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Maxwells to Magnetic Flux Quantums Converter (Mx to Φ₀)

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1 Maxwell = 4835978.48525014 Magnetic Flux Quantum
1 Mx = 4835978.48525 Φ₀ • 1 Φ₀ = 2.067834 × 10⁻⁷ Mx
Maxwell to Magnetic Flux Quantum: One Maxwell is equal to 4835978.48525014 Magnetic Flux Quantums.
Certified Authority Value
4835978.48525014
Φ₀
Exact: 1 Φ₀ ≡ 2.067833848 × 10⁻⁷ Mx
Mx
Mx
Φ₀
Φ₀ 4835978.48525014
Quick Values:
Conversion Formula
To convert Maxwell to Magnetic Flux Quantum, multiply by 4835978.48525014
Mx × 4835978.48525014 = Φ₀

Calculation: 1 Mx × 4835978.48525014 = 4835978.48525014 Φ₀

Common Maxwell to Magnetic Flux Quantum Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Maxwell (Mx) and Magnetic Flux Quantum (Φ₀).

Tap any row to calculate
Maxwell to Magnetic Flux Quantum: Primary Direct Table (15 Steps)
Maxwell to Magnetic Flux Quantum Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 Mx 4835.978485 Φ₀ 4.836 × 10³
0.01 Mx 48359.784853 Φ₀ 4.836 × 10⁴
0.1 Mx 483597.848525 Φ₀ 4.836 × 10⁵
0.5 Mx 2417989.242625 Φ₀ 2.418 × 10⁶
1 Mx 4835978.48525 Φ₀ 4.836 × 10⁶
2 Mx 9671956.9705 Φ₀ 9.672 × 10⁶
5 Mx 2.417989 × 10⁷ Φ₀ 2.418 × 10⁷
10 Mx 4.835978 × 10⁷ Φ₀ 4.836 × 10⁷
20 Mx 9.671957 × 10⁷ Φ₀ 9.672 × 10⁷
25 Mx 1.208995 × 10⁸ Φ₀ 1.209 × 10⁸
50 Mx 2.417989 × 10⁸ Φ₀ 2.418 × 10⁸
100 Mx 4.835978 × 10⁸ Φ₀ 4.836 × 10⁸
250 Mx 1.208995 × 10⁹ Φ₀ 1.209 × 10⁹
500 Mx 2.417989 × 10⁹ Φ₀ 2.418 × 10⁹
1000 Mx 4.835978 × 10⁹ Φ₀ 4.836 × 10⁹
Magnetic Flux Quantum to Maxwell: Reciprocal Summary
Magnetic Flux Quantum to Maxwell Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 Φ₀ 2.067834 × 10⁻⁷ Mx 2.068 × 10⁻⁷
5 Φ₀ 1.033917 × 10⁻⁶ Mx 1.034 × 10⁻⁶
10 Φ₀ 2.067834 × 10⁻⁶ Mx 2.068 × 10⁻⁶
50 Φ₀ 1.033917 × 10⁻⁵ Mx 1.034 × 10⁻⁵
100 Φ₀ 2.067834 × 10⁻⁵ Mx 2.068 × 10⁻⁵

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 Maxwell (Mx) and Magnetic Flux Quantum (Φ₀):

Maxwell References:

  • CGS magnetic flux: Miniature quartz wristwatch stepping motor 5000 Mx
  • Small ferrite permanent magnet surface magnetic flux 20000 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
ISQ Dimension: [M L² T⁻² I⁻¹] Coherent SI Unit: weber (Wb) Electromagnetism, Circuits & Field Theory

How to Convert Maxwell to Magnetic Flux Quantum

Converting Maxwell (Mx) to Magnetic Flux Quantum (Φ₀) 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 Maxwell translates to 4835978.48525 Magnetic Flux Quantum (1 Φ₀ = 2.067834 × 10⁻⁷ Mx).

Direct Factor1 Mx = 4835978.48525 Φ₀
Inverse Ratio1 Φ₀ = 2.067834 × 10⁻⁷ Mx
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 Mx = 1 × 10⁻⁸ weber (Wb)
2. Target SI Bridge (ktarget):1 Φ₀ = 2.067834 × 10⁻¹⁵ weber (Wb)
Step-by-step substitution for Maxwell → Magnetic Flux Quantum:V(Φ₀) = V(Mx) × ( 1 × 10⁻⁸ / 2.067834 × 10⁻¹⁵ ) = V(Mx) × 4835978.48525
Mathematical FormulaValue in Magnetic Flux Quantum = Value in Maxwell × 4835978.48525014Direct computational formula applied for standard conversion.
Worked Example

Evaluating an input of 120 Maxwell (Mx) produces 5.803174 × 10⁸ Magnetic Flux Quantum (Φ₀). In heavy-duty utility and industrial workloads, 10000 Mx equals 4.835978 × 10¹⁰ Φ₀.

Inverse check: 1 Φ₀ = 2.067834 × 10⁻⁷ Mx.

Understanding Maxwell and Magnetic Flux Quantum

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

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

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 Mx at Distribution Transformer Limb (0.01 m²) = 1 × 10⁻⁶ T
Equals 0.01 G • 0.001 mT • 1 μT
SI Induction
1 × 10⁻⁶
T
Tesla
CGS Standard
0.01
G
Gauss
Hall Sensor Scale
0.001
mT
Millitesla
Geomagnetic Unit
1
μT
Microtesla
Total Flux (0.01m²)
1 × 10⁻⁸
Wb
Webers (0.01 m² Core)
CGS Flux (0.01m²)
1
Mx
Maxwells (0.01 m² Core)
  1. 1. Normalize Input to SI Base Unit (Wb):
    Φ = 1 Mx × 1 × 10⁻⁸ = 1 × 10⁻⁸ 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 = (1 × 10⁻⁸ Wb) ÷ (0.01 m²) = 1 × 10⁻⁶ T
  4. 4. Convert to Standard Engineering Units:
    • T: 1 × 10⁻⁶ × 1 = 1 × 10⁻⁶ T (Tesla) • G: 1 × 10⁻⁶ × 10000 = 0.01 G (Gauss) • mT: 1 × 10⁻⁶ × 1000 = 0.001 mT (Millitesla) • μT: 1 × 10⁻⁶ × 1000000 = 1 μT (Microtesla) • Wb: 1 × 10⁻⁶ × 0.01 = 1 × 10⁻⁸ Wb (Webers (0.01 m² Core)) • Mx: 1 × 10⁻⁶ × 1000000 = 1 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 4835978.48525014 magnetic flux quantums (Φ₀) in 1 maxwell (Mx). To calculate larger amounts manually, simply multiply your total number of maxwells by the conversion multiplier of 4835978.48525014.

The mathematical formula to convert maxwells to magnetic flux quantums is: [value] * 4835978.48525014 = magnetic flux quantums. 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 magnetic flux quantums back to maxwells, you must divide your starting value by 4835978.48525014. Our bidirectional tool automatically computes this inverse equation the moment you type into the magnetic flux quantum input field.

1 Maxwell is larger than 1 Magnetic Flux Quantum. Specifically, 1 Maxwell equals exactly 4835978.48525014 magnetic flux quantums, making it 4835978.4853 times larger (a difference of 6.68 orders of magnitude). Therefore, quantities expressed in magnetic flux quantums require a larger numerical value to represent the same physical amount.

Under standard international measurement guidelines, 1 Maxwell converts to 4835978.48525014 magnetic flux quantums. Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.

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