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%\usepackage{opensans}          % Can't make this work so far. Shame. Would be lovely.
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% Most of the following are not required for the majority
% of cheat sheets but are needed for some symbol support.
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\usepackage{MnSymbol}           % Symbols
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%\usepackage[english,german,french,spanish,italian]{babel}              % Languages

% Document Info
\author{Delegado FM (Learningbizz)}
\pdfinfo{
  /Title (formulario-fisica-f-fib.pdf)
  /Creator (Cheatography)
  /Author (Delegado FM (Learningbizz))
  /Subject (Formulario Fisica 'F' FIB Cheat Sheet)
}

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% Commands
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% Header and Footer
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\fancyhead{} % Set header to blank
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\fancyhead[L]{
\noindent
\begin{multicols}{3}
\begin{tabulary}{5.8cm}{C}
    \SetRowColor{DarkBackground}
    \vspace{-7pt}
    {\parbox{\dimexpr\textwidth-2\fboxsep\relax}{\noindent
        \hspace*{-6pt}\includegraphics[width=5.8cm]{/web/www.cheatography.com/public/images/cheatography_logo.pdf}}
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\columnbreak
\begin{tabulary}{11cm}{L}
    \vspace{-2pt}\large{\bf{\textcolor{DarkBackground}{\textrm{Formulario Fisica 'F' FIB Cheat Sheet}}}} \\
    \normalsize{by \textcolor{DarkBackground}{Delegado FM (Learningbizz)} via \textcolor{DarkBackground}{\uline{cheatography.com/73767/cs/18592/}}}
\end{tabulary}
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\fancyfoot[L]{ \footnotesize
\noindent
\begin{multicols}{3}
\begin{tabulary}{5.8cm}{LL}
  \SetRowColor{FootBackground}
  \mymulticolumn{2}{p{5.377cm}}{\bf\textcolor{white}{Cheatographer}}  \\
  \vspace{-2pt}Delegado FM (Learningbizz) \\
  \uline{cheatography.com/learningbizz} \\
  \end{tabulary}
\vfill
\columnbreak
\begin{tabulary}{5.8cm}{L}
  \SetRowColor{FootBackground}
  \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}}  \\
   \vspace{-2pt}Published 20th January, 2019.\\
   Updated 31st May, 2020.\\
   Page {\thepage} of \pageref{LastPage}.
\end{tabulary}
\vfill
\columnbreak
\begin{tabulary}{5.8cm}{L}
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  \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Sponsor}}  \\
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  \vspace{-5pt}
  %\includegraphics[width=48px,height=48px]{dave.jpeg}
  Measure your website readability!\\
  www.readability-score.com
\end{tabulary}
\end{multicols}}




\begin{document}
\raggedright
\raggedcolumns

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% from this page to resize cheat sheet text:
% www.emerson.emory.edu/services/latex/latex_169.html
\footnotesize % Small font.

