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Magnetomotive Force Converter

Convert between different magnetomotive force units including Ampere turn, Kiloampere turn, Milliampere turn, Microampere turn, Abampere turn, Gilbert, EMU, ESU, and more. Fast and accurate magnetomotive force conversion with comprehensive unit support.

Result

1 Ampere turn = 1.256637 Gilbert

Complete Guide to Magnetomotive Force Conversion

Magnetomotive force conversion is essential across electrical engineering, electromagnetism, magnetic circuit design, transformer design, motor design, inductor design, and countless applications where magnetic field strength and magnetic flux are essential. Whether you're calculating magnetic circuits in ampere turns, converting between different magnetomotive force units, working with magnetic field calculations, converting between SI and CGS units, converting between different magnetomotive force units, or converting between different magnetomotive force units, our free online magnetomotive force converter makes it easy to convert between Ampere turn, Kiloampere turn, Milliampere turn, Microampere turn, Abampere turn, Gilbert, EMU, ESU, and other magnetomotive force units instantly. Understanding magnetomotive force units and conversions is crucial for accurate measurements in electrical engineering, electromagnetism, magnetic circuit design, and international communication.

Understanding Magnetomotive Force Measurement Systems

Magnetomotive force (MMF) is the magnetic analog of electromotive force (EMF) in electrical circuits. It represents the driving force that produces magnetic flux in a magnetic circuit, similar to how voltage drives current in an electrical circuit. The International System of Units (SI) defines magnetomotive force in Ampere turns (At), which is the product of current in amperes and the number of turns in a coil. Understanding these units and their conversions is essential for accurate measurements across electrical engineering, electromagnetism, and magnetic circuit design applications.

SI Units (Scientific)

Ampere Turn (At) - The Base Unit

Ampere Turn is the SI base unit for magnetomotive force, representing the product of current in amperes and the number of turns in a coil. One ampere turn is the magnetomotive force produced by a current of one ampere flowing through a coil with one turn. The Ampere Turn serves as the foundation for all other magnetomotive force units, which use standard SI prefixes or historical relationships.

Ampere Turn Multiples

  • Kiloampere Turn (kAt): 1,000 At - Used for large magnetic circuits, power transformers, large electromagnets
  • Megaampere Turn (MAt): 1,000,000 At - Used for very large magnetic circuits, industrial applications

Ampere Turn Submultiples

  • Milliampere Turn (mAt): 0.001 At - Used for small magnetic circuits, precision applications
  • Microampere Turn (µAt): 0.000001 At - Used for very small magnetic circuits, sensitive measurements

CGS Units

Gilbert (Gi)

Gilbert is a CGS unit of magnetomotive force, named after William Gilbert. One Gilbert equals (10/4π) Ampere turns, approximately 0.7958 At. The Gilbert is commonly used in older literature and some engineering applications. The conversion factor is: 1 Gi = (10/4π) At ≈ 0.7957747 At, or equivalently, 1 At = (4π/10) Gi ≈ 1.256637 Gi.

Abampere Turn (abAt)

Abampere Turn is an EMU (Electromagnetic Unit) of magnetomotive force. One Abampere Turn equals 10 Ampere turns (1 abAt = 10 At). This unit is part of the CGS electromagnetic system and is used in some specialized applications.

EMU and ESU Units

EMU of magnetomotive force equals 10 At (same as Abampere Turn). ESU of magnetomotive force equals approximately 2.654 × 10⁻¹¹ At, representing an extremely small unit used in theoretical physics and specialized electromagnetic calculations.

How to Convert Ampere Turn to Gilbert

Converting Ampere Turn to Gilbert is one of the most common magnetomotive force conversions, especially when working with magnetic circuits and electromagnetic devices. To convert from Ampere Turn to Gilbert, multiply the At value by (4π/10), which equals approximately 1.256637. This conversion factor comes from the definition: 1 Gilbert = (10/4π) Ampere turns ≈ 0.7958 At, so 1 At = (4π/10) Gi ≈ 1.2566 Gi. For example, 10 At = 10 × (4π/10) = 4π Gi ≈ 12.5664 Gi. This conversion is essential for understanding magnetomotive force measurements, where Ampere turns are used in SI-based calculations while Gilberts are used in CGS-based systems and older engineering literature. The relationship is straightforward: simply multiply At by (4π/10) or approximately 1.256637 to get Gi, or multiply Gi by (10/4π) or approximately 0.7958 to get At. For quick mental calculations, you can approximate 1 At ≈ 1.26 Gi, though our converter uses the exact conversion factor (4π/10) for precision. This conversion is particularly important when working with magnetic circuit analysis, transformer design, electromagnetic device specifications, comparing SI and CGS measurements, and understanding historical engineering literature.

