From b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b Mon Sep 17 00:00:00 2001
From: priyanka
Date: Wed, 24 Jun 2015 15:03:17 +0530
Subject: initial commit / add all books

---
 2258/CH2/EX2.1/2_1.sce   |  9 +++++++++
 2258/CH2/EX2.10/2_10.sce | 15 +++++++++++++++
 2258/CH2/EX2.11/2_11.sce | 14 ++++++++++++++
 2258/CH2/EX2.12/2_12.sce | 10 ++++++++++
 2258/CH2/EX2.13/2_13.sce | 15 +++++++++++++++
 2258/CH2/EX2.14/2_14.sce | 17 +++++++++++++++++
 2258/CH2/EX2.15/2_15.sce | 17 +++++++++++++++++
 2258/CH2/EX2.16/2_16.sce | 12 ++++++++++++
 2258/CH2/EX2.17/2_17.sce | 11 +++++++++++
 2258/CH2/EX2.2/2_2.sce   |  9 +++++++++
 2258/CH2/EX2.3/2_3.sce   | 17 +++++++++++++++++
 2258/CH2/EX2.4/2_4.sce   | 18 ++++++++++++++++++
 2258/CH2/EX2.5/2_5.sce   | 13 +++++++++++++
 2258/CH2/EX2.6/2_6.sce   | 15 +++++++++++++++
 2258/CH2/EX2.7/2_7.sce   | 10 ++++++++++
 2258/CH2/EX2.8/2_8.sce   | 17 +++++++++++++++++
 2258/CH2/EX2.9/2_9.sce   | 10 ++++++++++
 17 files changed, 229 insertions(+)
 create mode 100755 2258/CH2/EX2.1/2_1.sce
 create mode 100755 2258/CH2/EX2.10/2_10.sce
 create mode 100755 2258/CH2/EX2.11/2_11.sce
 create mode 100755 2258/CH2/EX2.12/2_12.sce
 create mode 100755 2258/CH2/EX2.13/2_13.sce
 create mode 100755 2258/CH2/EX2.14/2_14.sce
 create mode 100755 2258/CH2/EX2.15/2_15.sce
 create mode 100755 2258/CH2/EX2.16/2_16.sce
 create mode 100755 2258/CH2/EX2.17/2_17.sce
 create mode 100755 2258/CH2/EX2.2/2_2.sce
 create mode 100755 2258/CH2/EX2.3/2_3.sce
 create mode 100755 2258/CH2/EX2.4/2_4.sce
 create mode 100755 2258/CH2/EX2.5/2_5.sce
 create mode 100755 2258/CH2/EX2.6/2_6.sce
 create mode 100755 2258/CH2/EX2.7/2_7.sce
 create mode 100755 2258/CH2/EX2.8/2_8.sce
 create mode 100755 2258/CH2/EX2.9/2_9.sce

(limited to '2258/CH2')

diff --git a/2258/CH2/EX2.1/2_1.sce b/2258/CH2/EX2.1/2_1.sce
new file mode 100755
index 000000000..182ca4144
--- /dev/null
+++ b/2258/CH2/EX2.1/2_1.sce
@@ -0,0 +1,9 @@
+clc();
+clear;
+// To calculate the Fermi function
+// given that E-Ef = kT
+// fermi function FE = 1/(1+exp((E-Ef)/kT)
+// therefore FE = 1/(1+exp(kT/kT));
+// FE = 1/(1+exp(1))
+FE=1/(1+exp(1));
+printf("fermi function is %f",FE);
diff --git a/2258/CH2/EX2.10/2_10.sce b/2258/CH2/EX2.10/2_10.sce
new file mode 100755
index 000000000..554327a23
--- /dev/null
+++ b/2258/CH2/EX2.10/2_10.sce
@@ -0,0 +1,15 @@
+clc();
+clear;
+// To calculate the number of states per unit volume
+m=9.1*10^-31;   //mass in kg
+h=6.626*10^-34;
+A=(8*m)^(3/2);
+B=%pi/(2*h^3);
+EfeV=3.10;    //fermi energy in eV
+Ef=EfeV*1.6*10^-19;    //fermi energy in J
+EFeV=EfeV+0.02;    //energy after interval in eV
+EF=EFeV*1.6*10^-19;    //energy after interval in J
+function Q=f(E),Q=A*B*sqrt(E),endfunction
+I=intg(Ef,EF,f)
+printf("number of energy states per unit volume is");
+disp(I);
diff --git a/2258/CH2/EX2.11/2_11.sce b/2258/CH2/EX2.11/2_11.sce
new file mode 100755
index 000000000..62df8945d
--- /dev/null
+++ b/2258/CH2/EX2.11/2_11.sce
