Description
Return a magnetic-field energy-density term.
Signed and complex response quantities require an explicit convention as well as compatible units. A reciprocal, density change or loss magnitude can preserve algebra while the physical sign, frequency dependence and material interpretation remain separate questions.
Return a magnetic-field energy-density term.
When to use this tool
Use Magnetic Field Energy Density Permeability Factor when converting the stated signed, complex or response-property basis.
How to use the tool and how it works
- Enter field, permeability. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read energyDensity. Use the output convention below.
Return a magnetic-field energy-density term. Require permeability > 0; energyDensity = field²/(2*permeability).1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| field | Magnetic flux density B; teslas with permeability in H/m give J/m³. | Required. Finite number. |
| permeability | Permeability | Required. Finite number; strictly above 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| energyDensity | Energy Density | Required. Finite number. |
{
"input": {
"field": 2,
"permeability": 4
},
"output": {
"energyDensity": 0.5
}
}Limitations and assumptions
- Field is magnetic flux density B in teslas with H/m permeability for J/m³; constant linear permeability is assumed.
- 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 applicable SI/cgs, complex-phase and material-response conventions; use full tensor or frequency-dependent models where scalar relations are insufficient.
References
Similar or alternative tools
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