Magnetomotive Force vs Magnetic Field: Understanding the Relationship

One of the most important concepts in magnetomotive force conversion is understanding the relationship between magnetomotive force and magnetic field:

  • Magnetomotive Force (MMF): The driving force that produces magnetic flux in a magnetic circuit, measured in Ampere turns (At) or Gilberts (Gi). It's analogous to voltage in electrical circuits.
  • Magnetic Field Strength (H): The intensity of the magnetic field, measured in Amperes per meter (A/m) or Oersteds (Oe). It represents the magnetic field per unit length.
  • Magnetic Flux (Φ): The total magnetic field passing through a surface, measured in Webers (Wb) or Maxwells (Mx).

The relationship is: MMF = H × l, where H is magnetic field strength and l is the length of the magnetic path. In magnetic circuits, MMF is related to magnetic flux through the magnetic reluctance (similar to resistance in electrical circuits): MMF = Φ × R, where R is magnetic reluctance. Understanding this distinction helps clarify that magnetomotive force conversions measure the driving force, while magnetic field strength and flux measure different aspects of the magnetic system.

Magnetomotive Force Conversion Formulas

Our magnetomotive force converter uses these precise formulas for accurate conversions:

Ampere Turn to Gilbert:

Gi = At × (4π/10) ≈ At × 1.256637

Gilbert to Ampere Turn:

At = Gi × (10/4π) ≈ Gi × 0.795775

Ampere Turn to Kiloampere Turn:

kAt = At ÷ 1,000

Kiloampere Turn to Ampere Turn:

At = kAt × 1,000

Ampere Turn to Milliampere Turn:

mAt = At × 1,000

Milliampere Turn to Ampere Turn:

At = mAt ÷ 1,000

Ampere Turn to Abampere Turn:

abAt = At ÷ 10

Abampere Turn to Ampere Turn:

At = abAt × 10

Magnetomotive Force Formula:

MMF = N × I

Where N = number of turns, I = current in amperes

Magnetic Circuit Relationship:

MMF = Φ × R = H × l

Where Φ = magnetic flux, R = magnetic reluctance, H = magnetic field strength, l = path length

Magnetomotive Force Conversion Table

Quick reference for converting between common magnetomotive force units:

UnitAtGikAtmAt
1 At11.2566370.0011,000
1 Gi0.79577510.000796795.775
1 kAt1,0001,256.63711,000,000
1 mAt0.0010.0012570.0000011
1 abAt1012.566370.0110,000
10 At1012.566370.0110,000
50 At5062.831850.0550,000
100 At100125.66370.1100,000
500 At500628.31850.5500,000
1,000 At1,0001,256.63711,000,000
5,000 At5,0006,283.18555,000,000
10,000 At10,00012,566.371010,000,000
10 Gi7.95775100.0079587,957.75
50 Gi39.78875500.03978939,788.75
100 Gi79.57751000.07957879,577.5
500 Gi397.88755000.397888397,887.5
1,000 Gi795.7751,0000.795775795,775
1 kAt1,0001,256.63711,000,000
5 kAt5,0006,283.18555,000,000
10 kAt10,00012,566.371010,000,000
100 mAt0.10.1256640.0001100
500 mAt0.50.6283190.0005500
1,000 mAt11.2566370.0011,000

Common Magnetomotive Force Conversion Examples

Ampere Turn to Gilbert Conversions:

  • 1 At = 1.256637 Gi
  • 10 At = 12.56637 Gi
  • 50 At = 62.83185 Gi
  • 100 At = 125.6637 Gi
  • 500 At = 628.3185 Gi
  • 1,000 At = 1,256.637 Gi
  • 5,000 At = 6,283.185 Gi

Gilbert to Ampere Turn Conversions:

