Magnetic Flux Density⚠ unverified
Physics / Electromagnetics · Compute the magnetic flux through a planar area
Parameters
| Input | Symbol | Unit | Default | Description |
|---|---|---|---|---|
| B | B | T | 1.0 | Magnetic flux density |
| A | A | m**2 | 1.0 | Area through which the flux passes |
| theta | θ | — | 0.0 | Angle between the field and the area normal, in degrees. Default is 0.0 |
| Output | Symbol | Unit | Description |
|---|---|---|---|
| result | Φ | Wb | Magnetic flux, in webers (Wb) |
The science & history
Understanding the Parameters
- $B$ — field strength (what “flux density” usually means).
- $A$ — area of the loop or surface.
- $\theta$ — $0$ means $\mathbf{B}$ normal to the surface (max flux); $90^{\circ}$ means zero flux.
- $\Phi$ — enters Faraday’s law (Induced Emf) and inductance definitions.
Derivation (Approaching a Proof)
By definition $\Phi = \int\mathbf{B}\cdot d\mathbf{A}$. For uniform $B$ over flat area $A$, $\Phi = B A\cos\theta$ with $\theta$ between $\mathbf{B}$ and the normal. Flux density $B$ is the local field; this card multiplies by area to get flux.
History
Flux and Faraday induction are 19th-century electromagnetism; clear $B$ vs $\Phi$ naming avoids unit confusion (T vs Wb).
Related Concepts: Induced Emf, Self Inductance, Mutual Inductance, Magnetic Field Wire
Notes: Registry calculator magnetic-flux-density (unverified). Naming bug: computes flux
$\Phi$, not $B$. Confirm $\theta$ units in the solver.