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% Author: Izaak Neutelings (March 2020) \documentclass[border=3pt,tikz]{standalone} \usepackage{amsmath} % for \dfrac \usepackage{mathabx} % for \Earth \usepackage{bm} % \bm \usepackage{physics} \usepackage{tikz,pgfplots} \usepackage[outline]{contour} % glow around text \usetikzlibrary{angles,quotes} % for pic (angle labels) \usetikzlibrary{calc} \usetikzlibrary{decorations.markings} \tikzset{>=latex} % for LaTeX arrow head \contourlength{1.6pt} \usepackage{xcolor} \colorlet{Ecol}{orange!90!black} \colorlet{EcolFL}{orange!90!black} \colorlet{Bcol}{violet!90} \colorlet{BFcol}{red!60!black} \colorlet{veccol}{green!45!black} \colorlet{Icol}{blue!70!black} \colorlet{pluscol}{red!60!black} \colorlet{minuscol}{blue!60!black} \tikzstyle{BField}=[->,thick,Bcol] \tikzstyle{current}=[->,Icol] %thick, \tikzstyle{force}=[->,thick,BFcol] \tikzstyle{vector}=[->,thick,veccol] \tikzstyle{velocity}=[->,very thick,vcol] \tikzstyle{charge+}=[very thin,draw=black,top color=red!50,bottom color=red!90!black,shading angle=20,circle,inner sep=0.5] \tikzstyle{charge-}=[very thin,draw=black,top color=blue!50,bottom color=blue!80,shading angle=20,circle,inner sep=0.5] \tikzstyle{metal}=[top color=black!15,bottom color=black!25,middle color=black!5,shading angle=10] \tikzset{ EFieldLine/.style={thick,EcolFL,decoration={markings,mark=at position #1 with {\arrow{latex}}}, postaction={decorate}}, EFieldLine/.default=0.5, BFieldLine/.style={thick,Bcol,decoration={markings,mark=at position #1 with {\arrow{latex}}}, postaction={decorate}}, BFieldLine/.default=0.5, pics/Bin/.style={ code={ \def\RB{0.12} \draw[pic actions,#1,line width=0.6] % ,thick (0,0) circle (\RB) (-135:.7*\RB) -- (45:.7*\RB) (-45:.7*\RB) -- (135:.7*\RB); }}, pics/Bout/.style={ code={ \def\RB{0.12} \draw[pic actions,#1,fill=white,line width=0.6] (0,0) circle (\RB); \fill[pic actions,#1] (0,0) circle (0.3*\RB); }}, pics/Bout/.default=Bcol, pics/Bin/.default=Bcol, } \begin{document} % B FIELD horizontal, top view \begin{tikzpicture} \def\xmax{3.5} \def\ymax{1.4} \def\R{0.2} \def\Rx{0.26*\ymax} \def\H{0.8*\ymax} \def\L{\xmax} \def\NBy{4} \def\NBx{4} \coordinate (LT) at (0,\H); \coordinate (LB) at (0,-\H); \coordinate (RT) at (\L,\H); \coordinate (RB) at (\L,-\H); \coordinate (Q) at (0.15*\xmax,0.15*\ymax); \def\charge#1#2{ \node[charge+,draw=black,circle,fill,inner sep=0,scale=0.8] (q) at (#1*\xmax,#2*\H) {$+$}; \draw[vector] (q) --++ (0:0.55); \draw[force] (q) --++ (90:0.6); } % CURRENT \draw (-0.4*\L,0) -- (0,0); \draw (\L,0) -- (1.4*\L,0); \draw[metal] (LB) rectangle (RT); % CHARGE \charge{0.10}{0.0} \charge{0.48}{0.0} \charge{0.82}{0.0} %\charge{0.14}{0.65} %\charge{0.48}{0.65} %\charge{0.82}{0.65} %\charge{0.14}{-.65} %\charge{0.48}{-.65} %\charge{0.82}{-.65} % MAGNETIC FIELD \foreach \i [evaluate={\y=(\i-\NBy/2-0.5)*2*\ymax/(\NBy-1);}] in {1,...,\NBy}{ \foreach \j [evaluate={\x=-0.1*\xmax+(\j-1)*1.2*\xmax/(\NBx-1);}] in {1,...,\NBx}{ \pic at (\x,\y) {Bin}; } } \node[Bcol] at (1.15*\xmax,0.71*\ymax) {$\vb{B}$}; \node[BFcol] at (0.12*\xmax,0.68*\H) {$\vb{F}$}; \node[veccol] at (0.33*\xmax,0.02*\H) {$\vb{v}_\mathrm{d}$}; \draw[->,thick,blue!70!black] ( 1.13*\L,0.1*\H) --++ ( 0.25*\L,0) node[midway,above=-1] {$I$}; \draw[<-,thick,blue!70!black] (-0.12*\L,0.1*\H) --++ (-0.25*\L,0) node[midway,above=-1] {$I$}; \end{tikzpicture} % B FIELD horizontal, top view \begin{tikzpicture} \def\xmax{3.5} \def\ymax{1.4} \def\R{0.2} \def\Rx{0.26*\ymax} \def\H{0.8*\ymax} \def\L{\xmax} \def\NBy{4} \def\NBx{4} \def\NE{4} \def\NQ{6} \coordinate (LT) at (0,\H); \coordinate (LB) at (0,-\H); \coordinate (RT) at (\L,\H); \coordinate (RB) at (\L,-\H); \coordinate (Q) at (0.15*\xmax,0.15*\ymax); \def\charge#1#2{ \node[charge+,draw=black,circle,fill,inner sep=0,scale=0.8] (q) at (#1*\xmax,#2*\H) {$+$}; \draw[vector] (q) --++ (0:0.55); \draw[force] (q) --++ (90:0.6); } % CURRENT \draw (-0.4*\L,0) -- (0,0); \draw (\L,0) -- (1.4*\L,0); \draw[<->] (1.04*\L,-\H) --++ (0,2*\H) node[midway,below=3,fill=white,inner sep=2,scale=0.8] {$w$}; \draw[metal] (LB) rectangle (RT); % ELECTRIC & MAGNETIC FIELD \foreach \i [evaluate={\y=(\i-\NBy/2-0.5)*2*\ymax/(\NBy-1);}] in {1,...,\NBy}{ \foreach \j [evaluate={\x=-0.1*\xmax+(\j-1)*1.2*\xmax/(\NBx-1);}] in {1,...,\NBx}{ \pic at (\x,\y) {Bin}; } } \foreach \i [evaluate={\x=(\i-0.5)*\xmax/\NQ;}] in {1,...,\NQ}{ \node[pluscol,below=-1] at (\x, \H) {$+$}; \node[minuscol,above=-1] at (\x,-\H) {$-$}; } \foreach \i [evaluate={\x=(\i-0.6)*\xmax/(\NE-0.2);}] in {1,...,\NE}{ \draw[EFieldLine=0.60] (\x,0.65*\H) -- (\x,-0.65*\H); } \node[Bcol] at (1.15*\xmax,0.71*\ymax) {$\vb{B}$}; \node[Ecol] at (0.45*\xmax,-0.4*\ymax) {$\vb{E}$}; \draw[->,thick,blue!70!black] ( 1.13*\L,0.1*\H) --++ ( 0.25*\L,0) node[midway,above=-2] {$I$}; \draw[<-,thick,blue!70!black] (-0.12*\L,0.1*\H) --++ (-0.25*\L,0) node[midway,above=-2] {$I$}; \end{tikzpicture} \end{document}
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