AC RMS to Peak Calculator

Tool Summary

This engineering calculator converts RMS, peak, peak-to-peak, and average rectified values. It also estimates crest factor, frequency properties, current, and resistive load power.

Meta Description Word Count

21 words

Target: 23 words

Calculator Inputs

Known Value Type

Known Voltage Value

Waveform Type

Frequency (Hz)

Load Resistance (Ω)

Tip: Use average rectified mode only with standard waveform shapes.

Example Data Table

Waveform	Input Type	Input Value	RMS Voltage	Peak Voltage	Peak-to-Peak	Notes
Sine	RMS	120 V	120.000000 V	169.705627 V	339.411255 V	Common mains conversion.
Sine	Peak	10 V	7.071068 V	10.000000 V	20.000000 V	Useful in signal analysis.
Square	RMS	5 V	5.000000 V	5.000000 V	10.000000 V	RMS equals peak here.
Triangle	Peak-to-Peak	24 V	6.928203 V	12.000000 V	24.000000 V	Higher crest factor than square.

Formula Used

1. Peak voltage from RMS:

Vpeak = Vrms × Crest Factor

2. RMS voltage from peak:

Vrms = Vpeak ÷ Crest Factor

3. Peak-to-peak voltage:

Vpp = 2 × Vpeak

4. Average rectified voltage:

Vavg(rectified) = Vrms × Average Factor

5. Resistive load power:

P = Vrms² ÷ R

Standard waveform factors

Sine wave crest factor = √2
Square wave crest factor = 1
Triangle wave crest factor = √3
Sawtooth wave crest factor = √3

These equations assume steady periodic waveforms and ideal resistive loading for current and power estimates.

How to Use This Calculator

Select the known voltage type.
Enter the available voltage value.
Choose the waveform shape.
Enter a custom crest factor if needed.
Add frequency for timing outputs.
Add load resistance for current and power.
Press calculate to display results above the form.
Use the graph to inspect the waveform shape.
Download results as CSV or PDF when needed.

FAQs

1. What does RMS voltage mean?

RMS voltage is the effective AC value that delivers the same heating effect as an equivalent DC voltage across the same resistor.

2. Why is peak voltage higher than RMS?

Peak voltage is the waveform’s maximum instant value. RMS is an energy-equivalent value, so it is lower for most alternating waveforms.

3. When are RMS and peak equal?

They are equal for an ideal square wave because its crest factor is one. The waveform stays at the same magnitude during each half-cycle.

4. What is crest factor used for?

Crest factor links peak and RMS values. It helps compare waveform stress, instrument limits, and signal headroom in power and measurement work.

5. Can I use this for mains engineering?

Yes, for basic voltage relationships. However, real mains systems may include distortion, tolerance, and safety requirements beyond ideal waveform assumptions.

6. Why add load resistance?

Load resistance lets the calculator estimate RMS current, peak current, and average power for a purely resistive circuit using the computed voltage.

7. What does average rectified voltage mean?

It is the average of the waveform after full-wave rectification. It is useful in analog measurement, power conversion, and waveform comparison.

8. Does the graph affect the calculation?

No. The graph only visualizes the computed waveform. The numerical results come from the selected input type, waveform factors, and entered parameters.