Description
totalRms = hypot(dc,acRms), combining a signed DC level with the RMS magnitude of a zero-mean AC component.
Sinusoidal electrical calculations need a common frequency, phase reference and RMS or peak convention. Phasor sums, complex power and composite RMS describe different operations; a sign label alone does not establish a physical connection or waveform.
totalRms = hypot(dc,acRms), combining a signed DC level with the RMS magnitude of a zero-mean AC component.
When to use this tool
Use RMS DC AC Composite Voltage when checking a stated phasor, power or RMS convention.
How to use the tool and how it works
- Enter dc, acRms. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read totalRms. Use the output convention below.
Require nonnegative acRms. totalRms = hypot(dc,acRms), combining a signed DC level with the RMS magnitude of a zero-mean AC component.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| dc | Dc | Required. Finite number. |
| acRms | Ac Rms | Required. Finite number; minimum 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| totalRms | Total Rms | Required. Finite number. |
{
"input": {
"dc": 3,
"acRms": 4
},
"output": {
"totalRms": 5
}
}Limitations and assumptions
- Both voltages share one unit. The formula assumes acRms excludes DC; it does not calculate RMS from samples or validate that decomposition.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Use compatible measured waveforms and a complete circuit or harmonic model when signals are distorted, references differ or practical limits matter.
References
Similar or alternative tools
- Electricity: Complex Power Real Imaginary Pair
Return realPower = voltageReal*currentReal+voltageImaginary*currentImaginary and reactivePower = voltageImaginary*currentReal-voltageReal*currentImaginary.
- Complex Power One Harmonic Cross Term
apparent = their product; active = apparent*cos(phaseDifference); reactive = apparent*sin(phaseDifference), with phaseDifference in radians.