verbatimtex \documentclass[11pt]{article} \usepackage{palatino,mathpazo,amsmath,amssymb} \usepackage[squaren]{SIunits} \usepackage[latin1]{inputenc} \usepackage[portuges]{babel} \newcommand{\veri}{\ensuremath{\hat{\text{i}}}} \newcommand{\verj}{\ensuremath{\hat{\text{j}}}} \newcommand{\verk}{\ensuremath{\hat{\text{k}}}} \newcommand{\emf}{\ensuremath{\mathcal{E}}} \newcommand{\startprob}[1]{\vspace{3mm}\noindent\framebox{#1}} \begin{document} etex numeric un; un = 1mm; picture bigotimesp, bigodotp, efieldp, bfieldp, eforcep, bforcep, velocp, ip; bigotimesp = btex $\bigotimes $ etex; bigodotp = btex $\bigodot $ etex; efieldp = btex $\vec{E} $ etex; bfieldp = btex $\vec{B} $ etex; eforcep = btex $\vec{F}_E $ etex; bforcep = btex $\vec{F}_B $ etex; velocp = btex $\vec{v} $ etex; ip = btex $I$ etex; picture amperp, voltip, maiscarga, menoscarg; amperp = btex A etex; voltip = btex V etex; maiscarga = btex $+$ etex; menoscarg = btex \rule{0pt}{9pt}$-$ etex; drawoptions( withpen pencircle scaled 0.47un ); ahlength := 2un; ahangle := 25; labeloffset := 2un; bboxmargin := 0un; def drawcircledstring( expr Pos )( text TheString ) = begingroup picture strpic; path cirpath; pair llp, urp; numeric diametr; strpic = thelabel( TheString, origin ); llp = llcorner strpic; urp = urcorner strpic; diametr = abs( urp - llp ); cirpath = fullcircle scaled diametr shifted Pos; unfill cirpath; draw strpic shifted Pos; draw cirpath endgroup enddef; beginfig(1); numeric elen, forcelen, vlen, marginlen; elen = 30un; forcelen = 15un; vlen = 30un; marginlen = 10un; z1 = (-marginlen,forcelen); z2 = (-marginlen,-forcelen); z3 = (0,forcelen); z4 = (0,-forcelen); z5 = (vlen,0); drawarrow z1--z2; drawarrow origin--z3; drawarrow origin--z4; drawarrow origin--z5; label( bigotimesp, origin ); label.ulft( efieldp, z2 ); label.lft( bfieldp, origin ); label.rt( eforcep, z3 ); label.rt( bforcep, z4 ); label.top( velocp, z5 ); endfig; beginfig(2); numeric dlen, altur, vlen, forcelen, marginlen; marginlen = 7un; dlen = 25un; forcelen = 27.5un; altur = 40un; vlen = 15un; z1 = -0.5*(dlen,altur); z2 = 0.5*(dlen,-altur); z5 = 0.5*(-dlen,altur); z6 = 0.5*(dlen,altur); z3 = z1 - (0,marginlen); z4 = z2 - (0,marginlen); z7 = 0.5[z5,z6]; z9 = (0,vlen); z8 = z7 + z9; z10= (forcelen,0); z11= (0.5*dlen+marginlen,marginlen); z12= 0.5[z3,z4]; draw z1--z2--z6--z5--cycle; drawdblarrow z3--z4; drawarrow origin--z9; drawarrow origin--z10; drawarrow z7--z8; drawcircledstring( origin, menoscarg ); label( bigotimesp, z11 ); label.lft( velocp, z8 ); label.lft( velocp, z9 ); label.bot( bforcep, z10 ); label.lft( bfieldp, z11 ); label.top( btex $d$ etex, z12 ); endfig; beginfig(3); numeric dlen, altur, vlen, forcelen, marginlen; numeric marginchar, marginvolt, marginfield, marginforce; numeric ycoo, xcoo, llim, hlim; marginchar = 3un; marginvolt = 10un; marginfield = 5un; marginforce = 6un; marginlen = 7un; dlen = 25un; forcelen = 27.5un; altur = 40un; vlen = 15un; z1 = -0.5*(dlen,altur); z2 = 0.5*(dlen,-altur); z5 = 0.5*(-dlen,altur); z6 = 0.5*(dlen,altur); z3 = z1 - (0,marginlen); z4 = z2 - (0,marginlen); z12= 0.5[z3,z4]; z7 = 0.5[z5,z6]; z9 = (0,vlen); z8 = z7 + z9; z10= (marginforce-0.5*dlen,0); z11= -z10; z13= (-0.5*dlen+marginfield,0.25*altur); z15= (-0.5*dlen+marginforce,-0.25*altur); z14= (0.5*dlen-marginfield,0.25*altur); z16= (0.5*dlen-marginforce,-0.25*altur); z17= (-0.5*dlen-marginvolt,0); z18= -z17; z19= (-0.5*dlen-marginvolt,-0.5*altur-marginlen-marginvolt); z20= (0.5*dlen+marginvolt,-0.5*altur-marginlen-marginvolt); z21= 0.5[z19,z20]; z22= (-0.5*dlen,0); z23= -z22; draw z1--z2--z6--z5--cycle; draw z22--z17--z19--z20--z18--z23; drawdblarrow z3--z4; drawarrow z11--z10; drawarrow z13--z14; drawarrow z15--z16; drawarrow z7--z8; drawcircledstring( z21, btex \rule[-1mm]{0pt}{12pt}V etex ); label.lft( velocp, z8 ); label.llft( bforcep, z16 ); label.llft( efieldp, z14 ); label.lrt( eforcep, z10 ); label.top( btex $d$ etex, z12 ); xcoo = 0.5*dlen-marginchar; llim = -0.5*altur+marginchar; hlim = 0.5*altur-marginchar; for ycoo=llim step marginchar until hlim: label( maiscarga, (-xcoo,ycoo) ); label( menoscarg, (xcoo,ycoo) ); endfor; endfig; beginfig(4); numeric alen, blen, marginfield, margincurrent, ilen; blen = 40un; alen = 5*blen/12; ilen = 8un; marginfield = 5un; margincurrent = 1.6un; z17 = unitvector( (alen,blen) ); z18 = (blen-2*marginfield,0); z1 = origin; z2 = (blen,0); z3 = (0,alen); z4 = 0.25[z1,z2]; z5 = 0.45[z2,z3]; z6 = 0.35[z3,z1]; z7 = 0.5[z1,z2]+margincurrent*down; z8 = z7+ilen*right; z9 = 0.65[z2,z3]+margincurrent*z17; z10= z9+ilen*unitvector((-blen,alen)); z11= 0.5[z3,z1]+margincurrent*left; z12= z11+ilen*down; z13= marginfield*(1,-1); z14= z13+z18; z15= z3+marginfield*(1,1); z16= z15+z18; draw z1--z2--z3--cycle; drawarrow z7--z8; drawarrow z9--z10; drawarrow z11--z12; drawarrow z13--z14; drawarrow z15--z16; label.llft( bfieldp, z14 ); label.llft( bfieldp, z16 ); label.rt( ip, z8 ); label.ulft( ip, z10 ); label.bot( ip, z12 ); label.top( btex $b$ etex, z4 ); label.bot( btex $c$ etex, z5 ); label.rt( btex $a$ etex, z6 ); endfig; beginfig(5); numeric alen, blen, marginfield, margincurrent, ilen; blen = 40un; alen = 5*blen/12; ilen = 8un; marginfield = 5un; margincurrent = 1.6un; z17 = unitvector( (alen,blen) ); z18 = (blen-2*marginfield,0); z1 = origin; z2 = (blen,0); z3 = (0,alen); z4 = 0.25[z1,z2]; z5 = 0.45[z2,z3]; z6 = 0.35[z3,z1]; z7 = 0.5[z1,z2]+margincurrent*down; z8 = z7+ilen*right; z9 = 0.5[z2,z3]+margincurrent*z17; z10= z9+ilen*unitvector((-blen,alen)); z11= 0.5[z3,z1]+margincurrent*left; z12= z11+ilen*down; z13= 0.65[z3,z1]; z14= z13+z18; z15= z3+marginfield*(1,1); z16= z15+z18; drawarrow z11--z12; drawarrow z13--z14; drawarrow z3--z1; label.llft( bfieldp, z14 ); label.bot( ip, z12 ); label.rt( btex $\vec{a}$ etex, z6 ); label.lrt( bigodotp, z13 ); label.lrt( btex $\vec{F}_a$ etex, 0.13[z13,z14] ); endfig; beginfig(6); numeric alen, blen, marginfield, margincurrent, ilen; blen = 40un; alen = 5*blen/12; ilen = 8un; marginfield = 5un; margincurrent = 1.6un; z17 = unitvector( (alen,blen) ); z18 = (blen-2*marginfield,0); z1 = origin; z2 = (blen,0); z3 = (0,alen); z4 = 0.25[z1,z2]; z5 = 0.45[z2,z3]; z6 = 0.35[z3,z1]; z7 = 0.5[z1,z2]+margincurrent*down; z8 = z7+ilen*right; z9 = 0.5[z2,z3]+margincurrent*z17; z10= z9+ilen*unitvector((-blen,alen)); z11= 0.5[z3,z1]+margincurrent*left; z12= z11+ilen*down; z13= marginfield*(1,-1); z14= z13+z18; z15= z3+marginfield*(1,1); z16= z15+z18; % drawarrow z11--z12; drawarrow z13--z14; drawarrow z1--z2; label.llft( bfieldp, z14 ); % label.bot( ip, z12 ); label.top( btex $\vec{b}$ etex, z4 ); % label.lrt( bigodotp, z13 ); % label.lrt( btex $\vec{F}_a$ etex, 0.13[z13,z14] ); endfig; beginfig(7); numeric alen, blen, marginfield, margincurrent, ilen, ralpha, rphi; path pc, pb, palpha, pphi; ralpha = 6un; rphi = 4un; blen = 40un; alen = 5*blen/12; ilen = 8un; marginfield = 5un; margincurrent = 1.6un; z17 = unitvector( (alen,blen) ); z18 = (blen-2*marginfield,0); z1 = origin; z2 = (blen,0); z3 = (0,alen); z4 = 0.25[z1,z2]; z5 = 0.45[z2,z3]; z6 = 0.35[z3,z1]; z7 = 0.5[z1,z2]+margincurrent*down; z8 = z7+ilen*right; z9 = 0.65[z2,z3]+margincurrent*z17; z10= z9+ilen*unitvector((-blen,alen)); z11= 0.5[z3,z1]+margincurrent*left; z12= z11+ilen*down; z14= z2+ilen*up; z13= z14-z18; pb = z13--z14; pc = z2--z3; z19 = pb intersectionpoint pc; pphi = halfcircle scaled 2rphi shifted z19 cutafter pc; palpha = halfcircle scaled 2ralpha shifted z19 cutbefore pc; z20 = pphi intersectionpoint (z19--(z19+1.1*rphi*dir(0.5*angle((-blen,alen))))); z21 = palpha intersectionpoint (z19--(z19+1.1*ralpha*dir(180-0.5*angle((blen,alen))))); label.lft( btex $\alpha$ etex, z21 ); label.top( btex $\phi$ etex, z20 ); draw pphi; draw palpha; drawarrow pc; drawarrow z9--z10; drawarrow pb; label.llft( bfieldp, z14 ); label.ulft( ip, z10 ); label.bot( btex $\vec{c}$ etex, z5 ); endfig; beginfig(8); numeric raya, rayb, angs, angf, angr; path pc, pd, ps, pf, pr, pI; raya = 9un; rayb = 11un; angs = 15; angf = 64; angr = 240; pc = fullcircle scaled 2raya; pd = fullcircle scaled 2rayb; ps = origin--1.1*rayb*dir(angs); pf = origin--1.1*rayb*dir(angf); pr = origin--raya*dir(angr); pI = pd cutbefore ps cutafter pf; draw pc; draw pr; drawarrow pI; label.top( btex $R$ etex, 0.5*raya*dir(angr) ); label.rt( btex $A$ etex, origin ); label.top( btex $I$ etex, point 0.5 of pI ); endfig; beginfig(9); numeric raya, rayb, ang, lenf, lenb, lenm; path pc, pm; raya = 11un; rayb = 0.5raya; ang = 41; lenm = 1.35raya; lenf = 1.25lenm; lenb = 0.4lenm; z1 = (lenf,0); z2 = lenm*dir(ang); pm = origin--z2; z3 = raya*dir(ang+90); z4 = (-lenb,0); z5 = raya*dir(ang+270); z6 = rayb*dir(0.5*ang); pc = halfcircle scaled 2rayb cutafter pm; drawarrow z4--z1; drawarrow pm; draw z3--z5; draw pc; label.rt( btex $41\degree$ etex, z6 ); label.rt( btex $\vec{\mu}$ etex, z2 ); label.llft( bfieldp, z1 ); label( bigotimesp, origin ); label.llft( btex $\vec{\tau}$ etex, origin ); endfig; verbatimtex \end{document} etex end.