\begin{multicols*}{3}

\begin{tabularx}{5.377cm}{x{1.89126 cm} x{3.08574 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Electronica}}  \tn
% Row 0
\SetRowColor{LightBackground}
LED & e-V`y` = I*R \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
Portes Lògiques NMOS & serie: * (AND) \tn 
% Row Count 3 (+ 2)
% Row 2
\SetRowColor{LightBackground}
 & paral·lel: + \tn 
% Row Count 4 (+ 1)
% Row 3
\SetRowColor{white}
Portes Lògiques PMOS & serie: + (OR) \tn 
% Row Count 6 (+ 2)
% Row 4
\SetRowColor{LightBackground}
 & paral·lel: * \tn 
% Row Count 7 (+ 1)
% Row 5
\SetRowColor{white}
Cond. règim estacionari & q = CV(ddp) \tn 
% Row Count 9 (+ 2)
% Row 6
\SetRowColor{LightBackground}
 & q = CV`z`(ddp) \tn 
% Row Count 10 (+ 1)
% Row 7
\SetRowColor{white}
\mymulticolumn{2}{x{5.377cm}}{PMOS} \tn 
% Row Count 11 (+ 1)
% Row 8
\SetRowColor{LightBackground}
Tall: V`GS` \textgreater{}= V`T` & I = 0 \tn 
% Row Count 13 (+ 2)
% Row 9
\SetRowColor{white}
sat: V`GS`- V`T` \textgreater{}= V`DS` & I`o`= B/2 {[}V`GS` - V`T`{]}\textasciicircum{}2\textasciicircum{} \tn 
% Row Count 15 (+ 2)
% Row 10
\SetRowColor{LightBackground}
ohm: V`GS`- V`T`=\textless{}V`DS` & I`o`= B{[}(V`GS` - V`T`)V`DS`- (V`DS`\textasciicircum{}2\textasciicircum{}/2){]} \tn 
% Row Count 17 (+ 2)
% Row 11
\SetRowColor{white}
\mymulticolumn{2}{x{5.377cm}}{NMOS} \tn 
% Row Count 18 (+ 1)
% Row 12
\SetRowColor{LightBackground}
Tall: V`GS` =\textless{} V`T` & I = 0 \tn 
% Row Count 20 (+ 2)
% Row 13
\SetRowColor{white}
sat: V`GS`- V`T` =\textless{} V`DS` & I`o`= B/2 {[}V`GS` - V`T`{]}\textasciicircum{}2\textasciicircum{} \tn 
% Row Count 22 (+ 2)
% Row 14
\SetRowColor{LightBackground}
ohm: V`GS`- V`T`\textgreater{}=V`DS` & I`o`= B{[}(V`GS` - V`T`)V`DS`- (V`DS`\textasciicircum{}2\textasciicircum{}/2){]} \tn 
% Row Count 24 (+ 2)
% Row 15
\SetRowColor{white}
Altres formules & V`DD` = I`D`*R`D`+ V`DS` \tn 
% Row Count 26 (+ 2)
% Row 16
\SetRowColor{LightBackground}
 & V`S`= I`D`*R`2` (if (R2)) \tn 
% Row Count 28 (+ 2)
% Row 17
\SetRowColor{white}
 & V`D`= V`DD`- I`D`*R`D` \tn 
% Row Count 29 (+ 1)
% Row 18
\SetRowColor{LightBackground}
 & Hip. Tall -{}-\textgreater{} Hip. Sat... \tn 
% Row Count 31 (+ 2)
\end{tabularx}
\par\addvspace{1.3em}

