loic/science-notes
1
0
Fork 0
Code Issues Pull requests Projects Releases Packages Wiki Activity Actions

Minor changes

Browse source
This commit is contained in:
Loic Guegan 2024-03-06 18:08:27 +01:00
parent f5a8a5fd03
commit 1336049838
1 changed files with 10 additions and 4 deletions
Show stats Download patch file Download diff file Expand all files Collapse all files

14
source/electronics/metrics.rst
View file

@ -50,7 +50,7 @@ A volt is the amount of energy per Coulomb (remember Coulomb
is just a constant).
.. math::
[V]=\frac{[J]}{C}=kg.m^2.s^{-2}.C^{-1}=kg.m^2.s^{-3}.C^{-1}.s=kg.m^2.s^{-3}.A^{-1}
[V]=\frac{[J]}{C}=kg.m^2.s^{-2}.C^{-1}=kg.m^2.s^{-3}.C^{-1}.s=kg.m^2.s^{-3}.[A]^{-1}
Farad
^^^^^^^^
@ -58,11 +58,11 @@ Components can hold electrons (such as capacitor).
Farad defines the amount of Coulomb (electrons) retained by the component for each unit of voltage.
.. math::
{[F]}=\frac{C}{[V]}=\frac{C}{kg.m^2.s^{-3}.A^{-1}}&=\frac{C}{kg.m^2.s^{-3}.C^{-1}.s}=\frac{C}{kg.m^2.s^{-2}.C^{-1}}
{[F]}=\frac{C}{[V]}=\frac{C}{kg.m^2.s^{-3}.[A]^{-1}}&=\frac{C}{kg.m^2.s^{-3}.C^{-1}.s}=\frac{C}{kg.m^2.s^{-2}.C^{-1}}
&=\frac{C^2}{[J]} =\frac{C^2}{[N].m} =\frac{s^2.C^2}{kg.m}
&=\frac{s^4.[A]^2}{kg.m}=m^{-2}.kg^{-1}.s^4.A^2
&=\frac{s^4.[A]^2}{kg.m}=m^{-2}.kg^{-1}.s^4.[A]^2
Ohm
^^^^^^^
@ -70,6 +70,12 @@ In circuits, components can resist to the current and thus reduces it.
Ohm defines the amount of volts required at one end of the resistor to pass one ampere into it.
.. math::
{[\Omega]}=\frac{[V]}{[A]}=\frac{kg.m^2.s^{-3}.A^{-1}}{[A]}=kg.m^2.s^{-3}.[A]^{-2}&=kg.m^2.s^{-3}.C^{-2}.s^{2}
{[\Omega]}=\frac{[V]}{[A]}=\frac{kg.m^2.s^{-3}.[A]^{-1}}{[A]}=kg.m^2.s^{-3}.[A]^{-2}&=kg.m^2.s^{-3}.C^{-2}.s^{2}
&=kg.m^2.s^{-1}.C^{-2}
Henry
^^^^^^^^^^
.. math::
H=\Omega.s=\frac{kg.m^2.s^{-3}.[A]^{-1}}{[A]} \times s = \frac{m^2.kg}{s^2.[A]^2} = m^2.kg.s^{-2}.[A]^{-2}