Magnetic Flux Quantums to Unit Poles Converter (Φ₀ to unit pole)

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Live Conversion • ISO 80000-6:2022 Certified

1 Magnetic Flux Quantum = 1.64552997 × 10⁻⁸ Unit Pole

1 Φ₀ = 1.64553 × 10⁻⁸ unit pole • 1 unit pole = 6.077069 × 10⁷ Φ₀

Decimals:

Certified Authority Value

0.00000002

unit pole

From / Input

Φ₀

Swap to Unit Pole to Magnetic Flux Quantum

To / Result

unit pole

Quick Values:

Conversion Formula

To convert Magnetic Flux Quantum to Unit Pole, multiply by 1.64552997 × 10⁻⁸

Φ₀ × 1.64552997 × 10⁻⁸ = unit pole

Calculation: 1 Φ₀ × 1.64552997 × 10⁻⁸ = 1.64552997 × 10⁻⁸ unit pole

Common Magnetic Flux Quantum to Unit Pole Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Magnetic Flux Quantum (Φ₀) and Unit Pole (unit pole).

Tap any row to calculate

Magnetic Flux Quantum to Unit Pole: Primary Direct Table (15 Steps)

Rule: 1 Magnetic Flux Quantum is equal to 1.64553 × 10⁻⁸ unit pole (Unit Pole)

Magnetic Flux Quantum to Unit Pole Conversion Reference Table
Conversion & Equivalent Value	Scientific Notation
0.001 Φ₀ 1.64553 × 10⁻¹¹ unit pole	1.646 × 10⁻¹¹
0.01 Φ₀ 1.64553 × 10⁻¹⁰ unit pole	1.646 × 10⁻¹⁰
0.1 Φ₀ 1.64553 × 10⁻⁹ unit pole	1.646 × 10⁻⁹
0.5 Φ₀ 8.22765 × 10⁻⁹ unit pole	8.228 × 10⁻⁹
1 Φ₀ 1.64553 × 10⁻⁸ unit pole	1.646 × 10⁻⁸
2 Φ₀ 3.29106 × 10⁻⁸ unit pole	3.291 × 10⁻⁸
5 Φ₀ 8.22765 × 10⁻⁸ unit pole	8.228 × 10⁻⁸
10 Φ₀ 1.64553 × 10⁻⁷ unit pole	1.646 × 10⁻⁷
20 Φ₀ 3.29106 × 10⁻⁷ unit pole	3.291 × 10⁻⁷
25 Φ₀ 4.113825 × 10⁻⁷ unit pole	4.114 × 10⁻⁷
50 Φ₀ 8.22765 × 10⁻⁷ unit pole	8.228 × 10⁻⁷
100 Φ₀ 1.64553 × 10⁻⁶ unit pole	1.646 × 10⁻⁶
250 Φ₀ 4.113825 × 10⁻⁶ unit pole	4.114 × 10⁻⁶
500 Φ₀ 8.22765 × 10⁻⁶ unit pole	8.228 × 10⁻⁶
1000 Φ₀ 1.64553 × 10⁻⁵ unit pole	1.646 × 10⁻⁵

Unit Pole to Magnetic Flux Quantum: Reciprocal Summary

Rule: 1 Unit Pole is equal to 6.077069 × 10⁷ Φ₀ (Magnetic Flux Quantum)

Unit Pole to Magnetic Flux Quantum Conversion Reference Table
Reciprocal & Equivalent Value	Scientific Notation
1 unit pole 6.077069 × 10⁷ Φ₀	6.077 × 10⁷
5 unit pole 3.038535 × 10⁸ Φ₀	3.039 × 10⁸
10 unit pole 6.077069 × 10⁸ Φ₀	6.077 × 10⁸
50 unit pole 3.038535 × 10⁹ Φ₀	3.039 × 10⁹
100 unit pole 6.077069 × 10⁹ Φ₀	6.077 × 10⁹

View Complete 15-Row Unit Pole to Magnetic Flux Quantum Table

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 Unit Pole (unit pole):

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

Unit Pole References:

Large hydroelectric power plant generator magnetic pole flux 795774.75 unit pole
High-field laboratory research electromagnet core pole flux 79577.48 unit pole
Utility electrical distribution transformer primary winding flux 397887.38 unit pole

Tap any benchmark above to automatically calculate its exact equivalent in Unit Pole.

