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Relation Between Gauss and Tesla - A Complete Guide

Relation Between Gauss and Tesla - A Complete Guide

Team Careers360Updated on 02 Jul 2025, 04:46 PM IST

Gauss and Tesla are units widely used for measuring the magnetic flux density essential in the study of electromagnetism. Tesla, the SI unit, represents larger magnetic fields; in contrast, Gauss is a CGS unit for smaller fields. The relation between them, that is, 1 Tesla = 10,000 Gauss, establishes a connection between the two systems of measurement. It becomes more important when one has to analyze a magnetic field for various applications in physics.

Relation Between Gauss and Tesla - A Complete Guide
Relation Between Gauss and Tesla

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.

Also, read

Relation Between Gauss and Tesla

We are all aware of the attraction and repulsion forces upon a charge entering an electric or magnetic field. Now suppose some moving charge particle enters into the magnetic field then the size of the force experienced or acting on that charged particle is called the intensity of magnetic field or sometimes we will call it Magnetic Induction, which can be calculated using Lorentz as:

$$
F=q(V \times B)
$$

or, $F=q V B \operatorname{Sin} \theta$ $\qquad$ (1)

Here, F = Lorentz force(F)
$q=$ magnitude of the charge on moving particle (C)
$\mathrm{V}=$ velocity of moving particle
$B=$ magnitude of magnetic field intensity
$\& \theta=$ angle between the velocity vector and magnetic field vector.
From equation (1), we can derive, the magnitude of magnetic field intensity as,

$$
B=F / q V
$$
And, the units of this magnetic field intensity are Gauss or Tesla, depending upon the units system considered for the calculation and both the units are also interrelated to each other.

This relation between Gauss and Tesla helps us convert from one unit to another and vice versa and will be proved to be convenient while doing calculations.

Related Topics

The formula of Gauss Law and Tesla

Tesla is a bigger unit than Gauss. The interrelations between Gauss and Tesla can be expressed mathematically as,

From Tesla to Gauss

  • 1 Tesla $=10^4$ Gauss
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From Gauss to Tesla

  • 1 Gauss $=10^{-4}$ Tesla

Here are some of the most commonly used units for the measurements of magnetic flux density.
1 Tesla $=10,000$ Gauss
100 Gauss $=0.01$ Tesla

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 a 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.

Frequently Asked Questions (FAQs)

Q: Can you explain the role of gauss and tesla in understanding magnetic domain theory?
A:
Magnetic domain theory explains the magnetic behavior of materials in terms of regions (domains) with uniform magnetization. The strength of magnetization within these domains, as well as the external field required to align them, is measured in gauss or tesla. This understanding is crucial for designing and optim
Q: How are gauss and tesla used in describing the magnetic fields in magnetars?
A:
Magnetars, a type of neutron star with extremely strong magnetic fields, have field strengths that can reach up to 10^11 tesla (10^15 gauss). These units allow astrophysicists to quantify and compare the immense magnetic fields of different magnetars, helping to understand their unique properties and behavior.
Q: Can you explain how gauss and tesla relate to the concept of magnetic levitation in superconductors?
A:
In superconducting magnetic levitation, a phenomenon known as the Meissner effect expels magnetic fields from the superconductor's interior. The strength of the expelled field, measured in gauss or tesla, determines the levitation force. Understanding this relationship is crucial for applications like frictionless bearings and levitating trains.
Q: How are gauss and tesla used in describing the magnetic fields in particle accelerators?
A:
Particle accelerators use powerful magnets to guide and focus particle beams. The strength of these magnets, often measured in tesla, directly affects the energy and trajectory of the particles. For example, the Large Hadron Collider uses superconducting magnets that produce fields of up to 8.3 tesla to bend the paths of high-energy particles.
Q: What is the significance of gauss and tesla in studying magnetic monopoles?
A:
While magnetic monopoles have not been observed, their hypothetical magnetic field strength would be measured in gauss or tesla. The search for monopoles often involves looking for their effects on magnetic fields, making these units crucial in designing and interpreting experiments aimed at detecting these elusive particles.
Q: How do gauss and tesla relate to the concept of magnetic pressure?
A:
Magnetic pressure, the pressure exerted by a magnetic field, is proportional to the square of the magnetic field strength (B² / 2μ₀, where B is in tesla and μ₀ is the permeability of free space). This relationship shows how magnetic fields, quantified in gauss or tesla, can exert forces comparable to material pressures, which is important in astrophysics and plasma confinement.
Q: Can you explain the role of gauss and tesla in understanding magnetic reconnection?
A:
Magnetic reconnection, a process where magnetic field lines break and reconnect, releasing energy, is often studied in terms of changing magnetic field strengths measured in gauss or tesla. The rate of reconnection and the energy released depend on the strength and configuration of the magnetic fields involved. This concept is crucial in understanding solar flares, magnetospheric dynamics, and plasma physics.
Q: How do gauss and tesla help in understanding the magnetic fields in fusion reactors?
A:
In fusion reactors, extremely strong magnetic fields, often measured in tesla, are used to confine and control the hot plasma. The strength of these fields, which can exceed 10 tesla in some designs, is crucial for maintaining plasma stability and achieving fusion conditions. Understanding and quantifying these fields is essential for fusion reactor design and operation.
Q: What role do gauss and tesla play in understanding the Hall effect?
A:
The Hall effect occurs when a magnetic field (measured in gauss or tesla) is applied perpendicular to a current-carrying conductor. The strength of this field directly affects the magnitude of the Hall voltage. Understanding the relationship between field strength (in gauss or tesla) and the resulting Hall voltage is crucial for applications like Hall effect sensors.
Q: Can you explain how gauss and tesla relate to the concept of magnetic resonance?
A:
Magnetic resonance phenomena, such as those used in NMR and MRI, depend on the interaction between atomic nuclei and external magnetic fields. The resonance frequency is directly proportional to the magnetic field strength, typically expressed in tesla. This relationship, known as the Larmor equation, is fundamental to these powerful analytical and imaging techniques.
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