\vfill
\columnbreak
\begin{tabularx}{5.377cm}{x{1.89126 cm} x{3.08574 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Electronica (cont)}}  \tn
% Row 19
\SetRowColor{LightBackground}
 & R`DS`= 1/(B(V`GS` - V`T`)) \tn 
% Row Count 2 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{5.377cm}}{e és epsilon \newline B és beta}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{x{1.64241 cm} x{3.33459 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Ondas}}  \tn
% Row 0
\SetRowColor{LightBackground}
THz,GHz,MHz,kHz & 12,9,6,3 \tn 
% Row Count 2 (+ 2)
% Row 1
\SetRowColor{white}
Longitud de onda & L = c/f \tn 
% Row Count 4 (+ 2)
% Row 2
\SetRowColor{LightBackground}
Velocidad & v = w/k = L/T \tn 
% Row Count 5 (+ 1)
% Row 3
\SetRowColor{white}
Nombre d'ona & k = 2*pi / L \tn 
% Row Count 6 (+ 1)
% Row 4
\SetRowColor{LightBackground}
Vel. Trans. Max & A*w \tn 
% Row Count 8 (+ 2)
% Row 5
\SetRowColor{white}
Vel. Ona & L*f = L/T \tn 
% Row Count 9 (+ 1)
% Row 6
\SetRowColor{LightBackground}
Young & ddx = L*D/(sqrt(d\textasciicircum{}2\textasciicircum{}-L\textasciicircum{}2\textasciicircum{}) \tn 
% Row Count 11 (+ 2)
% Row 7
\SetRowColor{white}
Reflexió & i = r \tn 
% Row Count 12 (+ 1)
% Row 8
\SetRowColor{LightBackground}
Refraccio & sin i/ sin t = v1/v2 \tn 
% Row Count 13 (+ 1)
% Row 9
\SetRowColor{white}
index refracció & n = c/v \tn 
% Row Count 15 (+ 2)
% Row 10
\SetRowColor{LightBackground}
Potencia & P = N(fotons/s) * E(fotó) = N*f*h \tn 
% Row Count 17 (+ 2)
% Row 11
\SetRowColor{white}
Potencia & P = I*S \tn 
% Row Count 18 (+ 1)
% Row 12
\SetRowColor{LightBackground}
Energia fotó & E = h*c/L = h*f \tn 
% Row Count 19 (+ 1)
% Row 13
\SetRowColor{white}
Densitat energia & nu = I/C = P/(S*C) \tn 
% Row Count 21 (+ 2)
% Row 14
\SetRowColor{LightBackground}
Ona electro. equiv & B(x,t) = (1/C)*(E x u) \tn 
% Row Count 23 (+ 2)
% Row 15
\SetRowColor{white}
Energia ona & E(x,t) = (B x u)*c \tn 
% Row Count 24 (+ 1)
% Row 16
\SetRowColor{LightBackground}
CD-ROM & d = c/(4*np*f) \tn 
% Row Count 25 (+ 1)
% Row 17
\SetRowColor{white}
Num. fotons & n = P/(h*f) \tn 
% Row Count 26 (+ 1)
% Row 18
\SetRowColor{LightBackground}
Constants & ñ = 8,85 * 10\textasciicircum{}12\textasciicircum{} \tn 
% Row Count 27 (+ 1)
% Row 19
\SetRowColor{white}
 & h = 6,625 * 10\textasciicircum{}-34\textasciicircum{} {[}J/s{]} \tn 
% Row Count 28 (+ 1)
% Row 20
\SetRowColor{LightBackground}
 & nu = 4*pi*10\textasciicircum{}-7\textasciicircum{} {[}(T*m)/A{]} \tn 
% Row Count 30 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{5.377cm}}{L es lambda \newline ñ es epsilon subzero \newline nu es la u russa}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{x{1.89126 cm} x{3.08574 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Corrent Alterna}}  \tn
% Row 0
\SetRowColor{LightBackground}
Llei d'Ohm & I = V/Z (con fasores,amplitud...) \tn 
% Row Count 2 (+ 2)
% Row 1
\SetRowColor{white}
Freq. angular & w = 2*pi*f \tn 
% Row Count 3 (+ 1)
% Row 2
\SetRowColor{LightBackground}
Freqüència & f = 1/T \tn 
% Row Count 4 (+ 1)
% Row 3
\SetRowColor{white}
Imp. complexa & Z = R+jX \tn 
% Row Count 5 (+ 1)
% Row 4
\SetRowColor{LightBackground}
Reactina total & X = X`L`- X`C` \tn 
% Row Count 6 (+ 1)
% Row 5
\SetRowColor{white}
 & X`L`= L*w \tn 
% Row Count 7 (+ 1)
% Row 6
\SetRowColor{LightBackground}
 & X`C`= 1/(C*w) \tn 
% Row Count 8 (+ 1)
% Row 7
\SetRowColor{white}
Potencia mitjana & V`ef`* I`ef`*cos(desfase) \tn 
% Row Count 10 (+ 2)
% Row 8
\SetRowColor{LightBackground}
Relacions eficaços & V`ef`= I`ef`*Z \tn 
% Row Count 12 (+ 2)
% Row 9
\SetRowColor{white}
Factor potència & cos (desfase) \tn 
% Row Count 14 (+ 2)
% Row 10
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{5.377cm}}{Condensador descarrega} \tn 
% Row Count 15 (+ 1)
% Row 11
\SetRowColor{white}
constant temps & @ = R*C \tn 
% Row Count 16 (+ 1)
% Row 12
\SetRowColor{LightBackground}
Carrega instantània & q(t) = Q`o`*e\textasciicircum{}-t/@\textasciicircum{} \tn 
% Row Count 18 (+ 2)
% Row 13
\SetRowColor{white}
Intensitat Instantània & I(t) = I`o`*e\textasciicircum{}-t/@\textasciicircum{} \tn 
% Row Count 20 (+ 2)
% Row 14
\SetRowColor{LightBackground}
Carrega cond. regim est. & Q`f` = C*e \tn 
% Row Count 22 (+ 2)
% Row 15
\SetRowColor{white}
\mymulticolumn{2}{x{5.377cm}}{Condensador carga} \tn 
% Row Count 23 (+ 1)
% Row 16
\SetRowColor{LightBackground}
Amplitud I & I`o`= e/R = V`0`/R \tn 
% Row Count 24 (+ 1)
% Row 17
\SetRowColor{white}
Carrega instantània & q(t) = Q`f`*(1-e\textasciicircum{}-t/@\textasciicircum{}) \tn 
% Row Count 26 (+ 2)
% Row 18
\SetRowColor{LightBackground}
Intensitat Instantània & I(t) = I`o`*e\textasciicircum{}-t/@\textasciicircum{} \tn 
% Row Count 28 (+ 2)
% Row 19
\SetRowColor{white}
Energia emmagatzemada & U = 1/2 * Q\textasciicircum{}2\textasciicircum{}/C \tn 
% Row Count 30 (+ 2)
\end{tabularx}
\par\addvspace{1.3em}

