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%% Semi Conductors - Mathnet #8
clear all
close all
clc
%% INSERT THE DATA FROM THE
EXERCISE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
L = 100e-6 * 100; %[cm]
Lh = 1.e-5*100; %[cm]
Nd = 3e+16;
%constatnt:
q = 1.6e-19; % [Cb]
%% Question #1
'______________ Question 1______________'
L = 100e-6*100; % [cm]
Lh = 1.2e-5*100; % [cm]
Le = 2e-6*100; % [cm]
Nd = 3e+16; % [cm^-3]
ni = 2.4e+13; % [cm^-3]
A = 1e-3; % [cm^-2]
tau = 1e-9; % [sec]
T = 300; % [K]
Gop=1e18;
k = 1.38e-23; % [J/K]
%% FROM HERE YOU DONT HAVE TO INSERT
%%A THING!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
%% !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
%% !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
x = [0 2*Lh 4*Lh 8*Lh];
P = -((ni^2)/Nd)*exp(-x/Lh);
P_0 = P(1)
P_2Lh = P(2)
P_4Lh = P(3)
P_8Lh = P(4)
%% Question #2
'______________ Question 2______________'
Idiff = -q*A*(Lh/tau)*((ni^2)/Nd)*exp(-x/Lh);
I_0 = Idiff(1)
I_2Lh = Idiff(2)
I_4Lh = Idiff(3)
I_8Lh = Idiff(4)
%% Question #3
'______________ Question 3______________'
Ie = q*A*(Lh/tau)*((ni^2)/Nd)*(exp(-x/Lh)-1);
I_0 = Ie(1)
I_2Lh = Ie(2)
I_4Lh = Ie(3)
I_8Lh = Ie(4)
%% Question #4
'______________ Question 4______________'
E = (k*T/q)*(Lh/Le^2)*(ni^2/Nd^2)*(exp(-x/Lh)-1);
E_0 = E(1)
E_2Lh = E(2)
E_4Lh = E(3)
E_8Lh = E(4)
%% Question #5
'______________ Question 5______________'
a = (((exp(-x/Lh)-1).^2)./(exp(-x/Lh)))*(Lh^2/Le^2)*(ni^2/Nd^2);
res_0 = a(1)
res_2Lh = a(2)
res_4Lh = a(3)
res_8Lh = a(4)
%% Question #6
'______________ Question 6______________'
'Yes'
%% Question #7
'______________ Question 7______________'
'0=Dh*(d2p/dx2)-(p/Tau)+Gop'
%% Question #8
'______________ Question 8______________'
'p(x=0)=-(ni^2/Nd)*P(x->inf)=Gop*Tau'
%% Question #9
'______________ Question 9______________'
a=-(ni^2/Nd+Gop*tau).*exp(-x/Lh)+Gop*tau;
res_0 = a(1)
res_2Lh = a(2)
res_4Lh = a(3)
res_8Lh = a(4)
%% Question #10
'______________ Question 10______________'
a=-(q*A*Lh/tau)*(ni^2/Nd+Gop*tau).*exp(-x/Lh);
res_0 = a(1)
res_2Lh = a(2)
res_4Lh = a(3)
res_8Lh = a(4)
%% Question #11
'______________ Question 11______________'
Idiode=-(q*A*Lh/tau)*(ni^2/Nd+Gop*tau)
%% Question #12
'______________ Question 12______________'
Vapp = [0.1 0.3 0.5 0.7];
a=(ni^2/Nd).*(exp(q*Vapp/(k*T))-1);
res_1 = a(1)
res_2 = a(2)
res_3 = a(3)
res_4 = a(4)
%% Question #13
'______________ Question 13______________'
a=(q*A*Lh*ni^2/(Nd*tau)).*(exp(q*Vapp/(k*T))-1);
res_1 = a(1)
res_2 = a(2)
res_3 = a(3)
res_4 = a(4)
%% Question #14
'______________ Question 14______________'
'p(x=0)=Pn*exp(q*Vapp/(k*T)) P(x->inf)=Gop*Tau'
%% Question #15
'______________ Question 15______________'
a=(((ni^2)/Nd)*exp(q*Vapp/(k*T))-Gop*tau)*exp(-1/2)+Gop*tau;
res_1 = a(1)
res_2 = a(2)
res_3 = a(3)
res_4 = a(4)
%% Question #16
'______________ Question 16______________'
a=(q*A*Lh/tau).*(((ni^2)/Nd)*exp(q*Vapp/(k*T))-Gop*tau);
res_1 = a(1)
res_2 = a(2)
res_3 = a(3)
res_4 = a(4)
%% Question #17
'______________ Question 17______________'
b=(q*A*Lh*ni^2/(Nd*tau)).*(exp(q*Vapp/(k*T))-1);
res_1 = a(1)/b(1)
res_2 = a(2)/b(2)
res_3 = a(3)/b(3)
res_4 = a(4)/b(4)
%% Question #18
'______________ Question 18______________'
'Answers 1 And 2 are correct'
