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How Many Gauss Is 1 Tesla

How Many Gauss Is 1 Tesla

Edited By Team Careers360 | Updated on Mar 24, 2023 04:17 PM IST

Answer: 1 \text { Tesla }=10^4 \text { Gauss } \ 1 Tesla = 104 Gauss

The creation of voltage (or Electromotive force (EMF)) over an electrical wire placed inside a changing magnetic field is known as magnetic induction, also known as electromagnetic induction. As stated by Faraday's law, the induced electromotive force for a closed circuit is equal to the rate of change of the magnetic flux contained by the circuit.

Induction was first observed in 1831 by Michael Faraday, and James Clerk Maxwell mathematically named it Faraday's law of induction. The induced field's direction is described by Lenz's law. Later, Faraday's law was expanded into the Maxwell-Faraday equation. Electrical devices like electric motors and generators as well as parts like inductors and transformers have all found uses for electromagnetic induction.

Background wave

The gauss, symbol G (occasionally Gs), is a magnetic induction unit of measurement, commonly called magnetic flux density. It is part of the Gaussian unit system. In 1936, it was named after German physicist Carl Friedrich Gauss. One gauss equals one maxwell per square centimetre.

The tesla (symbol T) in the International System of Units is the unit of magnetic induction. One tesla equals one weber per square meter. The unit was introduced during the 1960 General Conference on Weights and Measures, as an honour to Serbian-American mechanical and electrical engineer Nikola Tesla.

Equations should not be used to express the relationship between Gauss and Tesla. They are equivalents. The main distinction is that-

  • The gauss is the magnetic flux density unit in the centimetre-gram-seconds (CGS) system, which is a three-dimensional unit system family.

  • Gauss can thus be stated exclusively in centimetres, grams, and seconds.

  • Tesla is a seven-dimensional system that is used to express magnetic flux density in the International System of Units (SI).

  • This means that tesla cannot be described solely in terms of meters, kilograms, and seconds. It contains the fourth-dimensional electromagnetic unit, which is the electrical unit.

Derivation

We know 1 \mathrm{~T}=(1 \mathrm{~N} / 1 \mathrm{C}) \times 1 \mathrm{~m} / \mathrm{s}

In GGS Units

1 \mathrm{~N}=10^5 \mathrm{dyne}

1 \mathrm{C}=10^{-1} \mathrm{emu}

1 \mathrm{~m} / \mathrm{s}=10^2 \mathrm{~cm} / \mathrm{s}

Now

1 \mathrm{~T}=10^5 \mathrm{dyne} / 10^{-1} \mathrm{emu} \times 10^2 \mathrm{~cm} / \mathrm{s}

1 \mathrm{~T}=10^4 \mathrm{dyne} /(\mathrm{emu}) \mathrm{cm} / \mathrm{s}=10^4 \mathrm{Gauss}

Therefore Gauss is used in CGS representation

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Examples

  1. Now let us find how many Gauss is present in 5 Tesla

We know 1 \text { Tesla }=10^4 \text { Gauss } \ 1 Tesla = 104 Gauss

When it is 5 Tesla, multiply both sides of the equation with 5

\begin{aligned}

& 5 \times 1 \text { Tesla }=5 \times 10^4 \text { Gauss } \

& 5 \text { Tesla }=50000 \text { Gauss }

\end{aligned}

1679654463440

  1. How many Gauss is present in 11 Tesla

We know 1 \text { Tesla }=10^4 \text { Gauss } \ 1 Tesla = 104 Gauss

When it is 11 Tesla, multiply both sides of the equation with 11

\begin{aligned}

& 11 \times 1 \text { Tesla }=11 \times 10^4 \text { Gauss } \

& 11 \text { Tesla }=110000 \text { Gauss }

\end{aligned}

1679654462945

  1. How many Gauss is present in 37 Tesla

We know 1 \text { Tesla }=10^4 \text { Gauss } \ 1 Tesla = 104 Gauss

When it is 5 Tesla, multiply both sides of the equation with 5

\begin{aligned}

& 37 \times 1 \text { Tesla }=37 \times 10^4 \text { Gauss } \

& 37 \text { Tesla }=370000 \text { Gauss }

\end{aligned}

1679654463510

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