Description
conductance = 1/resistance; susceptance = angularFrequency*capacitance; phaseRadians = atan2(susceptance,conductance).
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.
conductance = 1/resistance; susceptance = angularFrequency*capacitance; phaseRadians = atan2(susceptance,conductance).
When to use this tool
Use Parallel RC Admittance Loss Angle when checking a stated phasor, power or RMS convention.
How to use the tool and how it works
- Enter resistance, capacitance, angularFrequency. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read conductance, susceptance, phaseRadians. Use the output convention below.
Require positive resistance and nonnegative capacitance and angularFrequency. conductance = 1/resistance; susceptance = angularFrequency*capacitance; phaseRadians = atan2(susceptance,conductance).1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| resistance | Electrical resistance; use ohms with SI electrical inputs. | Required. Finite number; strictly above 0. |
| capacitance | Capacitance; use farads with SI electrical inputs. | Required. Finite number; minimum 0. |
| angularFrequency | Angular frequency in rad/s when using SI electrical component values, not Hz. | Required. Finite number; minimum 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| conductance | Conductance | Required. Finite number. |
| susceptance | Susceptance | Required. Finite number. |
| phaseRadians | Wrapped phase angle in radians under the stated origin or component convention. | Required. Finite number. |
{
"input": {
"resistance": 2,
"capacitance": 0.25,
"angularFrequency": 2
},
"output": {
"conductance": 0.5,
"susceptance": 0.5,
"phaseRadians": 0.7853981633974483
}
}Limitations and assumptions
- Use ohms, farads and rad/s. This ideal parallel RC admittance omits parasitics and uses positive capacitive susceptance under its stated convention.
- 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
- Lossy Inductor Series Parallel Resistance Factor
q = reactance/seriesResistance; parallelResistance = seriesResistance*(1+q²).
- Admittance Conductance Susceptance Sign Pair
magnitude = hypot(conductance,susceptance); capacitive is true when susceptance > 0 and inductive when susceptance < 0.