The magnetic induction is expressed in Gauss or Tesla. The gauss from Centimetre Gram- second (CGS) system corresponds to the Tesla of the International System of Units (SI). The relation between Gauss and Tesla is useful in solving the problem.
Gauss and Tesla Formula
The units of the magnetic field or magnetic flux density, Gauss and Tesla relation can be mathematically expressed as-
| Tesla to Gauss formula | 1 Tesla = 104 gauss |
| Gauss to Tesla formula | 1 gauss = 10-4 Tesla |
In order to understand the relation. It is important to know the terms individually.
| Definition | Symbol | Formula | Fundamental unit | |
| 1 Gauss | One maxwell per square cm | G | 1G=cm-½.g1/2.s-1 | G=cm-½.g1/2.s-1 |
| 1 Tesla | One weber per meter square | T | 1T=m-½.kg1/2.s-1 | T=m-½.kg1/2.s-1orT= kg.A-1.s-2 |
Conversion of Gauss and Tesla
The relation between Gauss and Tesla should not be expressed as equations. They are correspondences. The key difference is that-
- The gauss is the unit of magnetic flux density in the CGS system which is the family of three-dimensional unit systems.
- This means that Gauss can be solely expressed using centimetre, gram, and second.
- Tesla is used to expressing magnetic flux density in the SI unit, which is a seven-dimensional system.
- This means that Tesla cannot be expressed with just, meter, kilogram, and second.
It includes the fourth-dimensional electromagnetic unit, which is the unit of electricity.
Below table contains some commonly used values of magnetic flux density
| Units | Values |
| 1 Tesla in gauss | 1tesla = 10,000 gauss |
| 100 gauss to Tesla | 100 gauss= 0.01 Tesla |