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Ampere turns to Milliampere turns Converter (At to mAt)

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Live Conversion • ISO 80000-6:2022 Certified
1 Ampere turn = 1000 Milliampere turn
1 At = 1,000 mAt • 1 mAt = 0.001 At
Ampere turn to Milliampere turn: One Ampere turn is equal to 1000 Milliampere turns.
Certified Authority Value
1000.00000000
mAt
Exact: 1 mAt ≡ 0.001 At
At
At
mAt
mAt 1000
Quick Values:
Conversion Formula
To convert Ampere turn to Milliampere turn, multiply by 1000
At × 1000 = mAt

Calculation: 1 At × 1000 = 1000 mAt

Common Ampere turn to Milliampere turn Calculations

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

Tap any row to calculate
Ampere turn to Milliampere turn: Primary Direct Table (15 Steps)
Ampere turn to Milliampere turn Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 At 1 mAt 1 × 10⁰
0.01 At 10 mAt 1 × 10¹
0.1 At 100 mAt 1 × 10²
0.5 At 500 mAt 5 × 10²
1 At 1000 mAt 1 × 10³
2 At 2000 mAt 2 × 10³
5 At 5000 mAt 5 × 10³
10 At 10000 mAt 1 × 10⁴
20 At 20000 mAt 2 × 10⁴
25 At 25000 mAt 2.5 × 10⁴
50 At 50000 mAt 5 × 10⁴
100 At 100000 mAt 1 × 10⁵
250 At 250000 mAt 2.5 × 10⁵
500 At 500000 mAt 5 × 10⁵
1000 At 1000000 mAt 1 × 10⁶
Milliampere turn to Ampere turn: Reciprocal Summary
Milliampere turn to Ampere turn Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 mAt 0.001 At 1 × 10⁻³
5 mAt 0.005 At 5 × 10⁻³
10 mAt 0.01 At 1 × 10⁻²
50 mAt 0.05 At 5 × 10⁻²
100 mAt 0.1 At 1 × 10⁻¹

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 Ampere turn (At) and Milliampere turn (mAt):

Ampere turn References:

  • Household electric chime doorbell solenoid coil excitation 100 At
  • Automotive starter motor heavy solenoid contactor coil 1500 At
  • Audio speaker voice coil driving dynamic paper cone 25 At

Milliampere turn References:

  • Sensitive mirror galvanometer electrical measuring coil bias 50 mAt
ISQ Dimension: [I] Coherent SI Unit: ampere (A) / ampere-turn (At) Electromagnetism, Circuits & Field Theory

How to Convert Ampere turn to Milliampere turn

Converting Ampere turn (At) to Milliampere turn (mAt) 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 (10^3). Because this shift involves integer powers of 10, the conversion is mathematically exact and free from decimal rounding or irrational fractional loss. Exactly 1 Ampere turn equals 1000 Milliampere turn.

Direct Factor1 At = 1000 mAt
Inverse Ratio1 mAt = 0.001 At
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 At = 1 ampere (A) / ampere-turn (At)
2. Target SI Bridge (ktarget):1 mAt = 0.001 ampere (A) / ampere-turn (At)
Step-by-step substitution for Ampere turn → Milliampere turn:V(mAt) = V(At) × ( 1 / 0.001 ) = V(At) × 1000
Mathematical FormulaValue in Milliampere turn = Value in Ampere turn × 1000Direct computational formula applied for standard conversion.
Worked Example

To convert 24 Ampere turn (At) to Milliampere turn (mAt): multiply 24 by 1000 to get 24000 mAt. At an industrial engineering scale, 1000 At converts to 1000000 mAt.

Inverse check: 1 mAt = 0.001 At.

Understanding Ampere turn and Milliampere turn

Ampere turn

At
SI Base Standard

An Ampere turn (At) is the official base standard unit for magnetomotive force.

Applications & Practical Context

In practical magnetomotive force terms, a household electric chime doorbell solenoid coil excitation equals 100 At, a automotive starter motor heavy solenoid contactor coil equals 1500 At, a audio speaker voice coil driving dynamic paper cone equals 25 At.

Physical Setup

A magnetomotive force of 1 At is generated by a single wire turn carrying an electric current of 1 ampere.

Conversion to SI Unit: ampere-turn (At)
1 At = 1 At (Base Standard)

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

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 At at EI-150 Laminated Transformer (300 mm) = 3.3333 A/m
Equals 3.3333 At/m • 0.04189 Oe • 0.003333 kA/m
SI Field Strength
3.3333
A/m
Amperes per Meter
Coil Winding
3.3333
At/m
Ampere-Turns per Meter
CGS Standard
0.04189
Oe
Oersteds
High Drive Stator
0.003333
kA/m
Kiloamperes per Meter
US Transformer
0.08467
At/in
Ampere-Turns per Inch
US Large Machinery
1.016
At/ft
Ampere-Turns per Foot
  1. 1. Normalize Input to SI Base Unit (At):
    ℱ = 1 At × 1 = 1 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 = (1 At) ÷ (0.3 m) = 3.333333 A/m
  4. 4. Convert to Standard Engineering Units:
    • A/m: 3.333333 × 1 = 3.3333 A/m (Amperes per Meter) • At/m: 3.333333 × 1 = 3.3333 At/m (Ampere-Turns per Meter) • Oe: 3.333333 × 0.01257 = 0.04189 Oe (Oersteds) • kA/m: 3.333333 × 0.001 = 0.003333 kA/m (Kiloamperes per Meter) • At/in: 3.333333 × 0.0254 = 0.08467 At/in (Ampere-Turns per Inch) • At/ft: 3.333333 × 0.3048 = 1.016 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 1000 milliampere turns (mAt) in 1 ampere turn (At). To calculate larger amounts manually, simply multiply your total number of ampere turns by the conversion multiplier of 1000.

The mathematical formula to convert ampere turns to milliampere turns is: [value] * 1000 = milliampere 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 milliampere turns back to ampere turns, you must divide your starting value by 1000. Our bidirectional tool automatically computes this inverse equation the moment you type into the milliampere turn input field.

1 Ampere turn is larger than 1 Milliampere turn. Specifically, 1 Ampere turn equals exactly 1000 milliampere turns, making it 1000 times larger (a difference of 3.00 orders of magnitude). Therefore, quantities expressed in milliampere turns require a larger numerical value to represent the same physical amount.

Under standard international measurement guidelines, 1 Ampere turn converts to 1000 milliampere turns. Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.

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