[Tex/LaTex] Draw the proper angle arc

arctikz-pgf

I am trying to draw an arc to indicate angle between y axis and r line, but I don't seem to achive it. My code is

\documentclass[11pt,a4paper]{book}
\usepackage{kerkis}
%\usepackage{kmath}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{amsfonts}
\usepackage{amsthm}
\usepackage{color}
%\usepackage[usenames,dvipsnames]{color}
\definecolor{Darkgreen}{rgb}{0,0.4,0}
\definecolor{Darkblue}{rgb}{0,0,0.4}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}
\draw[gray,->] (-5,0) -- (5,0);
\draw[gray,->] (0,-5) -- (0,5);
\draw[gray,dashed] (-5,4) -- (5,4);
\node at (5,0.2) {$x$};
\node at (-0.2,5) {$y$};

\fill (0,0) circle (2pt) node[below] (e) {$m,e$};
\fill (-3,4) circle (2pt) node[above] (ion) {$ze$};

\draw[red] (0,0) -- (-3,4);
\draw[gray,->] (4,1.75) -- (4,0);
\draw[gray,->] (4,2.25) -- (4,4);
\node at (4,2) {$b$};
\draw[blue,->] (-3,4) -- (-1.5,4);
\node[blue] at (-1.8,4.2) {$V$};
\node[red] at (-2.7,3) {$r$};

\draw[Darkgreen,->] (0,0) -- (-1.5,2);
\draw[Darkgreen,->] (0,0) -- (0,2);
\draw[Darkgreen,->] (0,0) -- (-1.5,0);
\draw[Darkgreen,very thin,dashed] (0,2) -- (-1.5,2);
\draw[Darkgreen,very thin,dashed] (-1.5,0) -- (-1.5,2);

\node[Darkgreen] at (0.3,2) {$F_y$};
\node[Darkgreen] at (-1.5,-0.3) {$F_x$};
\node[Darkgreen,left] at (-1.7,2) {$F=\dfrac{kze^2}{r^2}$};
%\draw[Darkgreen] (0.5,0.5) arc (80:123:0.8cm);
\draw[Darkgreen] (1cm,0cm) arc (90:125:1cm);

\end{tikzpicture}
\end{document}

My output is

Any ideas on that?

Best Answer

First, you don't have to load color as tikz already loads xcolor. You have to put the things in this order though:

\usepackage{tikz}
\definecolor{Darkgreen}{rgb}{0,0.4,0}
\definecolor{Darkblue}{rgb}{0,0,0.4}

Having said that, why to manually calculate the angles? Use clip. First draw a triangle (well almost a triangle)

\path[clip] (0,2) -- (0,0) -- (-3,4);

and then a circle:

\node[circle,draw=Darkgreen,minimum size=40pt] at (0,0) (circ) {};

Code:

\documentclass[11pt,a4paper]{book}
\usepackage{kerkis}
%\usepackage{kmath}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{amsfonts}
\usepackage{amsthm}
%\usepackage{color}
%\usepackage[usenames,dvipsnames]{color}
\usepackage{tikz}
\definecolor{Darkgreen}{rgb}{0,0.4,0}
\definecolor{Darkblue}{rgb}{0,0,0.4}

\begin{document}
\begin{tikzpicture}
\draw[gray,->] (-5,0) -- (5,0);
\draw[gray,->] (0,-5) -- (0,5);
\draw[gray,dashed] (-5,4) -- (5,4);
\node at (5,0.2) {$x$};
\node at (-0.2,5) {$y$};

\fill (0,0) circle (2pt) node[below] (e) {$m,e$};
\fill (-3,4) circle (2pt) node[above] (ion) {$ze$};

\draw[red] (0,0) -- (-3,4);
\draw[gray,->] (4,1.75) -- (4,0);
\draw[gray,->] (4,2.25) -- (4,4);
\node at (4,2) {$b$};
\draw[blue,->] (-3,4) -- (-1.5,4);
\node[blue] at (-1.8,4.2) {$V$};
\node[red] at (-2.7,3) {$r$};

\draw[Darkgreen,->] (0,0) -- (-1.5,2);
\draw[Darkgreen,->] (0,0) -- (0,2);
\draw[Darkgreen,->] (0,0) -- (-1.5,0);
\draw[Darkgreen,very thin,dashed] (0,2) -- (-1.5,2);
\draw[Darkgreen,very thin,dashed] (-1.5,0) -- (-1.5,2);

\node[color=Darkgreen] at (0.3,2) {$F_y$};
\node[Darkgreen] at (-1.5,-0.3) {$F_x$};
\node[Darkgreen,left] at (-1.7,2) {$F=\dfrac{kze^2}{r^2}$};
%% First clip 
\path[clip] (0,2) -- (0,0) -- (-3,4) -- cycle;
%%The circle 
\node[circle,draw=Darkgreen,minimum size=40pt] at (0,0) (circ) {};
%
%\draw[Darkgreen] (0.5,0.5) arc (80:123:0.8cm);
\draw[Darkgreen] (1cm,0cm) arc (90:125:1cm);

\end{tikzpicture}
\end{document}

enter image description here

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