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

How to Convert Magnetic Flux Quantum to Unit Pole

Converting Magnetic Flux Quantum (Φ₀) to Unit Pole (unit pole) is a core calculation in Magnetic Flux, which measures the total magnetic field passing through a given surface area. Because Unit Pole is a broader physical scale than Magnetic Flux Quantum, converting from Φ₀ to unit pole condenses the numerical figure. It takes 6.077069 × 10⁷ Magnetic Flux Quantum to equal a single Unit Pole (1 Φ₀ = 1.64553 × 10⁻⁸ unit pole). To convert any quantity, multiply by 1.64553 × 10⁻⁸ (or divide by 6.077069 × 10⁷).

Direct Factor1 Φ₀ = 1.64553 × 10⁻⁸ unit pole

Inverse Ratio1 unit pole = 6.077069 × 10⁷ Φ₀

Conversion ScaleDirect Proportional Magnitude Compression

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:

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 (k_source):1 Φ₀ = 2.067834 × 10⁻¹⁵ weber (Wb)

2. Target SI Bridge (k_target):1 unit pole = 1.256637 × 10⁻⁷ weber (Wb)

Step-by-step substitution for Magnetic Flux Quantum → Unit Pole:V(unit pole) = V(Φ₀) × ( 2.067834 × 10⁻¹⁵ / 1.256637 × 10⁻⁷ ) = V(Φ₀) × 1.64553 × 10⁻⁸

Mathematical FormulaValue in Unit Pole = Value in Magnetic Flux Quantum × 1.64552997 × 10⁻⁸Direct computational formula applied for standard conversion.

Worked Example

Evaluating an input of 12 Magnetic Flux Quantum (Φ₀) produces 1.974636 × 10⁻⁷ Unit Pole (unit pole). In heavy-duty utility and industrial workloads, 5000 Φ₀ equals 8.22765 × 10⁻⁵ unit pole.

Inverse check: 1 unit pole = 6.077069 × 10⁷ Φ₀.

Understanding Magnetic Flux Quantum and Unit Pole

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).

Input Total Magnetic Flux (Φ): Φ₀

Select Core Cross-Section Area: 0.01 m²

Governing Law: 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

Tesla

CGS Standard

2.07 × 10⁻⁹

Gauss

Hall Sensor Scale

2.0678 × 10⁻¹⁰

Millitesla

Geomagnetic Unit

2.07 × 10⁻⁷

μT

Microtesla

Total Flux (0.01m²)

2.067834 × 10⁻¹⁵

Webers (0.01 m² Core)

CGS Flux (0.01m²)

2.07 × 10⁻⁷

Maxwells (0.01 m² Core)

Step-by-Step Numerical Derivation Proof View Derivation

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))

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

Frequently Asked Questions

There are exactly 1.64552997 × 10⁻⁸ unit poles (unit pole) 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 1.64552997 × 10⁻⁸.

The mathematical formula to convert magnetic flux quantums to unit poles is: [value] * 1.64552997 × 10⁻⁸ = unit poles. 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 unit poles back to magnetic flux quantums, you must divide your starting value by 1.64552997 × 10⁻⁸. Our bidirectional tool automatically computes this inverse equation the moment you type into the unit pole input field.

1 Unit Pole is larger than 1 Magnetic Flux Quantum. Specifically, 1 Magnetic Flux Quantum equals 1.64552997 × 10⁻⁸ unit poles, meaning 1 Unit Pole is 6.0771 × 10⁷ times larger than 1 Magnetic Flux Quantum (a difference of 7.78 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 1.64552997 × 10⁻⁸ unit poles. Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.