Enter the RMS (Root Mean Square) value into the calculator to determine the peak value. This calculator is useful for converting RMS voltage or current to its peak value in electrical engineering.
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RMS to Peak Formula
The following formula is used to calculate the peak value from an RMS value.
PV = RMS * √2
Variables:
- PV is the peak value (volts or amps)
- RMS is the root mean square value (volts or amps)
To calculate the peak value, multiply the RMS value by the square root of 2.
| RMS (V) | Peak (V) | Peak-to-Peak (V) |
|---|---|---|
| 0.1 | 0.141 | 0.283 |
| 0.2 | 0.283 | 0.566 |
| 0.5 | 0.707 | 1.414 |
| 1 | 1.414 | 2.828 |
| 1.5 | 2.121 | 4.243 |
| 2 | 2.828 | 5.657 |
| 2.5 | 3.536 | 7.071 |
| 3.3 | 4.667 | 9.334 |
| 5 | 7.071 | 14.142 |
| 6.3 | 8.910 | 17.819 |
| 9 | 12.728 | 25.456 |
| 10 | 14.142 | 28.284 |
| 12 | 16.971 | 33.941 |
| 15 | 21.213 | 42.426 |
| 24 | 33.941 | 67.882 |
| 48 | 67.882 | 135.765 |
| 60 | 84.853 | 169.706 |
| 120 | 169.706 | 339.411 |
| 230 | 325.269 | 650.538 |
| 240 | 339.411 | 678.823 |
| Assumes a pure sine wave. Formulas: Peak = RMS × √2; Peak-to-Peak = 2 × Peak = 2√2 × RMS. √2 ≈ 1.414. | ||
What is RMS?
RMS stands for Root Mean Square. It is a statistical measure of the magnitude of a varying quantity and is used in physics and engineering to represent the effective value of an alternating current (AC) or voltage. RMS is a way to express an AC quantity of voltage or current in terms functionally equivalent to DC. This is useful because it allows for the calculation of power in an AC circuit, which is equivalent to the power in a DC circuit of the same RMS value.
How to Calculate Peak Value from RMS?
The following steps outline how to calculate the Peak Value from RMS.
- First, determine the RMS value (RMS) in volts or amps.
- Next, use the formula from above = PV = RMS * √2.
- Finally, calculate the Peak Value (PV) in volts or amps.
- After inserting the RMS value and calculating the result, check your answer with the calculator above.
Example Problem :
Use the following variable as an example problem to test your knowledge.
RMS value (RMS) = 10 volts
