Voltage Ratio Vo/Vs Calculator

Enter source and output voltages with units. Analyze dividers, load effects, and amplifier gain stages. Export clean ratio results for electrical design records today.

Calculator

Example Data Table

Mode Input values Formula Vo/Vs dB
Direct measured Vs = 24 V, Vo = 12 V 12 / 24 0.5000 -6.0206
Unloaded divider R1 = 10 kΩ, R2 = 5 kΩ 5 / (10 + 5) 0.3333 -9.5424
Loaded divider R1 = 10 kΩ, R2 = 10 kΩ, RL = 10 kΩ 5 / (10 + 5) 0.3333 -9.5424
Inverting amplifier Rf = 47 kΩ, Rin = 10 kΩ -47 / 10 -4.7000 13.4420
Non-inverting amplifier Rf = 90 kΩ, Rin = 10 kΩ 1 + 90 / 10 10.0000 20.0000

Formula used

Direct measured ratio: Av = Vo / Vs

Unloaded divider: Av = R2 / (R1 + R2)

Loaded divider: Av = (R2 || RL) / (R1 + (R2 || RL))

Parallel resistance: R2 || RL = (R2 × RL) / (R2 + RL)

Inverting amplifier: Av = -Rf / Rin

Non-inverting amplifier: Av = 1 + (Rf / Rin)

Decibel gain: Gain dB = 20 log10(|Vo/Vs|)

Output percent: Percent = (Vo/Vs) × 100

How to use this calculator

  1. Select the calculation mode that matches your circuit.
  2. Enter source voltage Vs and its unit.
  3. Enter Vo for direct measured mode.
  4. Enter resistor values for divider or amplifier modes.
  5. Add load resistance when using loaded divider mode.
  6. Set tolerance and decimal places if needed.
  7. Press Calculate to view the ratio above the form.
  8. Use CSV or PDF buttons to save the result.

Understanding Voltage Ratio

The voltage ratio Vo/Vs tells how much of a source signal reaches the output. It is also called voltage gain. A ratio above one means gain. A ratio below one means attenuation. A negative ratio means the output is inverted. This calculator supports measured values, resistor dividers, loaded dividers, and common amplifier gains. It also gives decibel gain, percent transfer, and reciprocal loss.

Why The Ratio Matters

Designers use this ratio to check filters, sensors, bias networks, and amplifier stages. A small ratio can protect an input. A large ratio can boost a weak sensor signal. The same number also helps compare measured circuit behavior with expected theory. When the result differs, wiring, loading, tolerances, or measurement range may be wrong.

Direct Measurement Method

For a direct test, enter the source voltage and output voltage. Use peak, RMS, or DC values consistently. Do not mix peak input with RMS output. The calculator converts selected units before division. It then reports Vo/Vs, Vo as a percentage of Vs, and gain in decibels. This gives a fast view of signal transfer.

Divider And Load Method

A basic divider uses two resistors. The lower resistor sets the output fraction. A real circuit often adds a load. That load sits in parallel with the lower resistor. The effective lower resistance becomes smaller. The output ratio usually falls. This tool includes that effect when loaded divider mode is selected.

Amplifier Gain Method

Op amp stages can be checked quickly. An inverting stage uses negative feedback gain. Its sign shows phase reversal. A non-inverting stage adds one to the feedback ratio. Always confirm that the output voltage stays inside the supply rails. Real amplifiers also have bandwidth, slew rate, and offset limits.

Practical Tips

Use accurate values for resistors and voltages. Choose units before calculating. Check the decibel result when comparing audio, RF, or filter stages. Export results when you need a record. Treat the result as an ideal estimate unless all parasitic effects are known. For high frequency circuits, include source resistance, cable loss, and probe loading in your review. Save each calculation with notes. This helps teams compare simulations, bench readings, and revised component choices during later design reviews with evidence.

FAQs

What does Vo/Vs mean?

Vo/Vs is the output voltage divided by the source voltage. It shows the voltage transfer ratio of a circuit stage.

Can the voltage ratio be negative?

Yes. A negative ratio means the output has inverted polarity or phase compared with the source signal.

Why is dB gain included?

Decibel gain helps compare signal levels in audio, RF, control, and filter circuits. It uses 20 log10 of the ratio magnitude.

Which voltage type should I enter?

Use one consistent type. Enter RMS with RMS, peak with peak, or DC with DC. Do not mix measurement types.

What is a loaded voltage divider?

A loaded divider includes the connected load. The load sits parallel to R2 and usually reduces the output voltage ratio.

Can this calculate amplifier gain?

Yes. It supports common inverting and non-inverting op amp gain formulas using Rin and Rf values.

What does percent transfer mean?

Percent transfer is Vo/Vs multiplied by 100. It shows the output voltage as a percentage of the source voltage.

Is the result exact for every circuit?

No. The result is ideal unless all loading, tolerance, bandwidth, source resistance, and measurement effects are included.

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.