Magnetic Flux Quantums to Maxwells Converter (Φ₀ to Mx)
Φ₀ × 2.06783385 × 10⁻⁷ = Mx
Calculation: 1 Φ₀ × 2.06783385 × 10⁻⁷ = 2.06783385 × 10⁻⁷ Mx
Common Magnetic Flux Quantum to Maxwell Calculations
Quick-lookup reference table showing calculated equivalents for standard increments between Magnetic Flux Quantum (Φ₀) and Maxwell (Mx).
| Conversion & Equivalent Value | Scientific Notation |
|---|---|
| 0.001 Φ₀ 2.067834 × 10⁻¹⁰ Mx | 2.068 × 10⁻¹⁰ |
| 0.01 Φ₀ 2.067834 × 10⁻⁹ Mx | 2.068 × 10⁻⁹ |
| 0.1 Φ₀ 2.067834 × 10⁻⁸ Mx | 2.068 × 10⁻⁸ |
| 0.5 Φ₀ 1.033917 × 10⁻⁷ Mx | 1.034 × 10⁻⁷ |
| 1 Φ₀ 2.067834 × 10⁻⁷ Mx | 2.068 × 10⁻⁷ |
| 2 Φ₀ 4.135668 × 10⁻⁷ Mx | 4.136 × 10⁻⁷ |
| 5 Φ₀ 1.033917 × 10⁻⁶ Mx | 1.034 × 10⁻⁶ |
| 10 Φ₀ 2.067834 × 10⁻⁶ Mx | 2.068 × 10⁻⁶ |
| 20 Φ₀ 4.135668 × 10⁻⁶ Mx | 4.136 × 10⁻⁶ |
| 25 Φ₀ 5.169585 × 10⁻⁶ Mx | 5.17 × 10⁻⁶ |
| 50 Φ₀ 1.033917 × 10⁻⁵ Mx | 1.034 × 10⁻⁵ |
| 100 Φ₀ 2.067834 × 10⁻⁵ Mx | 2.068 × 10⁻⁵ |
| 250 Φ₀ 5.169585 × 10⁻⁵ Mx | 5.17 × 10⁻⁵ |
| 500 Φ₀ 0.000103392 Mx | 1.034 × 10⁻⁴ |
| 1000 Φ₀ 0.000206783 Mx | 2.068 × 10⁻⁴ |
| Reciprocal & Equivalent Value | Scientific Notation |
|---|---|
| 1 Mx 4835978.48525 Φ₀ | 4.836 × 10⁶ |
| 5 Mx 2.417989 × 10⁷ Φ₀ | 2.418 × 10⁷ |
| 10 Mx 4.835978 × 10⁷ Φ₀ | 4.836 × 10⁷ |
| 50 Mx 2.417989 × 10⁸ Φ₀ | 2.418 × 10⁸ |
| 100 Mx 4.835978 × 10⁸ Φ₀ | 4.836 × 10⁸ |
Real-World Context & Everyday Benchmarks
Tap to load into converterTo help contextualize these units in everyday life, science, and engineering, here are verified real-world reference points for Magnetic Flux Quantum (Φ₀) and Maxwell (Mx):
Magnetic Flux Quantum References:
- Large hydroelectric power plant generator magnetic pole flux 48359784852501 Φ₀
- High-field laboratory research electromagnet core pole flux 4835978485250.1 Φ₀
- Utility electrical distribution transformer primary winding flux 24179892426251 Φ₀
Maxwell References:
- CGS magnetic flux: Miniature quartz wristwatch stepping motor 5000 Mx
- Small ferrite permanent magnet surface magnetic flux 20000 Mx
How to Convert Magnetic Flux Quantum to Maxwell
Converting Magnetic Flux Quantum (Φ₀) to Maxwell (Mx) is a core calculation in Magnetic Flux, which measures the total magnetic field passing through a given surface area. This calculation bridges modern MKSA metric standards with the historical Gaussian centimetre-gram-second (CGS) electrostatic and electromagnetic framework. In CGS systems, electromagnetic units (such as statvolts, abvolts, dynes, ergs, and gauss) are formulated directly from mechanical dimensions, with electrostatic-to-electromagnetic relations tied to the speed of light in vacuum (c ≈ 2.99792458 × 1010 cm/s). Exactly 1 Magnetic Flux Quantum translates to 2.067834 × 10⁻⁷ Maxwell (1 Mx = 4835978.48525 Φ₀).
Mathematical Conversion Derivation via Coherent SI Base Unit
Under the International System of Quantities (ISQ), dimensional conversion between non-SI units is rigorously resolved by bridging through the coherent SI base unit (weber (Wb)) without arbitrary rounding:
1 Φ₀ = 2.067834 × 10⁻¹⁵ weber (Wb)1 Mx = 1 × 10⁻⁸ weber (Wb)V(Mx) = V(Φ₀) × ( 2.067834 × 10⁻¹⁵ / 1 × 10⁻⁸ ) = V(Φ₀) × 2.067834 × 10⁻⁷Value in Maxwell = Value in Magnetic Flux Quantum × 2.06783385 × 10⁻⁷Direct computational formula applied for standard conversion.Converting 8 Φ₀ yields an exact output of 1.654267 × 10⁻⁶ Mx in Maxwell. Under higher industrial throughput, 480 Φ₀ translates to 9.925602 × 10⁻⁵ Mx.