  • 1 Gi = 0.795775 At
  • 10 Gi = 7.95775 At
  • 50 Gi = 39.78875 At
  • 100 Gi = 79.5775 At
  • 500 Gi = 397.8875 At
  • 1,000 Gi = 795.775 At
  • 5,000 Gi = 3,978.875 At

Ampere Turn to Kiloampere Turn:

  • 1,000 At = 1 kAt
  • 5,000 At = 5 kAt
  • 10,000 At = 10 kAt
  • 50,000 At = 50 kAt
  • 100,000 At = 100 kAt
  • 1 kAt = 1,000 At

Ampere Turn to Milliampere Turn:

  • 1 At = 1,000 mAt
  • 0.1 At = 100 mAt
  • 0.5 At = 500 mAt
  • 10 At = 10,000 mAt
  • 100 At = 100,000 mAt
  • 1,000 mAt = 1 At

Frequently Asked Questions (FAQ)

How do I convert Ampere Turn to Gilbert?

To convert Ampere Turn to Gilbert, multiply the At value by (4π/10), which equals approximately 1.256637. The formula is: Gi = At × (4π/10) ≈ At × 1.256637. For example, 10 At = 10 × (4π/10) = 4π Gi ≈ 12.5664 Gi. One Gilbert equals approximately 0.7958 Ampere Turns. This conversion is essential for understanding magnetomotive force measurements, where Ampere turns are used in SI-based calculations while Gilberts are used in CGS-based systems and older engineering literature.

How many Gilberts are in 1 Ampere Turn?

One Ampere Turn equals approximately 1.256637 Gilberts (exactly 4π/10 Gi). To convert At to Gi, multiply the At value by (4π/10). For example, 100 At = 100 × (4π/10) = 40π Gi ≈ 125.6637 Gi. This conversion is essential for understanding magnetomotive force measurements when working with CGS units.

How do I convert Gilbert to Ampere Turn?

To convert Gilbert to Ampere Turn, multiply the Gi value by (10/4π), which equals approximately 0.795775. The formula is: At = Gi × (10/4π) ≈ Gi × 0.795775. For example, 100 Gi = 100 × (10/4π) = 1000/4π At ≈ 79.5775 At. One Ampere Turn equals approximately 1.256637 Gilberts. This conversion is essential for understanding magnetomotive force measurements when working with SI units.

What is an Ampere Turn in simple terms?

An Ampere Turn is the SI unit of magnetomotive force, representing the product of current in amperes and the number of turns in a coil. One ampere turn is the magnetomotive force produced by a current of one ampere flowing through a coil with one turn. It's essential for magnetic circuit analysis, transformer design, and electromagnetic device calculations.

What is a Gilbert in simple terms?

A Gilbert is a CGS unit of magnetomotive force, named after William Gilbert. One Gilbert equals (10/4π) Ampere turns, approximately 0.7958 At. The Gilbert is commonly used in older literature and some engineering applications. It's part of the CGS electromagnetic system.

How do I convert Ampere Turn to Kiloampere Turn?

To convert Ampere Turn to Kiloampere Turn, divide the At value by 1,000. The formula is: kAt = At ÷ 1,000. For example, 5,000 At = 5,000 ÷ 1,000 = 5 kAt. One Kiloampere Turn equals exactly 1,000 Ampere Turns. This conversion is essential for understanding large magnetomotive force values in power transformers and large electromagnetic devices.

How do I convert Ampere Turn to Milliampere Turn?

To convert Ampere Turn to Milliampere Turn, multiply the At value by 1,000. The formula is: mAt = At × 1,000. For example, 0.5 At = 0.5 × 1,000 = 500 mAt. One Milliampere Turn equals exactly 0.001 Ampere Turns. This conversion is essential for understanding small magnetomotive force values in precision applications.

What is the difference between Magnetomotive Force and Magnetic Field Strength?

Magnetomotive Force (MMF) is the driving force that produces magnetic flux in a magnetic circuit, measured in Ampere turns (At) or Gilberts (Gi). Magnetic Field Strength (H) is the intensity of the magnetic field per unit length, measured in Amperes per meter (A/m) or Oersteds (Oe). The relationship is: MMF = H × l, where l is the length of the magnetic path.

Can I use this magnetomotive force converter for transformer design?