\vfill
\columnbreak
\begin{tabularx}{5.377cm}{x{1.89126 cm} x{3.08574 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Corrent Alterna (cont)}}  \tn
% Row 20
\SetRowColor{LightBackground}
Circuitos LR & X`L` angulo +90º \tn 
% Row Count 1 (+ 1)
% Row 21
\SetRowColor{white}
constant temps & @ = L/R \tn 
% Row Count 2 (+ 1)
% Row 22
\SetRowColor{LightBackground}
Intensitat Instantània & I(t) = I`f`*e\textasciicircum{}-t/@\textasciicircum{} \tn 
% Row Count 4 (+ 2)
% Row 23
\SetRowColor{white}
Amplitud I & I`f`= (e`0`/R) \tn 
% Row Count 5 (+ 1)
% Row 24
\SetRowColor{LightBackground}
Potencia aparent & S = V`ef`*I`ef` \tn 
% Row Count 7 (+ 2)
% Row 25
\SetRowColor{white}
Potencia activa o real & P = \seqsplit{V`ef`*I`ef`*cos(desfase)} {[}VA o W{]} \tn 
% Row Count 9 (+ 2)
% Row 26
\SetRowColor{LightBackground}
Potencia reactiva & Q = sqrt(S\textasciicircum{}2\textasciicircum{}-P\textasciicircum{}2\textasciicircum{}) \tn 
% Row Count 11 (+ 2)
% Row 27
\SetRowColor{white}
 & Q = V`ef`* I`ef`*sin(des) {[}VAR{]} \tn 
% Row Count 13 (+ 2)
% Row 28
\SetRowColor{LightBackground}
Reactina equivalent & X' =(X\textasciicircum{}2\textasciicircum{}+R\textasciicircum{}2\textasciicircum{})/X = -Z\textasciicircum{}2\textasciicircum{}/X \tn 
% Row Count 15 (+ 2)
% Row 29
\SetRowColor{white}
Freq. ress & w`o`*L = 1/(w`o`*C) \tn 
% Row Count 16 (+ 1)
% Row 30
\SetRowColor{LightBackground}
 & f`o`= 1/2*pi * 1/sqrt(LC) \tn 
% Row Count 18 (+ 2)
% Row 31
\SetRowColor{white}
Velocitat transmissió & v = 1/2@ \tn 
% Row Count 20 (+ 2)
% Row 32
\SetRowColor{LightBackground}
Durada pols & @ \tn 
% Row Count 21 (+ 1)
% Row 33
\SetRowColor{white}
Amplada banda & f`b`= 1/@ \tn 
% Row Count 22 (+ 1)
% Row 34
\SetRowColor{LightBackground}
Eficaç (tensió) & V`ef`= V`o`/sqrt(2) \tn 
% Row Count 24 (+ 2)
% Row 35
\SetRowColor{white}
Potencia resistenca & P = I\textasciicircum{}2\textasciicircum{}*R = V\textasciicircum{}2\textasciicircum{}/R \tn 
% Row Count 26 (+ 2)
% Row 36
\SetRowColor{LightBackground}
Potencia bateria subm & P`s` = e*I - r*I\textasciicircum{}2\textasciicircum{} \tn 
% Row Count 28 (+ 2)
% Row 37
\SetRowColor{white}
Potencia bateria abs & P`a`= e*I + r*I\textasciicircum{}2\textasciicircum{} \tn 
% Row Count 30 (+ 2)
\end{tabularx}
\par\addvspace{1.3em}

\vfill
\columnbreak
\begin{tabularx}{5.377cm}{x{1.89126 cm} x{3.08574 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Corrent Alterna (cont)}}  \tn
% Row 38
\SetRowColor{LightBackground}
Energia total diss & U = V*Q \tn 
% Row Count 2 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{5.377cm}}{@ es constant de temps \newline e es epsilon}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}


% That's all folks
\end{multicols*}

\end{document}