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 --- 2912/CH7/EX7.1/Ex7_1.sce | 21 +++++++++++++++++++++ 2912/CH7/EX7.10/Ex7_10.sce | 18 ++++++++++++++++++ 2912/CH7/EX7.2/Ex7_2.sce | 23 +++++++++++++++++++++++ 2912/CH7/EX7.3/Ex7_3.sce | 22 ++++++++++++++++++++++ 2912/CH7/EX7.4/Ex7_4.sce | 21 +++++++++++++++++++++ 2912/CH7/EX7.5/Ex7_5.sce | 19 +++++++++++++++++++ 2912/CH7/EX7.6/Ex7_6.sce | 16 ++++++++++++++++ 2912/CH7/EX7.7/Ex7_7.sce | 17 +++++++++++++++++ 2912/CH7/EX7.8/Ex7_8.sce | 16 ++++++++++++++++ 2912/CH7/EX7.9/Ex7_9.sce | 24 ++++++++++++++++++++++++ 10 files changed, 197 insertions(+) create mode 100755 2912/CH7/EX7.1/Ex7_1.sce create mode 100755 2912/CH7/EX7.10/Ex7_10.sce create mode 100755 2912/CH7/EX7.2/Ex7_2.sce create mode 100755 2912/CH7/EX7.3/Ex7_3.sce create mode 100755 2912/CH7/EX7.4/Ex7_4.sce create mode 100755 2912/CH7/EX7.5/Ex7_5.sce create mode 100755 2912/CH7/EX7.6/Ex7_6.sce create mode 100755 2912/CH7/EX7.7/Ex7_7.sce create mode 100755 2912/CH7/EX7.8/Ex7_8.sce create mode 100755 2912/CH7/EX7.9/Ex7_9.sce (limited to '2912/CH7') diff --git a/2912/CH7/EX7.1/Ex7_1.sce b/2912/CH7/EX7.1/Ex7_1.sce new file mode 100755 index 000000000..b9ff71808 --- /dev/null +++ b/2912/CH7/EX7.1/Ex7_1.sce @@ -0,0 +1,21 @@ +//chapter 7 +//example 7.1 +//Calculate the capacitance of capacitor and charge on the plates +//page 187 +clear; +clc; +//given +A=100; // in cm^2 (cross-sectional area) +d=1; // in cm (seperation between plates) +Eo=8.85E-12; // in F/m (absolute permittivity) +V=100; // in V (potential difference) +//calculate +A=A*1E-4; // changing unit from cm^2 to m^2 +d=d*1E-2; // changing unit from cm to m +C=Eo*A/d;// calculation of capacitance +Q=C*V; // calculation of charge +printf('\nThe capacitance of capacitor is \t C=%1.2E C',C); +C=C*1E12; // changing unit of capacitance from F to pF +printf('\n\t\t\t\t\t =%.2f pF',C); +printf('\n\nThe charge on the plates is \t\t Q=%1.2E C',Q); + diff --git a/2912/CH7/EX7.10/Ex7_10.sce b/2912/CH7/EX7.10/Ex7_10.sce new file mode 100755 index 000000000..8f02ba733 --- /dev/null +++ b/2912/CH7/EX7.10/Ex7_10.sce @@ -0,0 +1,18 @@ +// chapter 7 +// example 7.10 +// determine the percentage of ionic polarisability in sodium crystal +// page 191-192 +clear; +clc; +// given +n=1.5; // refractive index +Er=5.6;// dielectric constant +//calculate +// since (Er-1)/(Er+2)=N*(alpha_e+alpha_i)/(3*E0) Clausius-Mossotti equation +// and (n^2-1)/(n^2+2)=N*alpha_e/(3*E0) +// from above two equations, we get ((n^2-1)/(n^2+2))*((Er+2)/(Er-1))=alpha_e/(alpha_e+alpha_i) +// or alpha_i/ (alpha_e+alpha_i)= 1-((n^2-1)/(n^2+2))*((Er+2)/(Er-1))= (say P) +// where P is fractional ionisational polarisability +P=1-((n^2-1)/(n^2+2))*((Er+2)/(Er-1)); // calculation of fractional ionisational polarisability +P=P*100; // calculation of percentage of ionisational polarisability +printf('\nThe percentage of ionisational polarisability is \t%.1f percent',P); diff --git a/2912/CH7/EX7.2/Ex7_2.sce b/2912/CH7/EX7.2/Ex7_2.sce new file mode 100755 index 000000000..7a6efa864 --- /dev/null +++ b/2912/CH7/EX7.2/Ex7_2.sce @@ -0,0 +1,23 @@ +//chapter 7 +//example 7.2 +//Calculate the resultant voltage across the capacitor +//page 187 +clear; +clc; +//given +A=650; // in mm^2 (cross-sectional area) +d=4; // in mm (seperation between plates) +Eo=8.85E-12; // in F/m (absolute permittivity) +Er=3.5; // di-electric constant of the material +Q=2E-10; // in C (charge on plates) +//calculate +A=A*1E-6; // changing unit from mm^2 to m^2 +d=d*1E-3; // changing unit from mm to m +C=Er*Eo*A/d;// calculation of capacitance +V=Q/C; // calculation