Choose stable resistor values. Avoid extremely low resistors that waste current. Avoid extremely high resistors that add noise and bias errors. Keep wiring short around the inverting node. Use a proper bypass capacitor near each supply pin. Test the final circuit with real component tolerances. The calculator gives guidance, not a replacement for a data sheet. Always confirm maximum ratings, input range, output swing, and stability notes. Use it before final build.

FAQs

What is an inverting op amp?

It is an amplifier circuit where the output signal has opposite polarity from the input signal. Its gain is mainly set by the ratio of feedback resistance to input resistance.

Why is the gain negative?

The input signal enters the inverting terminal. Negative feedback keeps that node near virtual ground. This action creates an output with reversed polarity, so the gain carries a negative sign.

What does virtual ground mean?

Virtual ground means the inverting input node is held near zero volts by feedback. It is not physically connected to ground, but it behaves like ground for ideal analysis.

Can this calculator show output clipping?

Yes. It compares the ideal output with the available supply swing after headroom. If the calculated output exceeds that range, the practical output is limited.

Why is the bias compensation resistor useful?

It helps balance input bias current effects. A common value is the parallel combination of Rin and Rf, placed at the non inverting input.

How is bandwidth estimated?

The calculator divides gain bandwidth product by noise gain. This is a practical first estimate. Always compare the result with the selected device data sheet.

What does slew rate warning mean?

It means the output may not change fast enough for the selected frequency and amplitude. The waveform may distort when required slew rate exceeds the device limit.

Can I use this for real circuit design?

Yes, for early design and checking. Final design should also review device limits, noise, stability, input range, output current, layout, and component tolerances.

Related Calculators

Paver Sand Bedding Calculator (depth-based)Paver Edge Restraint Length & Cost CalculatorPaver Sealer Quantity & Cost CalculatorExcavation Hauling Loads Calculator (truck loads)Soil Disposal Fee CalculatorSite Leveling Cost CalculatorCompaction Passes Time & Cost CalculatorPlate Compactor Rental Cost CalculatorGravel Volume Calculator (yards/tons)Gravel Weight Calculator (by material type)

Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.