Description
mutualEnergy = dotSign*mutualInductance*firstCurrent*secondCurrent; sign labels the result positive, negative or zero.
Magnetic coupling uses explicit winding, current and voltage references. Turns-square reflection and mutual-energy signs are ideal model conventions; they do not establish actual coupling, saturation or a safe winding connection.
mutualEnergy = dotSign*mutualInductance*firstCurrent*secondCurrent; sign labels the result positive, negative or zero.
When to use this tool
Use Inductor Mutual Energy Sign Token when checking one supplied turns-ratio, dot-reference or mutual-coupling term.
How to use the tool and how it works
- Enter mutualInductance, firstCurrent, secondCurrent, dotSign. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read mutualEnergy, sign. Use the output convention below.
Require nonnegative mutualInductance and dotSign exactly 1 or -1. mutualEnergy = dotSign*mutualInductance*firstCurrent*secondCurrent; sign labels the result positive, negative or zero.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| mutualInductance | Mutual Inductance | Required. Finite number. |
| firstCurrent | First Current | Required. Finite number. |
| secondCurrent | Second Current | Required. Finite number. |
| dotSign | Dot Sign | Required. Safe integer. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| mutualEnergy | Mutual Energy | Required. Finite number. |
| sign | Sign | Required. Text; maximum UTF-16 length 8192. |
{
"input": {
"mutualInductance": 2,
"firstCurrent": 3,
"secondCurrent": 4,
"dotSign": -1
},
"output": {
"mutualEnergy": -24,
"sign": "negative"
}
}Limitations and assumptions
- The sign includes both reference metadata and signed currents. It is one cross-energy term, not total stored energy or validation of a coupled-inductor model.
- 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 the full coupled circuit and component data for physical realizability, losses, transients and operating constraints.
References
Similar or alternative tools
- Electricity: Inductor Mutual Dot Sign
inducedVoltage = mutualInductance*currentSlope, positive when currentEntersDot equals voltageMeasuredDotPositive and negative otherwise.
- Magnetically Coupled Inductor Energy Cross Term
energyTerm = mutual*firstCurrent*secondCurrent, negated when aiding is false.