Magnetic Flux

Definition

How much magnetic field passes through a surface — the quantity whose change creates electric current (Faraday's law).

Φ=BAcos⁡θ\Phi = BA\cos\theta

Symbol: ΦBΦ_B · Unit: Wb (weber)

Technical definition

Φ_B = ∫B·dA; for a uniform field through a flat loop, Φ = BA·cosθ. Units: webers (Wb). Faraday's law: the induced EMF equals the negative rate of change of flux, ε = −dΦ/dt.

Example

Turning a coil in a magnetic field changes the flux through it — that is exactly how generators produce electricity from rotation.

Common confusion

Flux depends on orientation, not just field strength. A loop edge-on to the field (θ = 90°) has zero flux through it — maximum field, minimum flux. Angle matters as much as magnitude.