Question

What is epsilon zero and why does it come into use, particularly in the case of Gauss's Law?

Answer 1

it is permittivity of free space means how much air or vaccum permits electric field to travel from one charge to other.it is constant .

Answer 2

1st it is read as epsilon not and not epsilon zero see it represents the permitivity of electric field in vaccum. u can understand it as to what extent or limit the electricty is is allowed in vaccum. it has got a standard numerical value. now what happens is when u solve any question in books the medium u take is not vaccum or sumtimes it will be vaccum. in order to solve the questions not in vaccum u have to take relative permittivity .

Answer 3

It is also a constant number that is used in coulmb law, and this is the reason it appears in guass's law which is strictly connected to the electric force.
If u will claculate the flux of the electric field through a sphere that contains a point charge in its middle (the simplest example for gauss's law) u will see that epsilon zero comes up as a constant easier to use than K

Answer 4

its just a different way to write the constant K, it was basically created because in the equations of Gauss` Laws its easier to work with episolon zero other than K

Answer 5

se while k= 1/4 pi episolon0

Answer 6

u mix that equation around and u get
episolon 0=1/4piK

Answer 7

As some people said before, it is called permittivity of vacuum and is a coefficient allowing you to express the electrostatic force between two charges.

Its unit in SI is farad per metre, which immediately shows that it will appear when expressing the capacitance of a capacitor.

This is why you can say that ɛₒ is the capacitance of two plates in a vacuum, 1m² in surface-area and 1m apart from each other.

Such a capacitor has a very low capacitance of 8.85 10^(-12) F, that is :
\[\epsilon _{0}=8.85\:\:10^{-12}F\:m ^{-1}\]

Answer 8

\[\epsilon_0\] is just a constant. Like \[K\] in Columb law

Answer 9

eo is nothing but the permittivity of free space or vacuum and its value is 8.854*10^-12 C2N-1M-2. It is a constant