Enter Sine Wave Values
Example Data Table
| Known Type | Known Value | Frequency | Phase | Resistance | Expected RMS |
|---|---|---|---|---|---|
| Peak | 169.71 V | 60 Hz | 0 deg | 100 ohm | 120 V |
| RMS | 230 V | 50 Hz | 30 deg | 500 ohm | 230 V |
| Peak-to-Peak | 24 V | 1000 Hz | -45 deg | 50 ohm | 8.4853 V |
Formula Used
Peak from RMS: Vp = Vrms × √2
RMS from peak: Vrms = Vp / √2
Peak-to-peak voltage: Vpp = 2 × Vp
Average rectified voltage: Vavg = 2Vp / π
Instant voltage: v(t) = Voffset + Vp sin(2πft + φ)
Period: T = 1 / f
Angular frequency: ω = 2πf
Current through resistance: I = V / R
Average AC power: P = Vrms2 / R
Total RMS with offset: Vtotal = √(Vrms2 + Voffset2)
How to Use This Calculator
Enter the voltage value you already know. Select whether it is RMS, peak, peak-to-peak, or rectified average.
Add frequency, phase angle, time point, load resistance, and optional DC offset. Choose sample count and cycles for the waveform table.
Press calculate. The result appears above the form. Use the CSV or PDF button to save the report.
Understanding Sine Wave Voltage
A sine wave is the standard shape of alternating voltage. It rises smoothly above zero. It then falls through zero and repeats below zero. This calculator converts common sine values. It also estimates current and power for a resistive load.
Why RMS Matters
RMS voltage is the heating equivalent of direct voltage. It helps compare AC power with DC power. A 120 volt RMS supply produces similar heat as 120 volts DC in the same resistor. Peak voltage is higher than RMS voltage. Peak to peak voltage is twice the positive peak. These values are all useful when reading meters, oscilloscopes, and circuit specifications.
Instant Voltage and Phase
The instant voltage depends on time, frequency, and phase. Frequency controls how fast the wave repeats. Phase shifts the wave left or right. A positive phase starts the wave earlier. A negative phase starts it later. The tool adds optional DC offset. Offset moves the full wave above or below zero.
Load Current and Power
A resistive load follows Ohm's law. Current equals voltage divided by resistance. Average AC power equals RMS voltage squared, divided by resistance. When DC offset is included, total heating power increases. This is because the load receives both AC and DC energy.
Sample Points
The sample table shows time and voltage across selected points. It is useful for plotting, checking a scope trace, or preparing lab notes. More samples give a smoother exported waveform. Fewer samples create a lighter report.
Practical Use
Enter the value you know first. Choose peak, RMS, peak to peak, or rectified average. Add frequency, time, phase, offset, and load resistance. Submit the form. The result will show the main converted voltage values. It will also show current, power, period, angular frequency, and waveform samples.
Good Input Habits
Use positive frequency and resistance values. Use zero offset when studying a pure AC sine wave. Use degrees for phase. Use seconds or milliseconds consistently. Check the selected input type before saving your report. This avoids mixing RMS and peak values.
Safety Note
Use calculated results as planning estimates. Real circuits may include inductance, capacitance, harmonics, tolerance, and heat. Confirm important designs with rated instruments and safe test procedures always first.
FAQs
What is sine wave voltage?
It is alternating voltage that follows a smooth sinusoidal curve. It moves above and below zero in a repeating pattern.
What is RMS voltage?
RMS voltage is the effective heating value of an AC waveform. It helps compare AC voltage with equivalent DC voltage.
How is peak voltage different from RMS?
Peak voltage is the highest point of the wave. RMS voltage is lower for a pure sine wave and equals peak divided by √2.
What does peak-to-peak voltage mean?
Peak-to-peak voltage is the full distance from the negative peak to the positive peak. For a centered sine wave, it equals twice peak voltage.
Why add phase angle?
Phase angle shifts the waveform in time. It is useful when comparing signals, checking timing, or studying AC circuit behavior.
What does DC offset do?
DC offset moves the sine wave above or below zero. It changes total RMS voltage and can increase heating power in a load.
Can this calculator find current?
Yes. Enter load resistance. The calculator uses Ohm's law to estimate instant current, peak current, and RMS current.
Are results valid for all loads?
The power and current results assume a resistive load. Inductive or capacitive loads may need impedance, power factor, and phase correction.