Inverse check: 1 Mx = 4835978.48525 Φ₀.Understanding Magnetic Flux Quantum and Maxwell
Magnetic Flux Quantum
Φ₀A Magnetic Flux Quantum (Φ₀) is a recognized unit for magnetic flux.
Applications & Practical Context
In practical magnetic flux terms, a large hydroelectric power plant generator magnetic pole flux equals 4.835978 × 10¹³ Φ₀, a high-field laboratory research electromagnet core pole flux equals 4.835978 × 10¹² Φ₀, a utility electrical distribution transformer primary winding flux equals 2.417989 × 10¹³ Φ₀.
A physical magnitude of 1 Φ₀ corresponds to 2.067834 × 10⁻¹⁵ Wb in standard SI measurement.
1 Φ₀ = 2.067834 × 10⁻¹⁵ WbMaxwell
MxA Maxwell (Mx) is a unit of magnetic flux in the centimeter-gram-second (CGS) system.
Applications & Practical Context
In practical magnetic flux terms, a CGS magnetic flux: Miniature quartz wristwatch stepping motor equals 5000 Mx, a small ferrite permanent magnet surface magnetic flux equals 20000 Mx.
A physical magnitude of 1 Mx corresponds to 1 × 10⁻⁸ Wb in standard SI measurement.
1 Mx = 1 × 10⁻⁸ WbDomain Metrology & Engineering Applications
Faraday's Law of Magnetic Induction (Φ = ∬ B · dA)
Rigorously quantified in laboratory and field settings using electronic integrating fluxmeters, search coil Helmholtz pairs, and vibrating sample magnetometers (VSM).
Applied across transformer core saturation testing, permanent magnet production quality control, magnetic recording heads, and particle accelerator dipoles under international metrology standard ISO 80000-6:2022.
Formulas, conversion coefficients, and base definitions on this page strictly adhere to the ISO 80000-6:2022 and the BIPM SI Brochure (9th Edition). Governed by Faraday's Law of Magnetic Induction (Φ = ∬ B · dA) under ISO 80000 dimensional vector [M L² T⁻² I⁻¹].
Total Magnetic Flux to Flux Density Bridge (Tesla • Gauss • Millitesla • Microtesla • Webers)
Calculate core magnetic flux density B = Φ / A from total flux across core cross-sections, bridging magnetic flux [M L² T⁻² I⁻¹] and flux density [M T⁻² I⁻¹] via core area (A).
B = Φ / A
[Wb] ÷ [m²] → [T]
-
1. Normalize Input to SI Base Unit (Wb):
Φ = 1 Φ₀ × 2.06783385 × 10⁻¹⁵ = 2.06783385 × 10⁻¹⁵ Wb -
2. Apply Engineering Parameter (A):
Selected condition: Distribution Transformer Limb (0.01 m²) at A = 0.01 m² -
3. Execute Governing Physical Law in SI Units:
B = Φ / A = (2.06783385 × 10⁻¹⁵ Wb) ÷ (0.01 m²) = 2.067834 × 10⁻¹³ T -
4. Convert to Standard Engineering Units:
• T: 2.067834 × 10⁻¹³ × 1 = 2.067834 × 10⁻¹³ T (Tesla) • G: 2.067834 × 10⁻¹³ × 10000 = 2.07 × 10⁻⁹ G (Gauss) • mT: 2.067834 × 10⁻¹³ × 1000 = 2.0678 × 10⁻¹⁰ mT (Millitesla) • μT: 2.067834 × 10⁻¹³ × 1000000 = 2.07 × 10⁻⁷ μT (Microtesla) • Wb: 2.067834 × 10⁻¹³ × 0.01 = 2.067834 × 10⁻¹⁵ Wb (Webers (0.01 m² Core)) • Mx: 2.067834 × 10⁻¹³ × 1000000 = 2.07 × 10⁻⁷ Mx (Maxwells (0.01 m² Core))
| Engineering Substance / Operating Standard | Parameter Value (m²) | Reference State / Condition | Typical Industrial & Engineering Application |
|---|---|---|---|
| SMD Inductor Core (10 mm²) | 1 × 10⁻⁵ |
1.0 × 10⁻⁵ m² (10 mm²) | Micro ferrite power inductor core |
| ETD49 Ferrite Transformer Core (211 mm²) | 0.000211 |
2.11 × 10⁻⁴ m² (211 mm²) | Switched-mode power supply transformer |
| Distribution Transformer Limb (0.01 m²) | 0.01 |
0.01 m² (100 cm²) | Pole-mounted distribution transformer limb |
| Heavy Substation Core Limb (0.08 m²) | 0.08 |
0.08 m² (800 cm²) | Grid-scale power transformer core limb |
Frequently Asked Questions
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