Magnetic Flux Density Converter
Convert between different magnetic flux density units including Tesla, Kilotesla, Millitesla, Microtesla, Nanotesla, Weber/square meter, Weber/square centimeter, Weber/square inch, Maxwell/square meter, Maxwell/square centimeter, Maxwell/square inch, Gauss, Line/square centimeter, Line/square inch, Gamma, and more. Fast and accurate magnetic flux density conversion with comprehensive unit support.
Result
1 Tesla = 10000 Gauss
Complete Guide to Magnetic Flux Density Conversion
Magnetic flux density conversion is essential across electrical engineering, electromagnetism, magnetic circuit design, transformer design, motor design, generator design, magnetic material characterization, magnetic field measurements, magnetic resonance imaging (MRI), magnetic levitation, magnetic sensors, and countless applications where magnetic flux density and magnetic field strength are essential. Whether you're calculating magnetic flux density in teslas, converting between different magnetic flux density units, working with magnetic flux density measurements, converting between SI and CGS units, converting between different magnetic flux density units, or converting between different magnetic flux density units, our free online magnetic flux density converter makes it easy to convert between Tesla, Kilotesla, Millitesla, Microtesla, Nanotesla, Weber/square meter, Weber/square centimeter, Weber/square inch, Maxwell/square meter, Maxwell/square centimeter, Maxwell/square inch, Gauss, Line/square centimeter, Line/square inch, Gamma, and other magnetic flux density units instantly. Understanding magnetic flux density units and conversions is crucial for accurate measurements in electrical engineering, electromagnetism, magnetic circuit design, and international communication.
Understanding Magnetic Flux Density Measurement Systems
Magnetic flux density (B) is a measure of the strength of a magnetic field at a given point. It represents the amount of magnetic flux per unit area perpendicular to the magnetic field direction. Magnetic flux density is fundamental to understanding electromagnetic induction, transformers, generators, motors, magnetic materials, and magnetic field measurements. The International System of Units (SI) defines magnetic flux density in Teslas (T), which is one Weber per square meter (1 T = 1 Wb/m²). Understanding these units and their conversions is essential for accurate measurements across electrical engineering, electromagnetism, and magnetic circuit design applications.
SI Units (Scientific)
Tesla (T) - The Base Unit
Tesla is the SI base unit for magnetic flux density, representing one Weber per square meter (1 T = 1 Wb/m²). The Tesla serves as the foundation for all other magnetic flux density units, which use standard SI prefixes or historical relationships. One Tesla equals 10,000 Gauss (1 T = 10,000 G). The Tesla is named after Nikola Tesla, the inventor and electrical engineer.
Tesla Multiples
- Kilotesla (kT): 1,000 T - Used for extremely strong magnetic fields, laboratory research, theoretical calculations
- Megatesla (MT): 1,000,000 T - Used for theoretical calculations, astrophysical contexts
Tesla Submultiples
- Millitesla (mT): 0.001 T - Common in magnetic field measurements, MRI systems, magnetic sensors
- Microtesla (µT): 0.000001 T - Used for weak magnetic fields, Earth's magnetic field, environmental measurements
- Nanotesla (nT): 0.000000001 T - Used for very weak magnetic fields, geophysical measurements, space physics
Alternative SI Units
Weber per Square Meter (Wb/m²) equals 1 T, since magnetic flux density is defined as magnetic flux per unit area. Weber per Square Centimeter (Wb/cm²) equals 10,000 T (1 Wb/cm² = 10,000 Wb/m² = 10,000 T). Weber per Square Inch (Wb/in²) equals approximately 1,550.0031 T (1 Wb/in² ≈ 1,550.0031 T). These units provide alternative ways to express magnetic flux density based on magnetic flux and area relationships.
CGS Units
Gauss (G or Gs)
Gauss is a CGS unit of magnetic flux density, named after Carl Friedrich Gauss. One Gauss equals 10⁻⁴ Teslas (1 G = 0.0001 T = 10⁻⁴ T). The Gauss is commonly used in older literature, some engineering applications, and for expressing weaker magnetic fields. The conversion factor is: 1 G = 10⁻⁴ T, or equivalently, 1 T = 10⁴ G = 10,000 G.
