Relation Between Gauss and Tesla - A Complete Guide

What is Gauss?

Gauss is the unit of magnetic induction in the CGS system. It is named after Carl Friedrich Gauss, a famous German physicist.

The base unit of Gauss is, $1 \mathrm{~cm}^{-1 / 2} \mathrm{~g}^{1 / 2} \mathrm{~s}^{-1}$

1 gauss is defined as 1dyne of force which exerts on a charge of 1emu which moves in velocity of 1cm/s in the magnetic field perpendicularly.

What is Tesla?

Tesla is a unit of magnetic field intensity or magnetic induction. In other words, the SI unit of magnetic induction is Tesla or it. It is usually denoted by T. This unit is named after Nikola Tesla, the famous American physicist.

Tesla $=K g s^{-2} A^{-1}$

1 Tesla is defined as the intensity of a magnetic field which generates a force of 1Newton per current of 1Ampere and a conductor of one meter.

So 1 Tesla is equal to 1N of force which exerts on coulomb of charge of 1C which moves in velocity of 1m/s in the magnetic field perpendicularly.

Relation Between Gauss and Tesla

The relation between Gauss and Tesla is used to convert the measurement of magnetic field strength between the CGS system and the SI system.

• Tesla (T) is the SI unit of magnetic field (magnetic flux density).
• Gauss (G) is the CGS unit of magnetic field.

The relationship between them is:

$
1 \text { Tesla }=10,000 \text { Gauss }
$

or

$
1 \text { Gauss }=10^{-4} \text { Tesla }
$

Conversion of Gauss to Tesla or Tesla to Gauss

1. Conversion Formulas

From Gauss to Tesla:

$
1 \text { Gauss }=10^{-4} \text { Tesla }
$

$
\Rightarrow \text { Tesla }=\text { Gauss } \times 10^{-4}
$

From Tesla to Gauss:

$
1 \text { Tesla }=10^4 \text { Gauss }
$

$\Rightarrow$ Gauss $=$ Tesla $\times 10^4$
2. Examples

Convert 5000 Gauss to Tesla:

$
5000 \times 10^{-4}=0.5 \text { Tesla }
$
Convert 2 Tesla to Gauss:

$
2 \times 10^4=20,000 \text { Gauss }
$