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Milliampere turns to Kiloampere turns Converter (mAt to kAt)

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Live Conversion • ISO 80000-6:2022 Certified
1 Milliampere turn = 1 × 10⁻⁶ Kiloampere turn
1 mAt = 1 × 10⁻⁶ kAt • 1 kAt = 1,000,000 mAt
Milliampere turn to Kiloampere turn: One Milliampere turn is equal to 1 × 10⁻⁶ Kiloampere turns.
Certified Authority Value
0.00000100
kAt
Exact: 1 kAt ≡ 1000000 mAt
mAt
mAt
kAt
kAt 1 × 10⁻⁶
Quick Values:
Conversion Formula
To convert Milliampere turn to Kiloampere turn, multiply by 1 × 10⁻⁶
mAt × 1 × 10⁻⁶ = kAt

Calculation: 1 mAt × 1 × 10⁻⁶ = 1 × 10⁻⁶ kAt

Common Milliampere turn to Kiloampere turn Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Milliampere turn (mAt) and Kiloampere turn (kAt).

Tap any row to calculate
Milliampere turn to Kiloampere turn: Primary Direct Table (15 Steps)
Milliampere turn to Kiloampere turn Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 mAt 1 × 10⁻⁹ kAt 1 × 10⁻⁹
0.01 mAt 1 × 10⁻⁸ kAt 1 × 10⁻⁸
0.1 mAt 1 × 10⁻⁷ kAt 1 × 10⁻⁷
0.5 mAt 5 × 10⁻⁷ kAt 5 × 10⁻⁷
1 mAt 1 × 10⁻⁶ kAt 1 × 10⁻⁶
2 mAt 2 × 10⁻⁶ kAt 2 × 10⁻⁶
5 mAt 5 × 10⁻⁶ kAt 5 × 10⁻⁶
10 mAt 1 × 10⁻⁵ kAt 1 × 10⁻⁵
20 mAt 2 × 10⁻⁵ kAt 2 × 10⁻⁵
25 mAt 2.5 × 10⁻⁵ kAt 2.5 × 10⁻⁵
50 mAt 5 × 10⁻⁵ kAt 5 × 10⁻⁵
100 mAt 0.0001 kAt 1 × 10⁻⁴
250 mAt 0.00025 kAt 2.5 × 10⁻⁴
500 mAt 0.0005 kAt 5 × 10⁻⁴
1000 mAt 0.001 kAt 1 × 10⁻³
Kiloampere turn to Milliampere turn: Reciprocal Summary
Kiloampere turn to Milliampere turn Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 kAt 1000000 mAt 1 × 10⁶
5 kAt 5000000 mAt 5 × 10⁶
10 kAt 1 × 10⁷ mAt 1 × 10⁷
50 kAt 5 × 10⁷ mAt 5 × 10⁷
100 kAt 1 × 10⁸ mAt 1 × 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 Milliampere turn (mAt) and Kiloampere turn (kAt):

Milliampere turn References:

  • Sensitive mirror galvanometer electrical measuring coil bias 50 mAt

Kiloampere turn References:

  • Industrial scrap-metal scrapyard lifting electromagnet MMF 20 kAt
  • Particle physics synchrotron quadrupole focusing magnet coil 50 kAt
ISQ Dimension: [I] Coherent SI Unit: ampere (A) / ampere-turn (At) Electromagnetism, Circuits & Field Theory

How to Convert Milliampere turn to Kiloampere turn

Converting Milliampere turn (mAt) to Kiloampere turn (kAt) is a core calculation in Magnetomotive Force, which measures the magnetic potential difference that drives magnetic flux through a magnetic circuit. Both units reside within the International System of Units (SI) and share an identical physical dimension vector ([I]), separated strictly by a decimal order-of-magnitude factor (10^-6). Because this shift involves integer powers of 10, the conversion is mathematically exact and free from decimal rounding or irrational fractional loss. Exactly 1 Milliampere turn equals 1 × 10⁻⁶ Kiloampere turn.

Direct Factor1 mAt = 1 × 10⁻⁶ kAt
Inverse Ratio1 kAt = 1000000 mAt
Conversion ScalePure SI Metric Prefix Shift (10ⁿ Decimal Scaling)
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 (ampere (A) / ampere-turn (At)) 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 mAt = 0.001 ampere (A) / ampere-turn (At)
2. Target SI Bridge (ktarget):1 kAt = 1000 ampere (A) / ampere-turn (At)
Step-by-step substitution for Milliampere turn → Kiloampere turn:V(kAt) = V(mAt) × ( 0.001 / 1000 ) = V(mAt) × 1 × 10⁻⁶
Mathematical FormulaValue in Kiloampere turn = Value in Milliampere turn × 1 × 10⁻⁶Direct computational formula applied for standard conversion.
Worked Example

Evaluating an input of 24 Milliampere turn (mAt) produces 2.4 × 10⁻⁵ Kiloampere turn (kAt). In heavy-duty utility and industrial workloads, 100 mAt equals 0.0001 kAt.

Inverse check: 1 kAt = 1000000 mAt.

Understanding Milliampere turn and Kiloampere turn

Milliampere turn

mAt
SI Submultiple

A Milliampere turn (mAt) is a decimal submultiple of the SI-derived unit for magnetomotive force.

Applications & Practical Context

In practical magnetomotive force terms, a sensitive mirror galvanometer electrical measuring coil bias equals 50 mAt.

Physical Setup

A physical magnitude of 1 mAt corresponds to 0.001 At in standard SI measurement.