Maxwell per Square Meter/Centimeter/Inch
Maxwell per Square Meter (Mx/m²) equals 10⁻⁸ T (1 Mx/m² = 10⁻⁸ T). Maxwell per Square Centimeter (Mx/cm²) equals 10⁻⁴ T (1 Mx/cm² = 10⁻⁴ T = 1 G). Maxwell per Square Inch (Mx/in²) equals approximately 1.55 × 10⁻⁵ T. These units are used in CGS-based calculations and provide a way to express magnetic flux density in terms of magnetic flux and area.
Line per Square Centimeter/Inch
Line per Square Centimeter equals Maxwell per Square Centimeter (1 line/cm² = 1 Mx/cm² = 10⁻⁴ T = 1 G). Line per Square Inch equals Maxwell per Square Inch (1 line/in² = 1 Mx/in² ≈ 1.55 × 10⁻⁵ T). These units are used in some engineering contexts and provide a convenient way to express magnetic flux density in multiples of lines.
Specialized Units
Gamma
Gamma equals one Nanotesla (1 gamma = 1 nT = 10⁻⁹ T). This unit is commonly used in geophysics, space physics, and for measuring very weak magnetic fields such as Earth's magnetic field variations. One gamma is equivalent to 0.00001 Gauss (1 gamma = 0.00001 G).
How to Convert Tesla to Gauss
Converting Tesla to Gauss is one of the most common magnetic flux density conversions, especially when working with magnetic circuits and electromagnetic devices. To convert from Tesla to Gauss, multiply the T value by 10,000 (10⁴). This conversion factor comes from the definition: 1 Gauss = 10⁻⁴ Teslas, so 1 Tesla = 10⁴ Gauss = 10,000 G. For example, 1 T = 1 × 10,000 = 10,000 G. This conversion is essential for understanding magnetic flux density measurements, where Teslas are used in SI-based calculations while Gauss are used in CGS-based systems and older engineering literature. The relationship is straightforward: simply multiply T by 10,000 to get G, or divide G by 10,000 to get T. For quick mental calculations, you can approximate 1 T ≈ 10,000 G (exact conversion). 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. Many magnetic field measurements are expressed in Gauss, especially for weaker fields, while stronger fields are often expressed in Teslas. For instance, Earth's magnetic field is approximately 25-65 microteslas (0.000025-0.000065 T) or 0.25-0.65 Gauss, while MRI machines operate at 1.5-3 Teslas (15,000-30,000 Gauss).
Magnetic Flux Density vs Magnetic Flux: Understanding the Relationship
One of the most important concepts in magnetic flux density conversion is understanding the relationship between magnetic flux density and magnetic flux:
- Magnetic Flux Density (B): The strength of a magnetic field at a given point, measured in Teslas (T) or Gauss (G). It represents the amount of magnetic flux per unit area perpendicular to the magnetic field direction.
- Magnetic Flux (Φ): The total magnetic field passing through a surface area, measured in Webers (Wb) or Maxwells (Mx). It represents the total number of magnetic field lines passing through a surface.
- Relationship: B = Φ / A, where A is the area perpendicular to the magnetic field. This shows that magnetic flux density equals magnetic flux divided by area.
The relationship is: B = Φ / A, where A is the area perpendicular to the magnetic field. This fundamental relationship shows that magnetic flux density equals magnetic flux divided by area. For example, a magnetic flux of 1 Wb over an area of 1 m² produces a magnetic flux density of 1 T. Understanding this distinction helps clarify that magnetic flux density conversions measure the strength of a magnetic field at a point, while magnetic flux measures the total magnetic field passing through a surface.
