Magnetic Flux & Faraday Induction Converter

Magnetic Flux (Φ), Webers, Maxwells & Faraday Induction Metrology

Magnetic Flux measures the total amount of magnetic field passing through a given surface area:

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• Universal Magnetic Flux Conversion Formulas (SI & CGS)**:

1 Weber (Wb) = 1 Volt·second (V·s) = 1 T·m^2 = 10^8 Maxwells (Mx) = 1,000 mWb = 10^6\ μWb

1 Maxwell (Mx) = 1 Line of Force = 10^-8 Wb = 10 nWb = 0.010\ μWb = 1 Gauss·cm^2

1 Milliweber (mWb) = 10^-3 Wb = 100,000 Maxwells | 1 Microweber (μWb) = 100 Maxwells

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• Faraday's Law of Induction & Core Flux Density Equations**:

|V_ind| = N (ΔΦ) / (Δ t) (Faraday-Lenz Induced Voltage in Volts, V)

B = (Φ) / (A) (Average Magnetic Flux Density in Tesla, T 10^4 Gauss)

λ = N Φ (Total Magnetic Flux Linkage in Weber-turns)

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• Standard Magnetic Flux Benchmarks**:

• SMPS Ferrite Core: 100.0\ μWb = 10,000 Mx A = 1 cm^2 B = 1.00 T High-frequency power transformer

• Power Transformer Core: 5.00 mWb = 500,000 Mx A = 50 cm^2 B = 1.00 T V_emf = 100 V

• 3.0T MRI Whole-Body Bore: 1.50 Wb = 150,000,000 Mx Whole-body clinical magnet bore

• Josephson Flux Quantum: Φ_0 = (h) / (2e) ≈ 2.06783 × 10^-15 Wb = 2.0678× 10^-7 Mx Superconducting quantum computing

How to Use This Calculator

Enter your Magnetic Flux (Φ) (e.g. 5.0 in Φ), From Magnetic Flux Unit — choose from Milliwebers (mWb = 10⁻³ Wb = 100,000 Maxwells), Webers (Wb = V·s = T·m² - SI Base Standard), Maxwells / Lines (Mx = 10⁻⁸ Wb = G·cm² - CGS Unit), To Magnetic Flux Unit — choose from Maxwells (Mx - Lines of Force), Webers (Wb), Milliwebers (mWb), Core Cross-Sectional Area (A in cm²) (e.g. 50.0 in cm²), Coil Turns (N) (e.g. 200 in turns), Flux Switching Time (Δt in seconds) (e.g. 0.010 for 50Hz half-cycle in s), and Magnetic Device & Induction Benchmark — choose from Custom Magnetic Flux, Utility Step-Down Transformer (5.00 mWb = 500,000 Maxwells @ A=50cm²) → Core B = 1.00 Tesla, High-Frequency SMPS Core (100.0 µWb = 10,000 Maxwells @ A=1cm²) → Core B = 1.00 Tesla. Results update instantly as you type — adjust any value to compare scenarios.

The Formula

Average Magnetic Flux Density B = Phi / Area_m2 (in Tesla)

Faraday-Lenz Induced Voltage: |V_ind| = N * (dPhi / dt)

Flux Linkage: lambda = N * Phi

Worked Example

A power transformer design engineer converts a 5.0 mWb peak magnetic core flux into 500,000 Maxwells to verify compatibility with laminations, calculating that a 200-turn secondary coil experiencing this flux swing over 10 ms produces exactly 100.0 Volts induced EMF.

Understanding Your Result

Unit conversions are exact by definition within a given measurement system (e.g., 1 km = exactly 1,000 m). Cross-system conversions (metric to imperial) use defined exchange factors: 1 inch = exactly 2.54 cm; 1 pound = 0.45359237 kg. Round your converted result to match the precision of your original measurement — expressing more decimal places than your input justifies implies false accuracy. For regulatory, legal, or safety-critical applications, verify which measurement system is required by the applicable standard.