diff --git a/source/electronics/metrics.rst b/source/electronics/metrics.rst index ae66281..209b499 100644 --- a/source/electronics/metrics.rst +++ b/source/electronics/metrics.rst @@ -19,3 +19,57 @@ One Newton is the force required to accelerate :math:`1Kg` of mass, at a rate of .. math:: [N]=kg.m.s^{-2} + +Joule +^^^^^^^^^^ +It is the unit of energy. +Its the force used to move an object when a force of one newton acts on that object in the direction of the force's motion through a distance +of one metre. + +.. math:: + [J]=[N] \times m=kg.m^2.s^{-2} + +Watt +^^^^^^^ +It is the amount of Joules per seconds spent by a system. + +Ampere +^^^^^^^^ +In a working circuit, electrons (Coulomb) are flowing. +They are flowing at a certain bitrate. +This is exactly what ampere measure. + +.. math:: + [A]=\frac{C}{s}=C.s^{-1} + +Volt +^^^^^^^ +To move charges in a circuit, energy is required (energy that push the charges). +This is what volts measure. +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} + +Farad +^^^^^^^^ +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}} + + &=\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 + +Ohm +^^^^^^^ +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} + + &=kg.m^2.s^{-1}.C^{-2}