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Magnetic Flux Quantums to Maxwells Converter (Φ₀ to Mx)

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1 Magnetic Flux Quantum = 2.06783385 × 10⁻⁷ Maxwell
1 Φ₀ = 2.067834 × 10⁻⁷ Mx • 1 Mx = 4835978.48525 Φ₀
Magnetic Flux Quantum to Maxwell: One Magnetic Flux Quantum is equal to 2.06783385 × 10⁻⁷ Maxwells.
Certified Authority Value
0.00000021
Mx
Exact: 1 Mx ≡ 4835978.4852501368 Φ₀
Φ₀
Φ₀
Mx
Mx 2.06783385 × 10⁻⁷
Quick Values:
Conversion Formula
To convert Magnetic Flux Quantum to Maxwell, multiply by 2.06783385 × 10⁻⁷
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).

Tap any row to calculate
Magnetic Flux Quantum to Maxwell: Primary Direct Table (15 Steps)
Magnetic Flux Quantum to Maxwell Conversion Reference Table
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
Maxwell to Magnetic Flux Quantum: Reciprocal Summary
Maxwell to Magnetic Flux Quantum Conversion Reference Table
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

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To 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
ISQ Dimension: [M L² T⁻² I⁻¹] Coherent SI Unit: weber (Wb) Electromagnetism, Circuits & Field Theory

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).

Direct Factor1 Φ₀ = 2.067834 × 10⁻⁷ Mx
Inverse Ratio1 Mx = 4835978.48525 Φ₀
Conversion ScaleSI to CGS Gaussian / ESU / EMU Bridge
First-Principles SI Derivation ProofNIST SP 811 / ISO 80000 Compliance

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:

Vtarget=Vsource×(ksource→SIktarget→SI)V_{\text{target}} = V_{\text{source}} \times \left( \frac{k_{\text{source} \to \text{SI}}}{k_{\text{target} \to \text{SI}}} \right)
Universal Dimensional Conversion Law (ISO 80000 / NIST SP 811)
1. Source SI Bridge (ksource):1 Φ₀ = 2.067834 × 10⁻¹⁵ weber (Wb)
2. Target SI Bridge (ktarget):1 Mx = 1 × 10⁻⁸ weber (Wb)
Step-by-step substitution for Magnetic Flux Quantum → Maxwell:V(Mx) = V(Φ₀) × ( 2.067834 × 10⁻¹⁵ / 1 × 10⁻⁸ ) = V(Φ₀) × 2.067834 × 10⁻⁷
Mathematical FormulaValue in Maxwell = Value in Magnetic Flux Quantum × 2.06783385 × 10⁻⁷Direct computational formula applied for standard conversion.
Worked Example

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

Φ₀
Standard Unit

A 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.

Physical Setup

A physical magnitude of 1 Φ₀ corresponds to 2.067834 × 10⁻¹⁵ Wb in standard SI measurement.

Conversion to SI Unit: weber (Wb)
1 Φ₀ = 2.067834 × 10⁻¹⁵ Wb

Maxwell

Mx
CGS System

A 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.

Physical Setup

A physical magnitude of 1 Mx corresponds to 1 × 10⁻⁸ Wb in standard SI measurement.

Conversion to SI Unit: weber (Wb)
1 Mx = 1 × 10⁻⁸ Wb

Domain Metrology & Engineering Applications

Governing Law & Equation

Faraday's Law of Magnetic Induction (Φ = ∬ B · dA)

Measurement Instrumentation

Rigorously quantified in laboratory and field settings using electronic integrating fluxmeters, search coil Helmholtz pairs, and vibrating sample magnetometers (VSM).

Primary Industry Sectors

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.

Institutional Metrology & Standard Authority:

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].

Multi-Variable Engineering Bridge Core Flux Distribution & Saturation Margin

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
Vector: [Wb] ÷ [m²] → [T]
Live Calculated Bridge Equivalent:
1 Φ₀ at Distribution Transformer Limb (0.01 m²) = 2.067834 × 10⁻¹³ T
Equals 2.07 × 10⁻⁹ G • 2.0678 × 10⁻¹⁰ mT • 2.07 × 10⁻⁷ μT
SI Induction
2.067834 × 10⁻¹³
T
Tesla
CGS Standard
2.07 × 10⁻⁹
G
Gauss
Hall Sensor Scale
2.0678 × 10⁻¹⁰
mT
Millitesla
Geomagnetic Unit
2.07 × 10⁻⁷
μT
Microtesla
Total Flux (0.01m²)
2.067834 × 10⁻¹⁵
Wb
Webers (0.01 m² Core)
CGS Flux (0.01m²)
2.07 × 10⁻⁷
Mx
Maxwells (0.01 m² Core)
  1. 1. Normalize Input to SI Base Unit (Wb):
    Φ = 1 Φ₀ × 2.06783385 × 10⁻¹⁵ = 2.06783385 × 10⁻¹⁵ Wb
  2. 2. Apply Engineering Parameter (A):
    Selected condition: Distribution Transformer Limb (0.01 m²) at A = 0.01 m²
  3. 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. 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))
Explore Magnetic Flux Density Converter →
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
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Frequently Asked Questions

There are exactly 2.06783385 × 10⁻⁷ maxwells (Mx) in 1 magnetic flux quantum (Φ₀). To calculate larger amounts manually, simply multiply your total number of magnetic flux quantums by the conversion multiplier of 2.06783385 × 10⁻⁷.

The mathematical formula to convert magnetic flux quantums to maxwells is: [value] * 2.06783385 × 10⁻⁷ = maxwells. Rather than doing the math manually, you can use our high-precision online calculator to process this exact equation instantly without rounding errors.

To perform the reverse calculation from maxwells back to magnetic flux quantums, you must divide your starting value by 2.06783385 × 10⁻⁷. Our bidirectional tool automatically computes this inverse equation the moment you type into the maxwell input field.

1 Maxwell is larger than 1 Magnetic Flux Quantum. Specifically, 1 Magnetic Flux Quantum equals 2.06783385 × 10⁻⁷ maxwells, meaning 1 Maxwell is 4835978.4853 times larger than 1 Magnetic Flux Quantum (a difference of 6.68 orders of magnitude). Expressing measurements in magnetic flux quantums requires a larger numerical value to represent the equivalent physical magnitude.

Under standard international measurement guidelines, 1 Magnetic Flux Quantum converts to 2.06783385 × 10⁻⁷ maxwells. Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.

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