of charge +printf('\nThe capacitance of capacitor is \t C=%1.2E C',C); +C=C*1E12; // changing unit of capacitance from F to pF +printf('\n\t\t\t\t\t =%.2f pF',C); +printf('\n\nThe resultant voltage across the capacitor is \t V=%.2f V',V); +// NOTE: The answer is wrong due to calculation mistake. The mistake is that in the book Value of cross-sectional area and seperation +// between plates is considered in cm and di-electric constant has not been considered. diff --git a/2912/CH7/EX7.3/Ex7_3.sce b/2912/CH7/EX7.3/Ex7_3.sce new file mode 100755 index 000000000..a70949cd1 --- /dev/null +++ b/2912/CH7/EX7.3/Ex7_3.sce @@ -0,0 +1,22 @@ +//chapter 7 +//example 7.3 +//Calculate the radius of electron cloud and dispalcement +//page 188 +clear; +clc; +//given +N=2.7E25; // in 1/m^3 (density of atoms) +E=1E6; // in V/m (electric field) +Z=2; // atomic number of Helium +Eo=8.85E-12; // in F/m (absolute permittivity) +Er=1.0000684; // (dielectric constant of the material) +e=1.6E-19; // in C (charge of electron) +pi=3.14; // value of pi used in the solution +//calculate +// since alpha=Eo*(Er-1)/N=4*pi*Eo*r_0^3 +// Therefore we have r_0^3=(Er-1)/(4*pi*N) +r_0=((Er-1)/(4*pi*N))^(1/3);// calculation of radius of electron cloud +printf('\nThe radius of electron cloud is \t r_0=%1.2E m',r_0); +x=4*pi*Eo*E*r_0/(Z*e); // calculation of dispalcement +printf('\n\nThe displacement is x=%1.2E m',x); +// NOTE: The answer is wrong due to calculation mistake. diff --git a/2912/CH7/EX7.4/Ex7_4.sce b/2912/CH7/EX7.4/Ex7_4.sce new file mode 100755 index 000000000..8313767f0 --- /dev/null +++ b/2912/CH7/EX7.4/Ex7_4.sce @@ -0,0 +1,21 @@ +//chapter 7 +//example 7.4 +//Calculate the dipole moment induced in each atom and atomic polarisability +//page 188-189 +clear; +clc; +//given +K=1.000134; // di-elecrtic constant of the neon gas at NTP +E=90000; // in V/m (electric field) +Eo=8.85E-12; // in C/N-m^2 (absolute premittivity) +N_A=6.023E26; // in atoms/Kg-mole (Avogadro's number) +V=22.4; // in m^3 (volume of gas at NTP +//calculate +n=N_A/V; // calculaton of density of atoms +// Since P=n*p=(k-1)*Eo*E +// therefore we have +p=(K-1)*Eo*E/n; // calculation of dipole moment induced +printf('\nThe dipole moment induced in each atom is \tp=%1.2E C-m',p); +alpha=p/E; // calculation of atomic polarisability +printf('\n\nThe atomic polarisability of neon is \t=%1.2E c-m^2/V',alpha); +// NOTE: The answer of atomic polarisability is wrong due to printing error diff --git a/2912/CH7/EX7.5/Ex7_5.sce b/2912/CH7/EX7.5/Ex7_5.sce new file mode 100755 index 000000000..da76ed5b1 --- /dev/null +++ b/2912/CH7/EX7.5/Ex7_5.sce @@ -0,0 +1,19 @@ +//chapter 7 +//example 7.5 +//Calculate the electronic polarisability of sulphur +//page 189 +clear; +clc; +//given +Er=3.75; // di-elecrtic constant of sulphur at 27 degree Celcius +gama=1/3; // internal field constant +p=2050; // in Kg/m^3 (density) +M_A=32; // in amu (atomic weight of sulphur) +Eo=8.85E-12; // in F/m (absolute permittivity) +N=6.022E23; // Avogadro's number +//calculate +// Since ((Er-1)/(Er+2))*(M_A/p)=(N/(3*Eo))*alpha_e +// therefore we have +alpha_e=((Er-1)/(Er+2))*(M_A/p)*(3*Eo/N); // calculation of electronic polarisability of sulphur +printf('\nThe electronic polarisability of sulphur is \t=%1.2E Fm^2',alpha_e); +// NOTE: There is slight variation in the answer due to round off diff --git a/2912/CH7/EX7.6/Ex7_6.sce b/2912/CH7/EX7.6/Ex7_6.sce new file mode 100755 index 000000000..ac5dca5bb --- /dev/null +++ b/2912/CH7/EX7.6/Ex7_6.sce @@ -0,0 +1,16 @@ +//chapter 7 +//example 7.6 +//Calculate the electronic polarisability