Relation Between Gauss and Tesla - A Complete Guide

In this article, we will be discussing the relationship between gauss and Tesla and also Weber and Tesla,

Magnetic field intensity

The magnetic field intensity is also called magnetic field strength. The magnetic field intensity is defined as, the force experienced by a unit north pole at that point in the magnetic field. In other words, in a magnetic field, the charged particle experienced a force is called magnetic field intensity.

The magnetic field intensity or magnetic induction can be calculated using Lorentz force.

F=V×q×B×sinθ

So from this equation, we can calculate magnetic induction by rearranging the equation as

B= F/(V×q×sinθ)

Were F = Lorentz force

B = magnetic field intensity or magnetic induction

Q = charge in the magnetic field

The unit of magnetic induction or magnetic field intensity is Tesla or Gauss. These two units can be used depending upon the measuring system. Gauss unit can be used if we are measuring in CGS (centimetre–gram–second system ). Tesla unit can be used if we are measuring the system in SI (system international).

The CGS or centimetre–gram–second system is the measuring system for length, mass, time.

Length – centimetre

Mass - gram

Time – second

The SI or system international is measured as

Length – meter

Mass – kilogram

Time – second

Also read -

• NCERT Solutions for Class 11 Physics
• NCERT Solutions for Class 12 Physics
• NCERT Solutions for All Subjects

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 in hindi टेसला

1Tesla is defined as the intensity of 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.

1 Tesla = NA m/s.

1 Tesla magnetic field is strong.

NCERT Physics Notes:

• NCERT Notes Class 11th Physics
• NCERT Notes Class 12th Physics
• NCERT Notes For All Subjects

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. 1gauss 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.

1 gauss = 1dyne(1emu×1cm/s)

gauss in hindi गॉस

Gauss law is defined as the charge in the closed surface divided by permittivity in the electric flux.

∅_e= Q/ϵ₀

∅_e= electric flux

Q = charge in the closed surface

ϵ₀ = electric constant

Conversion of Gauss to Tesla or Tesla to Gauss:

The Conversion of Gauss to Tesla or Tesla to Gauss is quite simple as both are directly proportional. Tesla is big unit that can be converted into small units.

1 tesla is equal to how many gauss?

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

1Tesla = 1N /(1C * 1m/s)

We know that

1N = 10⁵ dyne

1C = 10^-1 emu

1m/s = 10² cm/s

1Tesla = 10⁵ dyne/(10^-1 emu*10² cm/s)

1Tesla = 10⁴ dyne/(emu*cms)

1Tesla = 10⁴ gauss

Therefore, one tesla is equal to 10⁴gauss.

Conversion of 1 gauss to tesla:

1 gauss is equal to 10^-4 Tesla.

Also read :

• NCERT notes Class 12 Physics Chapter 4 Moving charges and magnetism
• NCERT solutions for Class 12 Physics Chapter 4 Moving charges and magnetism
• NCERT Exemplar Class 12 Physics Solutions Chapter 4 Moving charges and magnetism

What is weber?

The Weber is the SI unit for magnetic flux. The CGS unit for magnetic flux is Maxwell. The magnetic flux ∅ is defined as the total number of magnetic fields crossing a unit area. The weber is named after Wilhelm Eduard Weber, the German Scientist.

∅=B A cosθ

B = magnetic field

A = area

θ= angle to the area and magnetic field

1weber = 1 V/s or 10⁸ Maxwells

Conversion of tesla to weber

1 Tesla = 1 wb/m².

Also check-

• NCERT Exemplar Class 11th Physics Solutions
• NCERT Exemplar Class 12th Physics Solutions
• NCERT Exemplar Solutions for All Subjects