Description
q = reactance/seriesResistance; parallelResistance = seriesResistance*(1+q²).
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.
q = reactance/seriesResistance; parallelResistance = seriesResistance*(1+q²).
When to use this tool
Use Lossy Inductor Series Parallel Resistance Factor when checking a stated phasor, power or RMS convention.
How to use the tool and how it works
- Enter seriesResistance, reactance. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read parallelResistance, q. Use the output convention below.
Require positive seriesResistance. q = reactance/seriesResistance; parallelResistance = seriesResistance*(1+q²).1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| seriesResistance | Series Resistance | Required. Finite number; strictly above 0. |
| reactance | Reactance | Required. Finite number. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| parallelResistance | Parallel Resistance | Required. Finite number. |
| q | Q | Required. Finite number. |
{
"input": {
"seriesResistance": 2,
"reactance": 6
},
"output": {
"parallelResistance": 20,
"q": 3
}
}Limitations and assumptions
- Reactance may be signed and q retains that sign. This is a single-frequency series-to-parallel resistance relation, not a broadband equivalent or full component transformation.
- 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
- Parallel RC Admittance Loss Angle
conductance = 1/resistance; susceptance = angularFrequency*capacitance; phaseRadians = atan2(susceptance,conductance).
- Series Rl Impedance Phase Component
reactance = angularFrequency*inductance; magnitude = hypot(resistance,reactance); phaseRadians = atan2(reactance,resistance).