Magnetic Flux Density Conversion Formulas
Our magnetic flux density converter uses these precise formulas for accurate conversions:
Tesla to Gauss:
G = T × 10⁴ = T × 10,000
Gauss to Tesla:
T = G ÷ 10⁴ = G ÷ 10,000
Tesla to Millitesla:
mT = T × 1,000
Millitesla to Tesla:
T = mT ÷ 1,000
Tesla to Microtesla:
µT = T × 1,000,000
Microtesla to Tesla:
T = µT ÷ 1,000,000
Tesla to Gamma:
gamma = T × 1,000,000,000 = T × 10⁹
Gamma to Tesla:
T = gamma ÷ 1,000,000,000 = gamma ÷ 10⁹
Magnetic Flux Density Formula:
B = Φ / A
Where B = magnetic flux density (T), Φ = magnetic flux (Wb), A = area (m²)
Magnetic Force Formula:
F = q × v × B
Where F = force (N), q = charge (C), v = velocity (m/s), B = magnetic flux density (T)
Magnetic Flux Density from Magnetic Field:
B = μ₀ × H
Where B = magnetic flux density (T), μ₀ = permeability of free space (4π × 10⁻⁷ H/m), H = magnetic field strength (A/m)
Magnetic Flux Density Conversion Table
Quick reference for converting between common magnetic flux density units:
| Unit | T | mT | G | gamma |
|---|---|---|---|---|
| 1 T | 1 | 1,000 | 10,000 | 1,000,000,000 |
| 1 mT | 0.001 | 1 | 10 | 1,000,000 |
| 1 G | 0.0001 | 0.1 | 1 | 100,000 |
| 1 gamma | 0.000000001 | 0.000001 | 0.00001 | 1 |
| 0.1 T | 0.1 | 100 | 1,000 | 100,000,000 |
| 0.5 T | 0.5 | 500 | 5,000 | 500,000,000 |
| 1.5 T | 1.5 | 1,500 | 15,000 | 1,500,000,000 |
| 3 T | 3 | 3,000 | 30,000 | 3,000,000,000 |
| 10 mT | 0.01 | 10 | 100 | 10,000,000 |
| 50 mT | 0.05 | 50 | 500 | 50,000,000 |
| 100 mT | 0.1 | 100 | 1,000 | 100,000,000 |
| 500 mT | 0.5 | 500 | 5,000 | 500,000,000 |
| 1,000 mT | 1 | 1,000 | 10,000 | 1,000,000,000 |
| 10 G | 0.001 | 1 | 10 | 1,000,000 |
| 100 G | 0.01 | 10 | 100 | 10,000,000 |
| 1,000 G | 0.1 | 100 | 1,000 | 100,000,000 |
| 10,000 G | 1 | 1,000 | 10,000 | 1,000,000,000 |
| 50 µT | 0.00005 | 0.05 | 0.5 | 50,000 |
| 100 µT | 0.0001 | 0.1 | 1 | 100,000 |
| 1 Wb/m² | 1 | 1,000 | 10,000 | 1,000,000,000 |
| 1 Mx/cm² | 0.0001 | 0.1 | 1 | 100,000 |
| 1 line/cm² | 0.0001 | 0.1 | 1 | 100,000 |
Common Magnetic Flux Density Conversion Examples
Tesla to Gauss Conversions:
- 1 T = 10,000 G
- 0.1 T = 1,000 G
- 0.5 T = 5,000 G
- 1.5 T = 15,000 G
- 3 T = 30,000 G
- 1 mT = 10 G
- 10 mT = 100 G
- 100 mT = 1,000 G
Gauss to Tesla Conversions:
- 1 G = 0.0001 T
- 10 G = 0.001 T = 1 mT
- 100 G = 0.01 T = 10 mT
- 1,000 G = 0.1 T = 100 mT
- 10,000 G = 1 T
- 50,000 G = 5 T
- 100,000 G = 10 T
Tesla to Millitesla:
- 1 T = 1,000 mT
- 0.1 T = 100 mT
- 0.5 T = 500 mT
- 1.5 T = 1,500 mT
- 3 T = 3,000 mT
- 1,000 mT = 1 T
Tesla to Microtesla:
- 1 T = 1,000,000 µT
- 0.001 T = 1,000 µT
- 0.01 T = 10,000 µT
- 1 mT = 1,000 µT
- 10 mT = 10,000 µT
- 1,000,000 µT = 1 T
Frequently Asked Questions (FAQ)
How do I convert Tesla to Gauss?