Yes! This magnetomotive force converter is perfect for transformer design, magnetic circuit analysis, and electromagnetic device calculations. Convert between Ampere turns (used in SI-based calculations) and Gilberts (used in CGS-based systems) for transformer specifications, magnetic circuit design, and understanding electromagnetic device performance. For example, a transformer with 1,000 At = 1,256.637 Gi.

How do I calculate Magnetomotive Force from current and turns?

To calculate Magnetomotive Force from current and turns, multiply the current in amperes by the number of turns: MMF = N × I, where N is the number of turns and I is the current in amperes. For example, a coil with 100 turns and 5 amperes produces 100 × 5 = 500 At of magnetomotive force.

What units are supported in this magnetomotive force converter?

Our magnetomotive force converter supports 9 units including: Ampere turn (At), Kiloampere turn (kAt), Milliampere turn (mAt), Microampere turn (µAt), Abampere turn (abAt), Gilbert (Gi), EMU of magnetomotive force, ESU of magnetomotive force, and more. All conversions use precise conversion factors based on international standards.

How accurate is this magnetomotive force converter?

Our magnetomotive force converter uses precise conversion factors based on international standards. Results are calculated with high precision and automatically formatted for optimal readability. All conversions follow official SI unit definitions and internationally recognized magnetomotive force unit relationships.

What are common magnetomotive force values in everyday applications?

Common magnetomotive force values: Small electromagnets (10-100 At), Transformers (100-10,000 At), Large power transformers (10-100 kAt), Precision magnetic circuits (1-100 mAt), Industrial electromagnets (1-10 kAt), Magnetic relays (10-500 At).

How do I convert between SI and CGS magnetomotive force units?

To convert between SI (Ampere turn) and CGS magnetomotive force units: 1 At = (4π/10) Gi ≈ 1.256637 Gi, 1 Gi = (10/4π) At ≈ 0.795775 At, 1 abAt = 10 At (EMU), 1 ESU ≈ 2.654 × 10⁻¹¹ At. The conversion factors differ between SI and CGS systems due to different base unit definitions.

Real-World Applications

Transformer Design and Analysis

Magnetomotive force conversion is fundamental in transformer design for calculating magnetic flux, magnetic field strength, and transformer performance. Converting between Ampere turns (used in SI-based calculations) and Gilberts (used in CGS-based systems) helps engineers design transformers, analyze magnetic circuits, and ensure optimal performance. For example, a transformer with 5,000 At = 5 kAt = 6,283.185 Gi.

Magnetic Circuit Analysis

Magnetic circuit analysis requires magnetomotive force conversions for understanding magnetic flux, magnetic reluctance, and magnetic field distribution. Converting between different MMF units helps engineers analyze magnetic circuits, design electromagnetic devices, and optimize magnetic system performance. The relationship MMF = Φ × R is fundamental in magnetic circuit analysis.

Electromagnetic Device Design

Electromagnetic device design requires magnetomotive force conversions for motors, generators, solenoids, and other electromagnetic devices. Converting between Ampere turns and Gilberts helps engineers design efficient electromagnetic devices, calculate magnetic field strength, and ensure proper device operation. For example, a motor with 10,000 At = 10 kAt = 12,566.37 Gi.

Research and Development

Research and development in electromagnetism requires magnetomotive force conversions for experimental measurements, theoretical calculations, and scientific analysis. Converting between SI and CGS units helps researchers work with different measurement systems, compare results, and understand electromagnetic phenomena across different unit systems.

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Tips for Magnetomotive Force Conversion

  • Quick Approximation: For At to Gi, multiply by 1.26 (exact: 4π/10 ≈ 1.256637)
  • Remember Key Values: 1 At = 1.256637 Gi, 1 Gi = 0.795775 At, 1 kAt = 1,000 At
  • SI Prefixes: Standard SI prefixes apply (kilo, milli, micro, mega)
  • CGS Units: 1 Gi = (10/4π) At ≈ 0.7958 At, 1 abAt = 10 At
  • Common Conversions: 100 At ≈ 125.66 Gi, 1,000 At = 1 kAt = 1,256.64 Gi
  • Magnetic Circuit Formula: MMF = N × I = H × l = Φ × R
  • SI vs CGS: 1 At = (4π/10) Gi, 1 abAt = 10 At (EMU)