Transimpedance Amplifier Gain Calculator

Convert tiny input current into practical amplifier outputs. Compare gain, bandwidth, noise, and swing limits. Build safer photodiode designs with clearer circuit checks today.

Calculator Inputs

Formula Used

Total input current: IT = Isignal + Idark + Ibias

Transimpedance gain: ZT ≈ RF

Output voltage: Vout = Vref ± IT × RF

Gain in dB-ohms: G = 20 log10(RF)

Feedback pole: f-3dB ≈ 1 ÷ (2πRFCF)

Feedback resistor current noise: in = √(4kT ÷ RF)

Shot noise: ishot = √(2qIdark)

Output noise: Vnoise = RF × itotal × √NBW

How to Use This Calculator

Enter the expected signal current first. Select its unit carefully.

Add dark current and input bias current when they are known.

Enter the feedback resistor. This value sets the main gain.

Add the feedback capacitor to estimate the response pole.

Enter supply rails and reference voltage to check output swing.

Use the download buttons after calculation to save results.

Example Data Table

Application Input Current Feedback Resistor Feedback Capacitor Approximate Gain Estimated Pole
Low light photodiode 500 nA 1 MΩ 5 pF 1,000,000 V/A 31.83 kHz
Fast optical pulse 10 µA 100 kΩ 2 pF 100,000 V/A 795.77 kHz
Precision current monitor 2 µA 500 kΩ 10 pF 500,000 V/A 31.83 kHz

Design Meaning

A transimpedance amplifier changes input current into output voltage. It is often used with photodiodes, sensors, and precision current sources. The feedback resistor sets the main gain. A larger resistor gives more voltage for the same current. It also raises noise and can reduce usable bandwidth.

Why Gain Matters

Transimpedance gain is written as volts per ampere. The same value is also expressed in ohms. When a photodiode sends current into the inverting node, the output usually moves in the opposite direction. This calculator lets you check that polarity before you build.

Bandwidth And Feedback

The feedback capacitor limits high frequency gain. It helps stability when sensor capacitance and amplifier input capacitance are present. The simple bandwidth estimate uses the feedback resistor and capacitor. Real circuits also depend on op amp gain bandwidth, board layout, and diode capacitance.

Output Swing Checks

A correct gain value is not enough. The output voltage must stay between the supply rails. The tool compares the computed output with the positive and negative limits. It also reports available headroom. This helps prevent clipping in strong light or high current conditions.

Noise Planning

Low current circuits are noise sensitive. Feedback resistor thermal noise, dark current shot noise, and amplifier current noise can all matter. The calculator gives an estimated integrated noise value. It also shows an equivalent input noise current. Use these numbers for early selection, then verify with datasheets.

Practical Use

Start with the expected signal current. Choose a feedback resistor that gives a useful output voltage. Add dark current and bias current if known. Then enter a feedback capacitor. Check bandwidth, swing margin, and noise. Adjust the resistor or capacitor until the design has enough range.

Layout Notes

Keep the summing node short. Use clean guard traces when currents are tiny. Avoid leakage paths from flux, moisture, or dirty boards. Place the feedback parts near the amplifier pins. Good layout often matters as much as the formula.

Final Check

This calculator is a design aid. It provides fast estimates for comparison. Always confirm final values with component datasheets, simulation, and bench testing. Document assumptions clearly so later troubleshooting stays easier for every engineer, technician, or student using the measured circuit during reviews.

FAQs

What is transimpedance gain?

Transimpedance gain is the ratio of output voltage to input current. In many inverting current-to-voltage circuits, it is approximately equal to the feedback resistor value.

Why is the gain written in ohms?

Voltage divided by current gives ohms. A gain of 1 MΩ means one microampere ideally creates one volt across the feedback path.

Why does the output become negative?

Many transimpedance amplifiers use the inverting input. Current entering that summing node produces an output movement in the opposite direction from the reference voltage.

What does the feedback capacitor do?

The feedback capacitor reduces high frequency gain. It can improve stability, limit noise bandwidth, and control ringing caused by input capacitance.

Can I use this for photodiodes?

Yes. The calculator is useful for photodiode current conversion. Add expected photocurrent, dark current, diode capacitance, and feedback values.

What is output swing margin?

Output swing margin is the remaining voltage distance from the calculated output to the closest supply rail. Low margin means clipping may occur.

Why is noise included?

Small current measurements are often limited by noise. Resistor thermal noise, shot noise, and amplifier current noise can affect resolution.

Is the bandwidth formula exact?

No. It is a first estimate based on feedback resistance and capacitance. Final bandwidth depends on the amplifier, layout, sensor capacitance, and parasitics.

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.