Gauss to Tesla Converter
Convert magnetic field strength between gauss, tesla, and oersted. Enter values for instant results with step-by-step formulas.
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Where 1 Tesla equals exactly 10,000 Gauss. The conversion factor is 0.0001 (or 10^-4). This relationship comes from the defined conversion between CGS and SI electromagnetic units. To convert Tesla to Gauss, multiply by 10,000.
Last reviewed: December 2025
Worked Examples
Example 1: Permanent Magnet Specification
Example 2: MRI Field Strength Conversion
Background & Theory
The Gauss to Tesla Converter applies the following established principles and formulas. Unit conversion is the process of expressing a quantity in a different unit of measurement while preserving its physical meaning. At the foundation of modern measurement lies the International System of Units (SI), which defines seven base units: the meter for length, kilogram for mass, second for time, ampere for electric current, kelvin for thermodynamic temperature, mole for amount of substance, and candela for luminous intensity. All other units, called derived units, are defined as algebraic combinations of these seven. Dimensional analysis is the principal method for performing unit conversions. By treating units as algebraic quantities that can be multiplied, divided, and cancelled, a conversion factor chain allows a value expressed in one unit to be rewritten in another without altering its physical magnitude. For example, to convert 60 miles per hour to meters per second, one multiplies by a chain of conversion factors each equal to one: (1609.34 m / 1 mile) × (1 hour / 3600 s). Metric prefixes enable compact expression of quantities across extreme ranges of magnitude. Standard prefixes span from nano (10^-9) through micro (10^-6) and milli (10^-3) up through kilo (10^3), mega (10^6), and giga (10^9), and beyond in both directions. These prefixes are strictly multiplicative and apply consistently to any SI base or derived unit. Temperature conversions require affine transformations rather than simple scaling. To convert Celsius to Fahrenheit the formula is °F = (°C × 9/5) + 32, while the conversion to the absolute Kelvin scale is K = °C + 273.15. These formulas reflect the different zero points and degree-size conventions of each scale. Significant figures govern how precision is preserved through calculations. A result should not express more precision than the least precise input value permits. In digital storage, IEEE and IEC standards distinguish between decimal prefixes (kilobyte = 1000 bytes) and binary prefixes (kibibyte = 1024 bytes), a distinction that has practical consequences for how storage capacity is reported by manufacturers versus operating systems. Unit coherence — ensuring that all quantities in an equation share a consistent unit system — is essential for obtaining correct results.
History
The history behind the Gauss to Tesla Converter traces back through the following developments. Human beings have been measuring and comparing quantities since before recorded history. The earliest known measurement units were body-based: the cubit (the distance from elbow to fingertip), the foot, the hand, and the digit. The furlong originated as the length of a furrow a team of oxen could plow without resting. These anthropomorphic standards were practical for local use but differed between regions and kingdoms, creating persistent difficulties in trade and construction. The ancient Egyptians standardized the royal cubit at approximately 52.4 centimeters and distributed calibrated granite rods to ensure consistency across building projects, including the pyramids. Roman engineers used the mile (mille passuum, one thousand double paces) and spread these standards throughout their empire via road networks. Despite these efforts, measurement diversity persisted across medieval Europe, hampering commerce. The French Revolution created political will for radical standardization. In 1795 France officially adopted the metric system, defining the meter as one ten-millionth of the distance from the equator to the North Pole along the Paris meridian. This gave the world its first fully decimal, rationally constructed measurement system. The Metre Convention of 1875 established the International Bureau of Weights and Measures (BIPM) in Sevres, France, creating a permanent international body to maintain physical artifact standards and coordinate global metrology. For over a century, the kilogram was defined by a platinum-iridium cylinder locked in a vault near Paris. In 1999, a stark demonstration of what unit inconsistency costs occurred when NASA's Mars Climate Orbiter was lost because one engineering team used pound-force seconds while another used newton seconds. The spacecraft entered the Martian atmosphere at the wrong angle and was destroyed, at a cost of 327 million dollars. In 2019 the SI underwent its most significant revision, redefining all seven base units in terms of fixed numerical values of fundamental physical constants such as the speed of light, Planck's constant, and the elementary charge. This eliminated any reliance on physical artifacts and made the measurement system permanently stable and universally reproducible.
Frequently Asked Questions
Formula
Tesla = Gauss x 0.0001
Where 1 Tesla equals exactly 10,000 Gauss. The conversion factor is 0.0001 (or 10^-4). This relationship comes from the defined conversion between CGS and SI electromagnetic units. To convert Tesla to Gauss, multiply by 10,000.
Worked Examples
Example 1: Permanent Magnet Specification
Problem: A neodymium magnet is rated at 12,500 gauss surface field. Convert to tesla and millitesla.
