{ "metadata": { "name": "", "signature": "sha256:dd227268a9d19f5e7b124ff2e3d8219b9fcc3bf4655f5f8e908de4958335cce5" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Chapter 11: Semiconductor Theory and Devices" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 11.1, Page 400" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import numpy\n", "import math\n", "\n", "#Variable declaration\n", "e = 1.6e-019; # Energy equivalent of 1 eV, J\n", "k = 1.38e-023; # Boltzmann constant, J/K\n", "T = 293; # Room temperature, K\n", "\n", "#Calculations&Results\n", "dE = [0.10, 1.0, 10.0]; # Energies above the valence band, eV\n", "F_FD = numpy.zeros(3);\n", "for i in range(0,3):\n", " F_FD[i] = 1/(math.exp(dE[i]*e/(k*T)) + 1);\n", " print \"For E - E_F = %4.2f eV, F_FD = %4.2e\"%(dE[i], F_FD[i])\n", "\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "For E - E_F = 0.10 eV, F_FD = 1.88e-02\n", "For E - E_F = 1.00 eV, F_FD = 6.53e-18\n", "For E - E_F = 10.00 eV, F_FD = 1.40e-172\n" ] } ], "prompt_number": 1 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 11.3, Page 402" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Variable declaration\n", "e = 1.6e-019; # Energy equivalent of 1 eV, J\n", "rho = 5.92e-008; # Resistivity of the zinc at room temperature, ohm-m\n", "B = 0.25; # Magnetic field applied perpendicular to the strip, T\n", "x = 10.0e-002; # Length of the zinc strip, m\n", "y = 2.0e-002; # Width of the zinc strip, m\n", "V = 20e-003; # Potential difference applied across the strip, V\n", "I = 0.400; # Current through the strip, A\n", "V_H = 0.56e-006; # Hall voltage that appeared across the strip, V\n", "\n", "#Calculations\n", "z = rho*x*I/(y*V); # Thickness of the strip, m\n", "n = I*B/(e*V_H*z); # Number density of the charge carriers, per metre cube\n", "\n", "#Results\n", "print \"The thickness of the zinc strip = %4.2e m\"%z\n", "print \"The number density of the charge carriers = %4.2e per metre cube\"%n\n", "print \"The charge carries in zinc are positive.\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "The thickness of the zinc strip = 5.92e-06 m\n", "The number density of the charge carriers = 1.89e+29 per metre cube\n", "The charge carries in zinc are positive.\n" ] } ], "prompt_number": 2 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 11.4, Page 408" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import math\n", "\n", "#Variable declaration\n", "e = 1.602e-019; # Energy equivalent of 1 eV, J\n", "k = 1.38e-023; # Boltzmann constant, J/K\n", "T = 293; # Room temperature, K\n", "V_f = 0.200; # Forward voltage, V\n", "I_f = 50e-003; # Forward current, A\n", "V_r = -0.200; # Reverse voltage, V\n", "\n", "#Calculations\n", "I_r = I_f*(math.exp(e*V_r/(k*T))-1)/(math.exp(e*V_f/(k*T)) - 1); # Reverse current from diode equation, A\n", "\n", "#Result\n", "print \"The reverse current through pn-junction diode = %2d micro-ampere\"%(I_r/1e-006)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "The reverse current through pn-junction diode = -18 micro-ampere\n" ] } ], "prompt_number": 3 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 11.5, Page 413" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import math\n", "\n", "#Variable declaration\n", "A = 100*100; # Area of solar cell, Sq.m\n", "t = 12*60*60; # Time for which the solar cell operates, s\n", "phi = 680; # Solar flux received by the solar cell, W/Sq.m\n", "eta = 0.30 # Efficiency of the solar array\n", "\n", "#Calculations&Results\n", "E_array = eta*phi*A*t; # Energy produced by solar cell in one 12-hour day, J\n", "print \"The energy produced by solar cell in one 12-hour day : %3.1e J\"%E_array\n", "P = 100e+006; # Power output of power plant, W\n", "t = 24*60*60; # Time for which power plant operates, s\n", "E_plant = P*t; # Energy produced by power plant, J\n", "print \"The energy produced by power plant in one day : %3.1e J which is about %d times more than that produced by solar cell array..!\"%(E_plant, math.ceil(E_plant/E_array))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "The energy produced by solar cell in one 12-hour day : 8.8e+10 J\n", "The energy produced by power plant in one day : 8.6e+12 J which is about 99 times more than that produced by solar cell array..!\n" ] } ], "prompt_number": 4 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 11.6, Page 418" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import math\n", "\n", "#Variable declaration\n", "r1 = 2.30e-002; # Radius of inner edge of storing region of CD-ROM, m\n", "r2 =5.80e-002; # Radius of outer edge of storing region of CD-ROM, m\n", "A = math.pi*(r2**2 - r1**2); # Area of the usable region of CD-ROM, Sq.m\n", "N = 700e+006*8; # Total number of bits in CD-ROM\n", "\n", "#Calculations\n", "APB = A/N; # Area per bit of CD-ROM, Sq.m/bit\n", "t = 1.6e-006; # Track width of CD_ROM, m\n", "l = APB/t; # Bit length, m\n", "\n", "#Results\n", "print \"The surface area of CD-ROM allowed for each data bit = %3.1e Sq.m/bit\"%APB\n", "print \"The approx. dimensions of each bit along the track = %1.0f micro-metre\"%(l/1e-006)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "The surface area of CD-ROM allowed for each data bit = 1.6e-12 Sq.m/bit\n", "The approx. dimensions of each bit along the track = 1 micro-metre\n" ] } ], "prompt_number": 5 } ], "metadata": {} } ] }