To convert Tesla to Gauss, multiply the T value by 10,000 (10⁴). The formula is: G = T × 10⁴ = T × 10,000. For example, 1 T = 1 × 10,000 = 10,000 G. One Gauss equals 10⁻⁴ Teslas (0.0001 T). This conversion is essential for understanding magnetic flux density measurements, where Teslas are used in SI-based calculations while Gauss are used in CGS-based systems and older engineering literature.
How many Gauss are in 1 Tesla?
One Tesla equals exactly 10,000 Gauss (10⁴ G). To convert T to G, multiply the T value by 10,000. For example, 0.5 T = 0.5 × 10,000 = 5,000 G. This conversion is essential for understanding magnetic flux density measurements when working with CGS units.
How do I convert Gauss to Tesla?
To convert Gauss to Tesla, divide the G value by 10,000 (10⁴). The formula is: T = G ÷ 10⁴ = G ÷ 10,000. For example, 10,000 G = 10,000 ÷ 10,000 = 1 T. One Gauss equals 10⁻⁴ Teslas. This conversion is essential for understanding magnetic flux density measurements when working with SI units.
What is a Tesla in simple terms?
A Tesla is the SI unit of magnetic flux density, representing one Weber per square meter (1 T = 1 Wb/m²). In practical terms, one Tesla equals 10,000 Gauss. It's essential for magnetic circuit analysis, transformer design, electromagnetic device calculations, and magnetic field measurements. The Tesla is named after Nikola Tesla, the inventor and electrical engineer.
What is a Gauss in simple terms?
A Gauss is a CGS unit of magnetic flux density, named after Carl Friedrich Gauss. One Gauss equals 10⁻⁴ Teslas (0.0001 T). The Gauss is commonly used in older literature, some engineering applications, and for expressing weaker magnetic fields. It's part of the CGS electromagnetic system.
How do I convert Tesla to Millitesla?
To convert Tesla to Millitesla, multiply the T value by 1,000. The formula is: mT = T × 1,000. For example, 0.5 T = 0.5 × 1,000 = 500 mT. One Millitesla equals exactly 0.001 Teslas. This conversion is essential for understanding magnetic flux density values in magnetic field measurements and magnetic sensors.
How do I convert Tesla to Microtesla?
To convert Tesla to Microtesla, multiply the T value by 1,000,000. The formula is: µT = T × 1,000,000. For example, 0.001 T = 0.001 × 1,000,000 = 1,000 µT. One Microtesla equals exactly 0.000001 Teslas. This conversion is essential for understanding weak magnetic flux density values in environmental measurements and Earth's magnetic field.
What is the difference between Magnetic Flux Density and Magnetic Flux?
Magnetic Flux Density (B) is the strength of a magnetic field at a given point, measured in Teslas (T) or Gauss (G). It represents the amount of magnetic flux per unit area perpendicular to the magnetic field direction. Magnetic Flux (Φ) is the total magnetic field passing through a surface area, measured in Webers (Wb) or Maxwells (Mx). The relationship is: B = Φ / A, where A is the area perpendicular to the magnetic field. For example, a magnetic flux of 1 Wb over an area of 1 m² produces a magnetic flux density of 1 T.
Can I use this magnetic flux density converter for MRI design?
Yes! This magnetic flux density converter is perfect for MRI design, magnetic circuit analysis, and electromagnetic device calculations. Convert between Teslas (used in SI-based calculations) and Gauss (used in CGS-based systems) for MRI specifications, magnetic circuit design, and understanding electromagnetic device performance. For example, a 1.5 T MRI = 1,500 mT = 15,000 G.
How do I calculate Magnetic Flux Density from magnetic flux?
To calculate Magnetic Flux Density from magnetic flux, divide the magnetic flux (Φ) by the area (A) perpendicular to the magnetic field: B = Φ / A, where B is magnetic flux density in T, Φ is magnetic flux in Wb, and A is area in m². For example, 1 Wb / 1 m² = 1 T, or 0.001 Wb / 0.001 m² = 1 T.
What is the relationship between Tesla and Weber per Square Meter?
Tesla and Weber per Square Meter are equivalent units: 1 T = 1 Wb/m². This relationship comes from the definition of magnetic flux density (B = Φ / A). One Tesla equals one Weber per Square Meter (since magnetic flux density equals magnetic flux divided by area). This relationship is fundamental in understanding magnetic flux density measurements.
