Self Inductance⚠ unverified
Physics / Electromagnetics · Compute the self-inductance from flux linkage
Parameters
| Input | Symbol | Unit | Default | Description |
|---|---|---|---|---|
| N | N | — | 1.0 | Number of turns in the coil |
| Phi | Φ | Wb | 1.0 | Magnetic flux through a single turn |
| I | I | A | 1.0 | Current through the coil |
| Output | Symbol | Unit | Description |
|---|---|---|---|
| result | L | H | Self-inductance, in henries (H). Returns 0.0 when ``I`` is zero |
The science & history
Understanding the Parameters
- $N$, $\Phi$ — linkage $\Lambda = N\Phi$ (use total linkage if $\Phi$ already includes all turns).
- $I$ — current in the same winding.
- $L$ — geometry and core permeability fixed; linear media assumed ($L$ independent of $I$).
Derivation (Approaching a Proof)
Definition: $\Lambda = N\Phi = L I$. Faraday’s law $\mathcal{E} = -N\,d\Phi/dt = -L\,dI/dt$ identifies the same $L$. Energy to establish current: $\int\mathcal{E}I\,dt = \tfrac12 L I^{2}$.
History
Self-inductance quantifies Faraday induction in a single circuit; the henry is the SI unit.
Related Concepts: Mutual Inductance, Inductance Solenoid, Induced Emf, Inductor Energy, Energy Magnetic Field
Notes: Registry calculator self-inductance (unverified). Linear definition; confirm per-turn vs
total flux convention for $\Phi$.