Solution: Tesla = Gauss x 0.0001\nTesla = 12,500 x 0.0001\nTesla = 1.25 T\n\nMillitesla = Gauss x 0.1\nMillitesla = 12,500 x 0.1 = 1,250 mT\n\nMicrotesla = 12,500 x 100 = 1,250,000 uT
Result: 12,500 Gauss = 1.25 Tesla = 1,250 mT
Example 2: MRI Field Strength Conversion
Problem: A hospital MRI machine operates at 3 Tesla. Express this in gauss.
Solution: Gauss = Tesla / 0.0001\nGauss = 3 / 0.0001\nGauss = 30,000 Gauss\n\nThis is 30 kilogauss, which is approximately 60,000 times stronger than Earth magnetic field.\nA/m = 30,000 x 79.5775 = 2,387,325 A/m
Result: 3 Tesla = 30,000 Gauss = 30 kG
Frequently Asked Questions
What is a gauss and how is it used to measure magnetic fields?
A gauss (G) is a unit of magnetic flux density in the CGS (centimeter-gram-second) system of units, named after the German mathematician Carl Friedrich Gauss. One gauss equals one maxwell per square centimeter, representing the magnetic flux density that produces a force of one dyne on a unit magnetic pole. Despite being superseded by the tesla in the SI system, gauss remains widely used in many practical applications. Refrigerator magnets produce about 50 gauss, typical ferrite magnets produce 300 to 1000 gauss, and neodymium magnets can produce 10,000 to 14,000 gauss at their surface. The Earth magnetic field measures approximately 0.25 to 0.65 gauss depending on location and altitude.
What is a tesla and why is it the SI standard for magnetic fields?
A tesla (T) is the SI unit of magnetic flux density, named after the Serbian-American inventor Nikola Tesla. One tesla equals one weber per square meter, or equivalently, one kilogram per ampere per second squared. The tesla was adopted as the SI standard because it integrates seamlessly with other SI units in electromagnetic equations. One tesla is a very strong magnetic field: MRI machines typically operate at 1.5 to 3 tesla, powerful research magnets reach 10 to 45 tesla, and the strongest continuous magnetic field ever produced in a laboratory is about 45.5 tesla. In everyday applications, magnetic fields are usually measured in millitesla or microtesla because one tesla represents an exceptionally strong field.
What is the exact conversion between gauss and tesla?
The conversion between gauss and tesla is exactly 1 tesla equals 10,000 gauss, or equivalently, 1 gauss equals 0.0001 tesla (which equals 0.1 millitesla or 100 microtesla). This clean power-of-ten relationship makes mental conversion straightforward. To convert gauss to tesla, divide by 10,000 or move the decimal point four places to the left. To convert tesla to gauss, multiply by 10,000 or move the decimal point four places to the right. For example, a 5000 gauss magnet equals 0.5 tesla, and a 1.5 tesla MRI machine has a field of 15,000 gauss. This exact conversion factor arises from the defined relationship between CGS and SI electromagnetic units.
What is an oersted and how does it relate to gauss?
An oersted (Oe) is the CGS unit of magnetic field strength (H-field), while gauss measures magnetic flux density (B-field). In vacuum and air, the numerical values of gauss and oersted are identical because the relative permeability of these media is essentially 1.0. This convenient numerical equivalence often causes confusion because the units measure physically different quantities. Inside magnetic materials, the gauss and oersted values are very different. For example, inside a soft iron core with relative permeability of 5000, a 1 oersted applied field produces 5000 gauss of flux density. The SI equivalents are: 1 oersted equals 79.5775 amperes per meter, and 1 gauss equals 0.0001 tesla. Understanding this distinction is essential for magnetic circuit design.
How are gauss and tesla used in electromagnet and motor design?
In electromagnet and electric motor design, gauss and tesla are fundamental to calculating performance parameters. Motor designers specify the air gap flux density, typically 5,000 to 10,000 gauss (0.5 to 1.0 tesla) for conventional motors and up to 15,000 gauss for high-performance designs. The torque output is directly proportional to the air gap flux density times the current-carrying conductor length. Transformer cores are designed to operate at specific flux densities, usually 10,000 to 17,000 gauss (1.0 to 1.7 tesla) for silicon steel cores, to maximize power density without excessive core losses from saturation. Exceeding the saturation flux density, typically 20,000 gauss for silicon steel, causes a sharp increase in magnetizing current and core losses. Finite element analysis software models field distributions in gauss or tesla.
Can I use the results for professional or academic purposes?
You may use the results for reference and educational purposes. For professional reports, academic papers, or critical decisions, we recommend verifying outputs against peer-reviewed sources or consulting a qualified expert in the relevant field.
References
Reviewed by Manoj Kumar, Mathematics Educator · Editorial policy