// multi-utility computation suite · offline · instant · precise
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sci.Faraday-induction-EMF Calculator
Calculates induced EMF from Faraday's law: ε = −N × dΦ/dt = −NBAω sin(ωt) for a rotating coil in a uniform magnetic field. A 1,000-turn coil with area 0.01 m² rotating at 50 Hz in 0.1 T generates peak EMF = 31.4 V — all AC generators operate on this principle.
Inputs
N Turns
Count of items or occurrences.
B Max T
Mass per unit volume (kg/m³). Water: 1,000. Air: 1.225. Steel: 7,850. Affects buoyancy, flow, and structural loads.
A M2
Two-dimensional surface extent (m²). For complex shapes, break into simpler sub-shapes and sum.
F Hz
Cycles per second (Hz). Audible sound: 20 Hz – 20 kHz. Make sure units match what the formula expects.
Results
peak EMF E_max (V)
Reference formula or conversion factor shown for context.
RMS EMF (V)
Reference formula or conversion factor shown for context.
peak flux linkage NΦ (Wb)
Sample size or count used in the calculation.
E_max = N·B_max·A·ω = N·Φ_max·ω
Sample size or count used in the calculation.
EMF = -dΦ/dt
Reference formula or conversion factor shown for context.