Conversion to SI Unit: ampere-turn (At)
1 mAt = 0.001 At

Kiloampere turn

kAt
SI Multiple

A Kiloampere turn (kAt) is a decimal multiple of the SI-derived unit for magnetomotive force.

Applications & Practical Context

In practical magnetomotive force terms, a industrial scrap-metal scrapyard lifting electromagnet MMF equals 20 kAt, a particle physics synchrotron quadrupole focusing magnet coil equals 50 kAt.

Physical Setup

A physical magnitude of 1 kAt corresponds to 1000 At in standard SI measurement.

Conversion to SI Unit: ampere-turn (At)
1 kAt = 1000 At

Domain Metrology & Engineering Applications

Governing Law & Equation

Ampère's Circuital Law (F_m = ∮ H · dl = N · I)

Measurement Instrumentation

Rigorously quantified in laboratory and field settings using Rogowski potential integrators, magnetic potentiometer coils (Chattock gauges), and fluxgate magnetometers.

Primary Industry Sectors

Applied across solenoid actuator engineering, electric motor stator magnetics, transformer core design, and electromagnetic brake systems 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 Ampère's Circuital Law (F_m = ∮ H · dl = N · I) under ISO 80000 dimensional vector [I].

Multi-Variable Engineering Bridge Ampere’s Circuital Law & Magnetization Drive

Magnetomotive Force to Magnetic Field Strength Bridge (A/m • At/m • Oe • kA/m • At/in • At/ft)

Calculate magnetic field strength H = ℱ / l along closed magnetic paths, bridging magnetomotive force [I] and magnetic field strength [L⁻¹ I] via mean magnetic path length (l).

H = ℱ / l
Vector: [At] ÷ [m] → [A/m]
Live Calculated Bridge Equivalent:
1 mAt at EI-150 Laminated Transformer (300 mm) = 0.003333 A/m
Equals 0.003333 At/m • 4.1888 × 10⁻⁵ Oe • 3.3333 × 10⁻⁶ kA/m
SI Field Strength
0.003333
A/m
Amperes per Meter
Coil Winding
0.003333
At/m
Ampere-Turns per Meter
CGS Standard
4.1888 × 10⁻⁵
Oe
Oersteds
High Drive Stator
3.3333 × 10⁻⁶
kA/m
Kiloamperes per Meter
US Transformer
8.4667 × 10⁻⁵
At/in
Ampere-Turns per Inch
US Large Machinery
0.001016
At/ft
Ampere-Turns per Foot
  1. 1. Normalize Input to SI Base Unit (At):
    ℱ = 1 mAt × 0.001 = 0.001 At
  2. 2. Apply Engineering Parameter (l):
    Selected condition: EI-150 Laminated Transformer (300 mm) at l = 0.3 m
  3. 3. Execute Governing Physical Law in SI Units:
    H = ℱ / l = (0.001 At) ÷ (0.3 m) = 0.00333333 A/m
  4. 4. Convert to Standard Engineering Units:
    • A/m: 0.00333333 × 1 = 0.003333 A/m (Amperes per Meter) • At/m: 0.00333333 × 1 = 0.003333 At/m (Ampere-Turns per Meter) • Oe: 0.00333333 × 0.01257 = 4.1888 × 10⁻⁵ Oe (Oersteds) • kA/m: 0.00333333 × 0.001 = 3.3333 × 10⁻⁶ kA/m (Kiloamperes per Meter) • At/in: 0.00333333 × 0.0254 = 8.4667 × 10⁻⁵ At/in (Ampere-Turns per Inch) • At/ft: 0.00333333 × 0.3048 = 0.001016 At/ft (Ampere-Turns per Foot)
Explore Magnetic Field Strength Converter →
Engineering Substance / Operating Standard Parameter Value (m) Reference State / Condition Typical Industrial & Engineering Application
Small Toroidal Core (50 mm Path) 0.05 0.05 m (50 mm) Compact ferrite filter inductor path length
ETD Transformer Magnetic Path (114 mm) 0.114 0.114 m (114 mm) Standard ETD49 core magnetic path length
EI-150 Laminated Transformer (300 mm) 0.3 0.30 m (300 mm) Silicon steel power transformer magnetic circuit
Large AC Stator Perimeter (1.5 m) 1.5 1.50 meters Industrial induction motor stator magnetic path
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Frequently Asked Questions

There are exactly 1 × 10⁻⁶ kiloampere turns (kAt) in 1 milliampere turn (mAt). To calculate larger amounts manually, simply multiply your total number of milliampere turns by the conversion multiplier of 1 × 10⁻⁶.

The mathematical formula to convert milliampere turns to kiloampere turns is: [value] * 1 × 10⁻⁶ = kiloampere turns. 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 kiloampere turns back to milliampere turns, you must divide your starting value by 1 × 10⁻⁶. Our bidirectional tool automatically computes this inverse equation the moment you type into the kiloampere turn input field.

1 Kiloampere turn is larger than 1 Milliampere turn. Specifically, 1 Milliampere turn equals 1 × 10⁻⁶ kiloampere turns, meaning 1 Kiloampere turn is 1000000 times larger than 1 Milliampere turn (a difference of 6.00 orders of magnitude). Expressing measurements in milliampere turns requires a larger numerical value to represent the equivalent physical magnitude.

Under standard international measurement guidelines, 1 Milliampere turn converts to 1 × 10⁻⁶ kiloampere turns. Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.

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