Wie rechne ich.. die Elektronenablenkung in einer Braun'schen Röhre?
Gegeben:
clear
all
;
x = 0.01;
%1cm
v_x = 9e6;
%m/s
E_y = 1000;
%N/C;
q = 1.602e-19;
%C
m_e = 9.11e-31;
%kg
g = 9.81;
%m/s
d = 0.2;
%20cm
Zeit
t = x ./ v_x
t = 1.1111e-09
Spielt die Gravitationskraft eine Rolle?
F_el = q * E_y;
F_G = m_e * g;
verhaeltnis = F_el / F_G
verhaeltnis = 1.7926e+13
Ablenkung
%F == F_el
a = q*E_y / m_e
a = 1.7585e+14
y_1 = 0.5*a*t^2
y_1 = 1.0855e-04
v_y = a * t
v_y = 1.9539e+05
alpha = atand(v_y / v_x)
alpha = 1.2437
Schirm
y_2 = d*tand(alpha)
y_2 = 0.0043
y = y_1 + y_2
y = 0.0045