of Helium atoms +//page 189-190 +clear; +clc; +//given +Er=1.0000684; // di-elecrtic constant of Helium gas at NTP +Eo=8.85E-12; // in F/m (absolute permittivity) +N=2.7E25; // number of atomsper unit volume +//calculate +// Since Er-1=(N/Eo)*alpha_e +// therefore we have +alpha_e=Eo*(Er-1)/N; // calculation of electronic polarisability of Helium +printf('\nThe electronic polarisability of Helium gas is \t=%1.2E Fm^2',alpha_e); +// NOTE: There is slight variation in the answer due to round off diff --git a/2912/CH7/EX7.7/Ex7_7.sce b/2912/CH7/EX7.7/Ex7_7.sce new file mode 100755 index 000000000..474407ad6 --- /dev/null +++ b/2912/CH7/EX7.7/Ex7_7.sce @@ -0,0 +1,17 @@ +//chapter 7 +//example 7.7 +//Calculate the dielectric constant of the material +//page 190 +clear; +clc; +//given +N=3E28; // in atoms/m^3 (density of atoms) +alpha_e=1E-40; // in F-m^2 (electronic polarisability) +Eo=8.85E-12; // in F/m (absolute permittivity) +//calculate +// Since (Er-1)/(Er+2)=N*alpha_e/(3*Eo) +// therefore we have +Er=(2*(N*alpha_e/(3*Eo))+1)/(1-(N*alpha_e/(3*Eo))); + // calculation of dielectric constant of the material +printf('\nThe dielectric constant of the material is \tEr=%.3f F/m',Er); +// NOTE: The answer in the book is wrong due to calculation mistake diff --git a/2912/CH7/EX7.8/Ex7_8.sce b/2912/CH7/EX7.8/Ex7_8.sce new file mode 100755 index 000000000..94a3be024 --- /dev/null +++ b/2912/CH7/EX7.8/Ex7_8.sce @@ -0,0 +1,16 @@ +//chapter 7 +//example 7.8 +//Calculate the atomic polarisability of sulphur +//page 190 +clear; +clc; +//given +Er=4; // relative permittivity of sulphur +Eo=8.85E-12; // in F/m (absolute permittivity) +NA=2.08E3; // in Kg/m^3 (density of atoms in sulphur) +//calculate +// Since ((Er-1)/(Er+2))*(M_A/p)=(N/(3*Eo))*alpha_e +// therefore we have +alpha_e=((Er-1)/(Er+2))*(3*Eo/NA); // calculation of electronic polarisability of sulphur +printf('\nThe electronic polarisability of sulphur is \t=%1.2E Fm^2',alpha_e); +// NOTE: The answer in the book is wrong due to calculation mistake. Also one point to be mentioned is that wrong formula has been used in the solution but i have used the formula as used in the solution. diff --git a/2912/CH7/EX7.9/Ex7_9.sce b/2912/CH7/EX7.9/Ex7_9.sce new file mode 100755 index 000000000..611ecfb4a --- /dev/null +++ b/2912/CH7/EX7.9/Ex7_9.sce @@ -0,0 +1,24 @@ +// chapter 7 +// example 7.9 +// calculate polarisability due to permanent dipole moment and due to deformation of the molecules +// page 190-191 +clear; +clc; +// given +alpha1=2.5E-39; // in C^2-m/N (dielectric constant at 300K) +alpha2=2.0E-39; // in C^2-m/N (dielectric constant at 400K) +T1=300; // in K(first temperature) +T2=400; // in K(second temperature) +//calculate +// since alpha=alpha_d+alpha0 and alpha0=Beta/T +// therefore alpha=alpha_d+(Beta/T) +// since alpha1=alpha_d+(Beta/T1) and alpha2=alpha_d+(Beta/T2) +// therefore alpha1-apha2=Beta*((1/T1)-(1/T2)) +// or Beta= (alpha1-apha2)/ ((1/T1)-(1/T2)) +Beta= (alpha1-alpha2)/ ((1/T1)-(1/T2)); // calculation of Beta +alpha_d=alpha1-(Beta/T1); // calculation of polarisability due to defromation +alpha0_1=Beta/T1; // calculation of polarisability due to permanent dipole moment at 300K +alpha0_2=Beta/T2; // calculation of polarisability due to permanent dipole moment at 400K +printf('\nThe polarisability due to permanent dipole moment at 300K is \t %1.2E C^2-m/N',alpha0_1); +printf('\nThe polarisability due to permanent dipole moment at 400K is \t %1.2E C^2-m/N',alpha0_2); +printf('\n\nThe polarisability due to deformation of the molecules is \t %1.2E C^2-m/N',alpha_d); -- cgit