Magnetic Flux (Φ = BA cos θ)

Φ=BAcosθ\Phi = B A \cos\theta

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Learning zone

Flux counts field lines through a loop, and the cosine keeps score of orientation: face-on (θ = 0) captures everything, edge-on (θ = 90°) captures nothing. A 0.5 T field through a 10 cm × 10 cm loop face-on threads 5 mWb. Flux matters because changing it is what generates voltage — every generator on Earth is a machine for varying BA cos θ, usually by spinning the θ.

Magnetic Flux (Φ = BA cos θ)
Φ=BAcosθ\Phi = B A \cos\theta
Where
  • Φ\Phi= Magnetic flux
  • BB= Magnetic field
  • AA= Loop area
  • θ\theta= Tilt angle
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