@@ -0,0 +1,14 @@
+clc();
+clear;
+// To calculate the mean free path of electron
+T=300;   //temperature in K
+n=8.5*10^28;   //density per m^3
+rho=1.69*10^-8;   //resistivity in ohm/m^3
+me=9.11*10^-31;    //mass of electron in kg
+e=1.6*10^-19;    //charge in coulomb
+KB=1.38*10^-23;    //boltzmann constant in J/k
+lamda=sqrt(3*KB*me*T)/(n*(e^2)*rho);
+printf("mean free path of electron in m is");
+disp(lamda);
+
+//answer given in the book is wrong
diff --git a/2258/CH2/EX2.12/2_12.sce b/2258/CH2/EX2.12/2_12.sce
new file mode 100755
index 000000000..eee3a1345
--- /dev/null
+++ b/2258/CH2/EX2.12/2_12.sce
@@ -0,0 +1,10 @@
+clc();
+clear;
+// To calculate the relaxation time of conduction electrons
+rho=1.43*10^-8;    //resistivity in ohm-m
+n=6.5*10^28;   //electron/m^3
+m=9.11*10^-34;   //mass in kg
+e=1.6*10^-19;   //charge in coulomb
+tow=m/(n*(e^2)*rho);
+printf("relaxation time of conduction electrons in sec is");
+disp(tow);
diff --git a/2258/CH2/EX2.13/2_13.sce b/2258/CH2/EX2.13/2_13.sce
new file mode 100755
index 000000000..85222dc9c
--- /dev/null
+++ b/2258/CH2/EX2.13/2_13.sce
@@ -0,0 +1,15 @@
+clc();
+clear;
+// To calculate the mobility and average time of collision of electrons
+d=8.92*10^3;   //density in kg/m^3
+rho=1.73*10^-8;   //resistivity in ohm-m
+m=9.1*10^-31;    //mass in kg
+M=63.5;    //atomic weight
+e=1.6*10^-19;    //charge in coulomb
+A=6.02*10^26;    //avagadro number
+n=(d*A)/M;
+mew=1/(rho*n*e);
+tow=m/(n*(e^2)*rho);
+printf("mobility of electrons in Copper is %f m/Vs",mew);
+printf("average time of collision of electrons in copper in sec is");
+disp(tow);
diff --git a/2258/CH2/EX2.14/2_14.sce b/2258/CH2/EX2.14/2_14.sce
new file mode 100755
index 000000000..ebef1a637
--- /dev/null
+++ b/2258/CH2/EX2.14/2_14.sce
@@ -0,0 +1,17 @@
+clc();
+clear;
+// To calculate the order of magnitude of velocity of molecules
+MH=1.008*2*1.67*10^-27;    //mass in kg
+T=30;   //temperature in C
+T=T+273;    //temperature in K
+KB=1.38*10^-23;    //boltzmann constant in J/k
+KE=(3/2)*KB*T;   //kinetic energy in J
+KEeV=KE*6.24*10^18;   //kinetic energy in eV
+cbar=sqrt((3*KB*T)/MH);
+printf("average kinetic energy in J is");
+disp(KE);
+printf("average kinetic energy in eV is");
+disp(KEeV);
+printf("velocity of molecules is %f m/s",cbar);
+
+//answers for average kinetic energy in eV and velocity of electrons given in the book are wrong
diff --git a/2258/CH2/EX2.15/2_15.sce b/2258/CH2/EX2.15/2_15.sce
new file mode 100755
index 000000000..321554ccc
--- /dev/null
+++ b/2258/CH2/EX2.15/2_15.sce
@@ -0,0 +1,17 @@
+clc();
+clear;
+// To calculate the velocity of an electron and proton
+Ee=10;   //electron kinetic energy in eV
+EeeV=Ee*1.6*10^-19;   //electron kinetic energy in J
+Ep=10;   //proton kinetic energy in eV
+EpeV=Ep*1.6*10^-19;   //proton kinetic energy in J
+me=9.1*10^-31;   //mass of electron in kg
+mp=1.67*10^-27;   //mass of proton in kg
+cebar=sqrt((2*EeeV)/me);
