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INHOMBFE.PAS
executable file
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INHOMBFE.PAS
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program elektronenimInhomBfeld;
uses crt,graph;
var
treiber,modus:integer;
dt,t,B,Bx,vges,vges2,vx,vx2,vy2,vz2,ax2,ay2,az2,x2,y2,z2,vy,vz,ax,ay,az,x,y,z:real;
Bstart,vxstart,vx2start,vy2start,vz2start,x2start,y2start,z2start,vystart,vzstart,xstart,ystart,zstart:real;
wahl:char;
ortx,orty,ortz,geschwx,geschwy,geschwz,ortx2,orty2,ortz2:string;
geschw1,geschw2,geschwx2,geschwy2,geschwz2:string;
procedure grafik;
begin
treiber:=detect;
initgraph(treiber,modus,'');
setbkcolor(1);
setcolor(15);
line(50,240,600,240);
line(50,240,50,180);
outtextxy(40,185,'y');
line(20,270,70,220);
outtextxy(15,255,'z');
line(10,30,630,30);
line(10,450,630,450);
line(10,30,10,450);
line(630,30,630,450);
outtextxy(170,15,'Elektronen im inhomogenen Magnetfeld');
outtextxy(135,460,'Bewegung starten (s) Pause (p) Beenden (b)');
outtextxy(70,470,'Geschwindigkeit der Darstellung verdoppeln (d) halbieren (h)');
outtextxy(35,50,' x =');
outtextxy(35,60,' y =');
outtextxy(35,70,' z =');
outtextxy(35,80,'vx =');
outtextxy(35,90,'vy =');
outtextxy(35,100,'vz =');
outtextxy(35,110,' v =');
outtextxy(610,240,'x');
delay(20000);
end;
procedure farbe;
var
m,n:integer;
begin
textbackground(1);
for m:=1 to 80 do
begin
for n:=1 to 25 do
begin
gotoxy(m,n);write(' ');
end;
end;
end;
procedure rechnung;
begin
t:=0;
dt:=0.001;
wahl:=' ';
repeat
ax:=(vy*z-vz*y)*B/(x*x+y*y+z*z)/sqrt(x*x+y*y+z*z); ax2:=(vy2*z2-vz2*y2)*B/(x2*x2+y2*y2+z2*z2)/sqrt(x2*x2+y2*y2+z2*z2);
ay:=(vz*x-vx*z)*B/(x*x+y*y+z*z)/sqrt(x*x+y*y+z*z); ay2:=(vz2*x2-vx2*z2)*B/(x2*x2+y2*y2+z2*z2)/sqrt(x2*x2+y2*y2+z2*z2);
az:=(vx*y-vy*x)*B/(x*x+y*y+z*z)/sqrt(x*x+y*y+z*z); az2:=(vx2*y2-vy2*x2)*B/(x2*x2+y2*y2+z2*z2)/sqrt(x2*x2+y2*y2+z2*z2);
vx:=vx+ax*dt; vx2:=vx2+ax2*dt;
vy:=vy+ay*dt; vy2:=vy2+ay2*dt;
vz:=vz+az*dt; vz2:=vz2+az2*dt;
x:=x+vx*dt; x2:=x2+vx2*dt;
y:=y+vy*dt; y2:=y2+vy2*dt;
z:=z+vz*dt; z2:=z2+vz2*dt;
t:=t+dt;
vges:=sqrt(vx*vx+vy*vy+vz*vz);
vges2:=sqrt(vx2*vx2+vy2*vy2+vz2*vz2);
setcolor(0);
outtextxy(70,50,ortx); outtextxy(120,50,ortx2);
outtextxy(70,60,orty); outtextxy(120,60,orty2);
outtextxy(70,70,ortz); outtextxy(120,70,ortz2);
outtextxy(70,80,geschwx); outtextxy(120,80,geschwx2);
outtextxy(70,90,geschwy); outtextxy(120,90,geschwy2);
outtextxy(70,100,geschwz); outtextxy(120,100,geschwz2);
outtextxy(70,110,geschw1); outtextxy(120,110,geschw2);
setcolor(15);
str(x:5:2,ortx); str(x2:5:2,ortx2);
outtextxy(70,50,ortx); outtextxy(120,50,ortx2);
