Magnetic Flux (Φ)
Φ from flux density/area and from induction relation
Calculation
Quick Introduction
Magnetic flux Φ links geometry and field level. It is a key quantity for transformers, inductors, and induction processes.
Schema:
1) collect B and A
2) compute Φ
3) derive dΦ/dt from Uind/N
Formulas (MathJax)
\[\Phi=B\cdot A\]
\[U_{ind}=N\cdot\frac{d\Phi}{dt}\]
\[B=\frac{\Phi}{A}\]
Symbol Legend
- \(\Phi\): magnetic flux [Wb]
- \(B\): flux density [T]
- \(A\): area [m²]
- \(U_{ind}\): induced voltage [V]
- \(N\): turns [-]
Examples
\(B=0.35T\), \(A=2cm^2\) ⇒ \(\Phi=0.7mWb\).
\(U_{ind}=12V\), \(N=250\) ⇒ \(d\Phi/dt=0.048Wb/s\).
Summary
The calculator links B, A, and Φ and the Faraday relation for quick magnetic-system predesign.
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