+cpbar=sqrt((2*EpeV)/mp);
+printf("velocity of electron in m/s is");
+disp(cebar);
+printf("velocity of proton in m/s is");
+disp(cpbar);
+
+//answers given in the book are wrong
diff --git a/2258/CH2/EX2.16/2_16.sce b/2258/CH2/EX2.16/2_16.sce
new file mode 100755
index 000000000..da59c6275
--- /dev/null
+++ b/2258/CH2/EX2.16/2_16.sce
@@ -0,0 +1,12 @@
+clc();
+clear;
+// To calculate the drift velocity of free electrons
+A=10;   //area of cross section in mm^2
+A=A*10^-6;   //area of cross section in m^2
+i=100;   //current in amp
+n=8.5*10^28;    //number of electrons per mm^3
+e=1.6*10^-19;    //electron charge in coulumb
+vd=1/(n*A*e);
+printf("drift velocity is %f m/s",vd);
+
+//answer given in the book is wrong
diff --git a/2258/CH2/EX2.17/2_17.sce b/2258/CH2/EX2.17/2_17.sce
new file mode 100755
index 000000000..129ec9057
--- /dev/null
+++ b/2258/CH2/EX2.17/2_17.sce
@@ -0,0 +1,11 @@
+clc();
+clear;
+// To calculate the thermal conductivity of copper
+tow=3*10^-14;    //relaxation time in sec
+n=8*10^28;    //density of electrons per m^3
+KB=1.38*10^-23;   //boltzmann constant in J/k
+T=0;   //temperature in C
+T=T+273;   //temperature in K
+m=9.1*10^-31;   //mass of electron in kg
+sigma_T=((3*n*tow*(KB^2)*T)/(2*m));
+printf("thermal conductivity of copper is %f ohm-1",sigma_T);
diff --git a/2258/CH2/EX2.2/2_2.sce b/2258/CH2/EX2.2/2_2.sce
new file mode 100755
index 000000000..182ca4144
--- /dev/null
+++ b/2258/CH2/EX2.2/2_2.sce
@@ -0,0 +1,9 @@
+clc();
+clear;
+// To calculate the Fermi function
+// given that E-Ef = kT
+// fermi function FE = 1/(1+exp((E-Ef)/kT)
+// therefore FE = 1/(1+exp(kT/kT));
+// FE = 1/(1+exp(1))
+FE=1/(1+exp(1));
+printf("fermi function is %f",FE);
diff --git a/2258/CH2/EX2.3/2_3.sce b/2258/CH2/EX2.3/2_3.sce
new file mode 100755
index 000000000..51852afec
--- /dev/null
+++ b/2258/CH2/EX2.3/2_3.sce
@@ -0,0 +1,17 @@
+clc();
+clear;
+// To calculate the temperature
+FE=10/100;    //fermi function is 10%
+Ef=5.5;   //fermi energy of silver in eV
+k=1.38*10^-23;
+E=Ef+(Ef/100);
+//FE=1/(1+exp((E-Ef)/(k*T)))
+//therefore 1/FE = 1+exp((E-Ef)/(k*T))
+//therefore (1/FE)-1 = exp((E-Ef)/(k*T))
+//therefore log((1/FE)-1) = (E-Ef)/(k*T)
+//therefore T = (E-Ef)/(k*log((1/FE)-1))
+//let X=E-Ef;    
+X=E-Ef;     //energy in eV
+X=X*1.6*10^-19;    //energy in J
+T = (X/(k*log((1/FE)-1)));
+printf("temperature is %f K",T);
diff --git a/2258/CH2/EX2.4/2_4.sce b/2258/CH2/EX2.4/2_4.sce
new file mode 100755
index 000000000..9fecc5793
--- /dev/null
+++ b/2258/CH2/EX2.4/2_4.sce
@@ -0,0 +1,18 @@
+clc();
+clear;
+// To calculate the temperature
+//let X=E-Ef
+X=0.5;   //E-Ef=0.5 in eV
+X=X*1.6*10^-19;   //X in J
+FE=1/100;    //fermi function is 1% 
+k=1.38*10^-23;
+//FE=1/(1+exp(X/(k*T)))
+//therefore 1/FE = 1+exp(X/(k*T))
+//therefore (1/FE)-1 = exp(X/(k*T))
+//therefore log((1/FE)-1) = X/(k*T)
+//but log(x) = 2.303*log10(x)
+//therefore T = X/(k*log((1/FE)-1))
+//but log(x)=2.303*log10(x)
