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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.
\usepackage{amsmath}            % Symbols
\usepackage{MnSymbol}           % Symbols
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% Document Info
\author{Taneesha (Taneesha)}
\pdfinfo{
  /Title (current-electricity.pdf)
  /Creator (Cheatography)
  /Author (Taneesha (Taneesha))
  /Subject (Current Electricity Cheat Sheet)
}

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% Header and Footer
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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}}
    }
\end{tabulary}
\columnbreak
\begin{tabulary}{11cm}{L}
    \vspace{-2pt}\large{\bf{\textcolor{DarkBackground}{\textrm{Current Electricity Cheat Sheet}}}} \\
    \normalsize{by \textcolor{DarkBackground}{Taneesha (Taneesha)} via \textcolor{DarkBackground}{\uline{cheatography.com/194359/cs/40558/}}}
\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}Taneesha (Taneesha) \\
  \uline{cheatography.com/taneesha} \\
  \end{tabulary}
\vfill
\columnbreak
\begin{tabulary}{5.8cm}{L}
  \SetRowColor{FootBackground}
  \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}}  \\
   \vspace{-2pt}Published 5th November, 2023.\\
   Updated 5th November, 2023.\\
   Page {\thepage} of \pageref{LastPage}.
\end{tabulary}
\vfill
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\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

% Set font size to small. Switch to any value
% 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{2.33919 cm} x{2.63781 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Basic notations}}  \tn
% Row 0
\SetRowColor{LightBackground}
current (I) & q/t \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
q & charge \tn 
% Row Count 2 (+ 1)
% Row 2
\SetRowColor{LightBackground}
V & terminal voltage \tn 
% Row Count 3 (+ 1)
% Row 3
\SetRowColor{white}
resistance (R) & V/I or ρ l/A \tn 
% Row Count 4 (+ 1)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{5.377cm}}{in the formula for resistance, the first formula has current and the second one has length of the resistor}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Effect of stretching of wire on resistance}}  \tn
\SetRowColor{white}
\mymulticolumn{1}{x{5.377cm}}{L -{}- original length of wire \newline % Row Count 1 (+ 1)
A -{}- original cross-sectional area \newline % Row Count 2 (+ 1)
L' -{}- length of wire after stretching \newline % Row Count 3 (+ 1)
A' -{}- cross-sectional area of wire after stretching \newline % Row Count 5 (+ 2)
final resistance, R' = n\textasciicircum{}2\textasciicircum{}R% Row Count 6 (+ 1)
} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Resistors in Series}}  \tn
\SetRowColor{white}
\mymulticolumn{1}{x{5.377cm}}{V = IR(s) ......{[}R(s) is equivalent resistance for resistors in series{]} \newline % Row Count 2 (+ 2)
{\bf{general formula for 'n' resistors in series -{}-}} \newline % Row Count 4 (+ 2)
R(s) = R(1) + R(2) + R(3) + ......... + R(n) \newline % Row Count 5 (+ 1)
∴ R(s) = n R% Row Count 6 (+ 1)
} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{5.377cm}}{n -{}-{}- no. of equal resistors}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Resistors in Parallel}}  \tn
\SetRowColor{white}
\mymulticolumn{1}{x{5.377cm}}{I = V/R(p) .....{[}R(p) is equivalent resistance for resistors in parallel{]} \newline % Row Count 2 (+ 2)
{\bf{general formula for 'n' resistors in parallel -{}-}} \newline % Row Count 4 (+ 2)
1/R(p) = 1/R(1) + 1/R(2) + 1/R(3) + .... + 1/R(n) \newline % Row Count 5 (+ 1)
∴ R(p) = R/n% Row Count 6 (+ 1)
} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Kirchoff's Laws}}  \tn
\SetRowColor{white}
\mymulticolumn{1}{x{5.377cm}}{1\textasciicircum{}st\textasciicircum{} Law :- \newline % Row Count 1 (+ 1)
At any junction of several circuit elements, the sum of currents entering the junction must be equal to sum of currents leaving it. \newline % Row Count 4 (+ 3)
2\textasciicircum{}nd\textasciicircum{} Law:- \newline % Row Count 5 (+ 1)
The algebraic sum of changes in potential around any closed resistor loop must be zero.% Row Count 7 (+ 2)
} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Relation b/w R(s) \& R(p)}}  \tn
\SetRowColor{white}
\mymulticolumn{1}{x{5.377cm}}{R(s)/R(p) = n\textasciicircum{}2\textasciicircum{}% Row Count 1 (+ 1)
} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
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\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Wheatstone Bridge}}  \tn
\SetRowColor{LightBackground}
\mymulticolumn{1}{p{5.377cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/taneesha_1699169324_wheatstone bridge pic.png}}} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{5.377cm}}{Here if, \newline P/R = Q/S or \newline P/Q = R/S, then, \newline we can simply remove G. \newline Now, P \& Q are in series and R \& S are in series, and the combination of the two are in parallel}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}


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

\end{document}