str(y:5:2,orty); str(y2:5:2,orty2);
outtextxy(70,60,orty); outtextxy(120,60,orty2);
str(z:5:2,ortz); str(z2:5:2,ortz2);
outtextxy(70,70,ortz); outtextxy(120,70,ortz2);
str(vx:5:2,geschwx); str(vx2:5:2,geschwx2);
outtextxy(70,80,geschwx); outtextxy(120,80,geschwx2);
str(vy:5:2,geschwy); str(vy2:5:2,geschwy2);
outtextxy(70,90,geschwy); outtextxy(120,90,geschwy2);
str(vz:5:2,geschwz); str(vz2:5:2,geschwz2);
outtextxy(70,100,geschwz); outtextxy(120,100,geschwz2);
str(vges:5:2,geschw1); str(vges2:5:2,geschw2);
outtextxy(70,110,geschw1); outtextxy(120,110,geschw2);
{ setcolor(14);setfillstyle(1,14);
outtextxy(50+round(50*x-0.7*70*z),240-round(70*y-0.7*70*z),'`'); }
putpixel(50+round(50*x-0.7*70*z),240-round(70*y-0.7*70*z),14);
{ setcolor(13);setfillstyle(1,13);
outtextxy(50+round(50*x2-0.7*70*z2),240-round(70*y2-0.7*70*z2),'`'); }
putpixel(50+round(50*x2-0.7*70*z2),240-round(70*y2-0.7*70*z2),13);
if keypressed then wahl:=readkey;
case wahl of
'h':
begin
dt:=dt/2;
wahl:=' ';
end;
'd':
begin
dt:=dt*2;
wahl:=' ';
end;
'p':wahl:=readkey;
'b':exit;
end;
until t>=500;
wahl:=readkey;
case wahl of 'b':exit;
end;
end;
{MAIN}
begin
vxstart:=-0.5; vx2start:=-0.5;
vystart:=0; vy2start:=0;
vzstart:=0; vz2start:=-0.08;
Bstart:=12;
xstart:=10; x2start:=10;
ystart:=2.1; y2start:=2.1;
zstart:=0.7; z2start:=0.7;
repeat
closegraph;
farbe;
textcolor(14);
gotoxy(20,2);write('Elektronen im inhomogenen Magnetfeld');
gotoxy(4,4);writeln('Diese Simulation zeigt die Rckstreuung von geladenen Teilchen, wie');
gotoxy(4,5);writeln('es auch im Erdfeld in der N„he der Pole geschieht');
gotoxy(2,7);writeln('Bsp.: vx=-0.5 (a) vy=0 (b) vz=0 (c) x=10 (d) y=2.1 (e) z=0.7 (f)');
gotoxy(2,8);writeln(' vx2=-0.5 (A) vy2=0 (B) vz2=-0.08 (C) x2=10 (D) y2=2.1 (E) z2=0.7 (F)');
gotoxy(2,9);writeln(' B=12 (g)');
gotoxy(4,11);writeln('Sollen einzelne der gegebenen Werte ge„ndert werden, so den entsprechenden');
gotoxy(4,12);writeln('Buchstaben w„hlen');
gotoxy(4,13);writeln('Das obige Beispiel ist unter (0) abgespeichert, weitere unter (1) und (2)');
gotoxy(4,14);writeln('Bei "Wiederholung" gelten die Werte der vorhergehenden Runde als Startwerte');
gotoxy(8,15);write('Um alle vorgeschlagenen Daten zu „ndern: („) ');
readln(wahl);
case wahl of
'0':
begin
vxstart:=-0.5; vx2start:=-0.5;
vystart:=0; vy2start:=0;
vzstart:=0; vz2start:=-0.08;
Bstart:=12;
xstart:=10; x2start:=10;
ystart:=2.1; y2start:=2.1;
zstart:=0.7; z2start:=0.7;
wahl:=' ';
end;
'1':
begin
vxstart:=-0.5; vx2start:=-0.5;
vystart:=-0.08; vy2start:=0;
vzstart:=0; vz2start:=-0.08;
Bstart:=12;
xstart:=10; x2start:=10;