+//therefore T = X/(k*2.303*log10((1/FE)-1))
+T = X/(k*2.303*log10((1/FE)-1));
+printf("temperature is %f K",T);
diff --git a/2258/CH2/EX2.5/2_5.sce b/2258/CH2/EX2.5/2_5.sce
new file mode 100755
index 000000000..a579261a5
--- /dev/null
+++ b/2258/CH2/EX2.5/2_5.sce
@@ -0,0 +1,13 @@
+clc();
+clear;
+// To calculate the density and mobility of electrons in silver
+rho_s=10.5*10^3;   //density in kg/m^3
+NA=6.02*10^26;    //avagadro number per kmol
+MA=107.9;    
+n=(rho_s*NA)/MA;
+sigma=6.8*10^7;
+e=1.6*10^-19;   //charge in coulomb
+mew=sigma/(n*e);
+printf("density of electrons is");
+disp(n);
+printf("mobility of electrons in silver is %f m^2/Vs",mew);
diff --git a/2258/CH2/EX2.6/2_6.sce b/2258/CH2/EX2.6/2_6.sce
new file mode 100755
index 000000000..b807d2cee
--- /dev/null
+++ b/2258/CH2/EX2.6/2_6.sce
@@ -0,0 +1,15 @@
+clc();
+clear;
+// To calculate the mobility and average time of collision of electrons
+d=8.92*10^3;   //density in kg/m^3
+rho=1.73*10^-8;   //resistivity in ohm-m
+m=9.1*10^-31;    //mass in kg
+w=63.5;    //atomic weight
+e=1.6*10^-19;    //charge in coulomb
+A=6.02*10^26;    //avagadro number
+n=(d*A)/w;
+mew=1/(rho*n*e);
+tow=m/(n*(e^2)*rho);
+printf("mobility of electrons in Copper is %f m/Vs",mew);
+printf("average time of collision of electrons in copper in sec is");
+disp(tow);
diff --git a/2258/CH2/EX2.7/2_7.sce b/2258/CH2/EX2.7/2_7.sce
new file mode 100755
index 000000000..fd6ce9d9b
--- /dev/null
+++ b/2258/CH2/EX2.7/2_7.sce
@@ -0,0 +1,10 @@
+clc();
+clear;
+// To calculate the relaxation time of conduction electrons
+rho=1.54*10^-8;    //resistivity in ohm-m
+n=5.8*10^28;   //electron/m^3
+m=9.108*10^-31;   //mass in kg
+e=1.602*10^-19;   //charge in coulomb
+tow=m/(n*(e^2)*rho);
+printf("relaxation time of conduction electrons in sec is");
+disp(tow);
diff --git a/2258/CH2/EX2.8/2_8.sce b/2258/CH2/EX2.8/2_8.sce
new file mode 100755
index 000000000..51852afec
--- /dev/null
+++ b/2258/CH2/EX2.8/2_8.sce
@@ -0,0 +1,17 @@
+clc();
+clear;
+// To calculate the temperature
+FE=10/100;    //fermi function is 10%
+Ef=5.5;   //fermi energy of silver in eV
+k=1.38*10^-23;
+E=Ef+(Ef/100);
+//FE=1/(1+exp((E-Ef)/(k*T)))
+//therefore 1/FE = 1+exp((E-Ef)/(k*T))
+//therefore (1/FE)-1 = exp((E-Ef)/(k*T))
+//therefore log((1/FE)-1) = (E-Ef)/(k*T)
+//therefore T = (E-Ef)/(k*log((1/FE)-1))
+//let X=E-Ef;    
+X=E-Ef;     //energy in eV
+X=X*1.6*10^-19;    //energy in J
+T = (X/(k*log((1/FE)-1)));
+printf("temperature is %f K",T);
diff --git a/2258/CH2/EX2.9/2_9.sce b/2258/CH2/EX2.9/2_9.sce
new file mode 100755
index 000000000..d87a1dcc6
--- /dev/null
+++ b/2258/CH2/EX2.9/2_9.sce
@@ -0,0 +1,10 @@
+clc();
+clear;
+// To calculate the Fermi distribution function
+// given that E-Ef = kT
+// fermi function FpE = 1/(1+exp((E-Ef)/kT)
+// therefore FpE = 1/(1+exp(kT/kT));
+// FpE = 1/(1+exp(1))
+FpE=1/(1+exp(1));
+printf("fermi function is %f",FpE);
+//the presence of electron at that energy level is not certain
-- 
cgit