A magnetic flux is the amount of the magnetic field lines present in the given closed area. Magnetic flux density is the amount of flux passing through the given area which is perpendicular to the magnetic fluxโs direction.

Furthermore, the English alphabet B represents magnetic flux density. Tesla and Gauss are two different ways to measure the magnetic flux density.

**Tesla vs Gauss**

**The main difference between Tesla and Gauss is that the Tesla unit is named after Nikola Tesla, while the Gauss unit is named after Johann Carl Friedrich Gauss. Moreover, Tesla is an international unit for measuring magnetic induction strength. On the other hand, Gauss originated from the Centimeter-Gram-Second system of units.**

Tesla has been counted under the units since 1960. It is represented by its initial T. Tesla is used to measure the effect of the magnetic flux density at the International level.

So, it is the SI unit of magnetic Induction. The formula of Tesla is one Weber (SI unit of magnetic flux) for every meter square.

Gauss is denoted by its initial G or Gs. It is a smaller measuring unit than the SI unit called Tesla as it is a CGS unit. The formula of Gauss is One Maxwell for every Centimeter Square.

In terms of Tesla, Gauss is 1/10000 Tesla. An example to understand Gauss is that when a magnetic field of iron bar is 100 Gs. It is also known as 0.1 T after conversion.

**Comparison Table Between Tesla and Gauss**

Parameters of Comparison | Tesla | Gauss |

Named after | The unit Tesla is named after the famous scientist Nikola Tesla. | The unit Gauss is named after the famous scientist Carl Friedrich Gauss. |

Symbol | The symbol of Tesla is T. | The symbol of Gauss is G or Gs. |

Invented in | The unit Tesla was invented in 1960. | The unit Gauss was invented in 1936. |

Type of Unit | Tesla is a SI Unit of Magnetic flux density. | Gauss is a CGS unit of Magnetic flux density. |

Formula | 1 Tesla= 10000 Gauss 1 Tesla= 1 Weber/ meter square | 1 Gauss= 1/10000 Tesla 1 Gauss= 1 Maxwell/ centimeter square |

**What is a Tesla?**

Tesla is a SI unit of magnetic flux density introduced in 1960. It bears a name after the well-known scientist Nikola Tesla (Serbian-American who invented the rotational magnetic field).

The idea to use the name Tesla was of Avฤin (a French man who invented magnetic core).

Tesla is a unit that measures the powerful form of the magnetic field because it is an international unit. Since magnetic flux density has both magnitude and direction, it is a vector quantity.

So, it is clear that the value calculated in unit Tesla is represented as the vector quantities.

The symbol used for representing the Tesla unit is T. The magnetic flux density of the Halbach array ( a series of permanent magnets having a powerful magnetic effect at one side and zero effect towards another side) has a nearly magnetic flux of 4.5 T.

In terms of the magnetic flux that has SI unit Weber (W),

The formula of Magnetic flux density= Magnetic flux/ Area

1 T= 1 Weber/meter square.

Another formula of Tesla is,

1 Tesla= 1 Newton (N)/ (Current(A) x Meter(m))

It is a situation when a 1-meter long electrode conducts one ampere of current and has 1- Newton attraction. It is a formula of Tesla when Magnetic flux density is also 1. To convert Tesla into Gauss.

The relationship is Tesla =10000 Gauss (CGS unit).

**What is a Gauss?**

Gauss is the centimeter-gram-system (CGS) unit of magnetic field flux. It can also be referred to by its initial G or Gs and is a part of the Gaussian series.

This unit bears the name after well-known personality Carl Friedrich Gauss (a prominent German mathematician responsible for discovering number theory and astronomy).

Unlike Tesla, it was developed to monitor lesser magnetic fields in 1936 since it is a CGS unit.

For example, the human brain induces a smaller magnetic field which is near 1/1000000000 G. Like Tesla, it is also a vector quantity (measures three-dimensional unit system).

Magnetic flux density is computed in Gauss when the area is small and measured in centimeters. Magnetic flux density in Gauss when the magnetic flux is expressed in Weber,

1 Gauss= 0.0001 Weber/ square meter

The relationship between Maxwell (CGS unit of magnetic flux (ฮฆ) which was named after the father of electromagnetism) and Gauss is:

Since 1 Weber (SI unit of Magnetic flux) = 100000000 Maxwell (Mx)

Therefore, 1 Gauss (G)= 1 Maxwell per square centimeter.

The relation between Tesla and Gauss is 1 Gauss = 1/10000 Tesla (T)

Conversions

If the magnetic flux density of refrigerator magnet is CGS unit is 50 G. To represent into SI unit, T, it will be 500000 Tesla (T).

**Main Differences Between Tesla and Gauss**

- Tesla is a SI unit of magnetic flux density. On the other hand, Gauss is a CGS unit of magnetic flux density.
- Tesla units are named after scientist Nikola Tesla (who invented rotational magnetic field). On the contrary, Gauss units are discovered after the name of mathematician Carl Friedrich Gauss.
- Tesla units were invented later in 1960 when compared to Gauss units which, were invented in 1936.
- Tesla units are for measuring powerful magnetic fields. However, Gauss units are for measuring weak magnetic fields.
- The English letter T is an abbreviation of unit Tesla. On the contrary, the Gauss unit can be denoted by two symbols (either English letter G or Gs).

**Conclusion**

The idea of magnetic flux density is to measure the magnetic field in a specific area that is perpendicular to the direction. Since magnetic flux density is the three-dimensional value (length, width, and direction), it is a vector quantity.

Tesla and Gauss are the two vital units required to calculate magnetic flux density.

Tesla is a SI unit for measuring a stronger magnetic field in a given area. However, Gauss being a part of gaussian units is for measuring the weaker effect of the magnetic field.

The relationship between Tesla and Gauss is that T= 10,000 Gauss.

However, the relationship between the magnetic flux density and magnetic flux is that 1 Magnetic flux density in Tesla = 1 Magnetic flux in Weber / Area in a square meter.

**References**

- https://www.sciencedirect.com/science/article/pii/S0094576510001682
- https://www.qscience.com/content/journals/10.5339/gcsp.2014.49

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