What units are supported in this magnetic flux density converter?
Our magnetic flux density converter supports 16 units including: Tesla (T), Kilotesla (kT), Megatesla (MT), Millitesla (mT), Microtesla (µT), Nanotesla (nT), Weber/square meter (Wb/m²), Weber/square centimeter (Wb/cm²), Weber/square inch (Wb/in²), Maxwell/square meter (Mx/m²), Maxwell/square centimeter (Mx/cm²), Maxwell/square inch (Mx/in²), Gauss (G, Gs), Line/square centimeter, Line/square inch, Gamma, and more. All conversions use precise conversion factors based on international standards.
How accurate is this magnetic flux density converter?
Our magnetic flux density 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 magnetic flux density unit relationships.
What are common magnetic flux density values in everyday applications?
Common magnetic flux density values: Earth's magnetic field (25-65 µT or 0.25-0.65 G), Refrigerator magnets (0.001-0.01 T or 10-100 G), Small permanent magnets (0.01-0.1 T or 100-1,000 G), Large permanent magnets (0.1-1 T or 1,000-10,000 G), MRI machines (1.5-3 T or 15,000-30,000 G), Laboratory magnets (10-20 T or 100,000-200,000 G), Pulsed magnets (up to 100 T or 1,000,000 G).
How do I convert between SI and CGS magnetic flux density units?
To convert between SI (Tesla) and CGS magnetic flux density units: 1 T = 10⁴ G = 10,000 G, 1 G = 10⁻⁴ T = 0.0001 T, 1 T = 10⁸ Mx/m², 1 Mx/cm² = 10⁻⁴ T = 1 G. The conversion factors differ between SI and CGS systems due to different base unit definitions.
Real-World Applications
Magnetic Resonance Imaging (MRI)
Magnetic flux density conversion is fundamental in MRI design for calculating magnetic field strength, optimizing image quality, and ensuring patient safety. Converting between Teslas (used in SI-based calculations) and Gauss (used in CGS-based systems) helps engineers design MRI systems, analyze magnetic field requirements, and ensure proper device operation. For example, a 1.5 T MRI = 1,500 mT = 15,000 G, while a 3 T MRI = 3,000 mT = 30,000 G.
Magnetic Levitation and Transportation
Magnetic levitation (maglev) systems require magnetic flux density conversions for understanding magnetic field requirements, calculating lift forces, and optimizing system performance. Converting between different flux density units helps engineers design efficient maglev systems, calculate magnetic field requirements, and ensure proper system operation. For example, maglev trains typically operate at 1-2 T (10,000-20,000 G).
Magnetic Sensors and Instrumentation
Magnetic sensors require magnetic flux density conversions for understanding sensor sensitivity, calculating detection limits, and optimizing sensor performance. Converting between different flux density units helps engineers design sensitive magnetic sensors, analyze magnetic field measurements, and optimize sensor performance. For example, Hall effect sensors typically detect fields from 0.001 T to 1 T (10 G to 10,000 G).
Geophysical and Space Physics
Geophysical and space physics measurements require magnetic flux density conversions for understanding Earth's magnetic field, solar magnetic fields, and planetary magnetic fields. Converting between Teslas and Gamma helps scientists analyze magnetic field variations, understand geomagnetic phenomena, and optimize measurement accuracy. For example, Earth's magnetic field is approximately 25-65 µT (0.25-0.65 G or 25,000-65,000 gamma).
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Tips for Magnetic Flux Density Conversion
- Quick Approximation: For T to G, multiply by 10,000 (exact: 10⁴)
- Remember Key Values: 1 T = 10,000 G, 1 mT = 10 G, 1 µT = 0.01 G
- SI Prefixes: Standard SI prefixes apply (kilo, milli, micro, nano, mega)
- CGS Units: 1 G = 10⁻⁴ T, 1 Mx/cm² = 10⁻⁴ T = 1 G, 1 line/cm² = 1 G
- Equivalent Units: 1 T = 1 Wb/m²
- Magnetic Flux Density Formula: B = Φ / A (flux density = flux / area)
- SI vs CGS: 1 T = 10⁴ G, 1 G = 10⁻⁴ T