ystart:=2.1; y2start:=2.1;
zstart:=0.7; z2start:=0.7;
wahl:=' ';
end;
'2':
begin
vxstart:=-0.5; vx2start:=-0.5;
vystart:=0.05; vy2start:=0;
vzstart:=0; vz2start:=-0.08;
Bstart:=12;
xstart:=10; x2start:=10;
ystart:=2.1; y2start:=2.1;
zstart:=0.7; z2start:=0.7;
wahl:=' ';
end;
'3':
begin
vxstart:=-2.5; vx2start:=-2.5;
vystart:=1; vy2start:=0;
vzstart:=0; vz2start:=-1;
Bstart:=14;
xstart:=3; x2start:=3;
ystart:=0; y2start:=0;
zstart:=0; z2start:=0;
wahl:=' ';
end;
'4':
begin
vxstart:=0; vx2start:=0;
vystart:=1; vy2start:=1;
vzstart:=0; vz2start:=-0.8;
Bstart:=18;
xstart:=1; x2start:=1;
ystart:=0; y2start:=0;
zstart:=0; z2start:=0;
wahl:=' ';
end;
'g':
begin
gotoxy(10,16);write('B= ');
read(Bstart);
wahl:=' ';
end;
'a':
begin
gotoxy(10,17);write('vx = ');
read(vxstart);
wahl:=' ';
end;
'b':
begin
gotoxy(30,17);write('vy = ');
read(vystart);
wahl:=' ';
end;
'c':
begin
gotoxy(50,17);write('vz = ');
read(vzstart);
wahl:=' ';
end;
'd':
begin
gotoxy(11,18);write('x = ');
read(xstart);
wahl:=' ';
end;
'e':
begin
gotoxy(31,18);write('y = ');
read(ystart);
wahl:=' ';
end;
'f':
begin
gotoxy(51,18);write('z = ');
read(zstart);
wahl:=' ';
end;
'A':
begin
gotoxy(9,20);write('vx2 = ');
read(vx2start);
wahl:=' ';
end;
'B':
begin
gotoxy(29,20);write('vy2 = ');
read(vy2start);
wahl:=' ';
end;
'C':
begin
gotoxy(49,20);write('vz2 = ');
read(vz2start);
wahl:=' ';
end;
'D':
begin
gotoxy(10,21);write('x2 = ');
read(x2start);
wahl:=' ';
end;
'E':
begin
gotoxy(30,21);write('y2 = ');
read(y2start);
wahl:=' ';
end;
'F':
begin
gotoxy(50,21);write('z2 = ');
read(z2start);
wahl:=' ';
end;
'„':
begin
gotoxy(10,16);write('B= ');
read(Bstart);
gotoxy(10,17);write('vx = ');
read(vxstart);
gotoxy(30,17);write('vy = ');
read(vystart);
gotoxy(50,17);write('vz = ');
read(vzstart);
gotoxy(11,18);write('x = ');
read(xstart);
gotoxy(31,18);write('y = ');
read(ystart);
gotoxy(51,18);write('z = ');
read(zstart);
gotoxy(9,20);write('vx2 = ');
read(vx2start);
gotoxy(29,20);write('vy2 = ');
read(vy2start);
gotoxy(49,20);write('vz2 = ');
read(vz2start);
gotoxy(10,21);write('x2 = ');
read(x2start);
gotoxy(30,21);write('y2 = ');
read(y2start);
gotoxy(50,21);write('z2 = ');
read(z2start);
wahl:=' ';
end;
end;
vx:=vxstart; vx2:=vx2start;
vy:=vystart; vy2:=vy2start;
vz:=vzstart; vz2:=vz2start;
B:=Bstart;
x:=xstart; x2:=x2start;
y:=ystart; y2:=y2start;
z:=zstart; z2:=z2start;
repeat until keypressed;
grafik;
wahl:=' ';
rechnung;
setcolor(14);
outtextxy(130,390,'Zum Wiederholen <w> eingeben, zum Beenden <b>');
repeat until keypressed;
if keypressed then wahl:=readkey;
until wahl='b';
end.