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diff --git a/Physics_for_BSc(Paper-3)/Chapter4.ipynb b/Physics_for_BSc(Paper-3)/Chapter4.ipynb new file mode 100755 index 00000000..3a0be628 --- /dev/null +++ b/Physics_for_BSc(Paper-3)/Chapter4.ipynb @@ -0,0 +1,333 @@ +{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:50315b4dee267422712255a4580dea3156e39933e372f17694b3cb35adb8e098"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "4: Capacitors"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 4.1, Page number 91"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "r=6750*10**3; #radius of earth(m)\n",
+ "#let x=4*pi*epsilon0\n",
+ "x=1/(9*10**9); \n",
+ "\n",
+ "#Calculation\n",
+ "C=x*r; #capacitance(F)\n",
+ "C=C*10**6; #capacitance(micro F)\n",
+ "\n",
+ "#Result\n",
+ "print \"capacitance is\",C,\"micro F\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "capacitance is 750.0 micro F\n"
+ ]
+ }
+ ],
+ "prompt_number": 1
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 4.2, Page number 91"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "C1=20*10**-6; #capacitance(F)\n",
+ "V1=500; #potential(V)\n",
+ "C2=10*10**-6; #capacitance(F)\n",
+ "V2=200; #potential(V)\n",
+ "\n",
+ "#Calculation\n",
+ "q1=C1*V1; #charge on 1st capacitor(C)\n",
+ "q2=C2*V2; #charge on 2nd capacitor(C)\n",
+ "C=C1+C2; #resultant capacitance(C)\n",
+ "V=(q1+q2)/C; #combined potential(V)\n",
+ "\n",
+ "#Result\n",
+ "print \"combined potential is\",V,\"V\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "combined potential is 400.0 V\n"
+ ]
+ }
+ ],
+ "prompt_number": 2
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 4.3, Page number 92"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "Cp=5; #resultant capacitance in parallel(micro F)\n",
+ "Cs=1.2; #resultant capacitance in series(micro F)\n",
+ "\n",
+ "#Calculation\n",
+ "C1C2=Cp*Cs; #product of capacitance(micro F)\n",
+ "C1_C2=math.sqrt((Cp**2)-(4*C1C2)); #difference of capacitance(micro F)\n",
+ "twoC1=Cp+C1_C2; \n",
+ "C1=twoC1/2; \n",
+ "twoC2=Cp-C1_C2;\n",
+ "C2=twoC2/2;\n",
+ "\n",
+ "#Result\n",
+ "print \"values of capacitors are\",C1,\"micro F and\",C2,\"micro F\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "values of capacitors are 3.0 micro F and 2.0 micro F\n"
+ ]
+ }
+ ],
+ "prompt_number": 3
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 4.4, Page number 93"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "C=0.2*10**-6; #capacitance(F)\n",
+ "V=2; #potential(V)\n",
+ "\n",
+ "#Calculation\n",
+ "U=(1/2)*C*(V**2); #energy stored(J)\n",
+ "\n",
+ "#Result\n",
+ "print \"energy stored is\",U,\"J\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "energy stored is 4e-07 J\n"
+ ]
+ }
+ ],
+ "prompt_number": 4
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 4.5, Page number 93"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "A=1; #area of plates(m**2)\n",
+ "k=7; #dielectric constant\n",
+ "d=0.01*10**-2; #distance between plates(m)\n",
+ "V=300; #potential(V)\n",
+ "epsilon0=8.85*10**-12; #dielectric permittivity of free space\n",
+ "\n",
+ "#Calculation\n",
+ "C=k*epsilon0*A/d; #capacitance(F)\n",
+ "E=(1/2)*C*(V**2); #energy stored in capacitor(J)\n",
+ "\n",
+ "#Result\n",
+ "print \"energy stored in capacitor is\",round(E*10**3,3),\"*10**-3 J\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "energy stored in capacitor is 27.877 *10**-3 J\n"
+ ]
+ }
+ ],
+ "prompt_number": 9
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 4.6, Page number 93"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "A=2; #area(m**2)\n",
+ "d=1*10**-2; #distance(m)\n",
+ "V0=6000; #potential(V)\n",
+ "V=2000; #potential(V)\n",
+ "epsilon0=8.85*10**-12; #dielectric permittivity of free space\n",
+ "\n",
+ "#Calculation\n",
+ "C0=epsilon0*A/d; #capacitance when there is no dielectric(F)\n",
+ "Q=C0*V0; #charge on each plate(C)\n",
+ "C=Q/V; #capacitance when there is dielectric(F)\n",
+ "k=C/C0; #dielectric constant\n",
+ "E0=V0/d; #electric field intensity with air medium(V/m)\n",
+ "E=V/d; #electric field intensity with dielectric(V/m)\n",
+ "\n",
+ "#Result\n",
+ "print \"capacitance when there is no dielectric is\",C0*10**9,\"nF\"\n",
+ "print \"charge on each plate is\",Q,\"C\"\n",
+ "print \"capacitance when there is dielectric is\",C*10**9,\"nF\"\n",
+ "print \"dielectric constant is\",k\n",
+ "print \"electric field intensity with air medium is\",E0/10**5,\"*10**5 V/m\"\n",
+ "print \"electric field intensity with dielectric is\",E/10**5,\"*10**5 V/m\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "capacitance when there is no dielectric is 1.77 nF\n",
+ "charge on each plate is 1.062e-05 C\n",
+ "capacitance when there is dielectric is 5.31 nF\n",
+ "dielectric constant is 3.0\n",
+ "electric field intensity with air medium is 6.0 *10**5 V/m\n",
+ "electric field intensity with dielectric is 2.0 *10**5 V/m\n"
+ ]
+ }
+ ],
+ "prompt_number": 11
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 4.7, Page number 95"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "k=5.4; #dielectric constant\n",
+ "E=10**6; #electric field intensity(V/m)\n",
+ "A=50*10**-4; #area(m**2)\n",
+ "epsilon0=8.85*10**-12; #dielectric permittivity of free space\n",
+ "d=5*10**-3; #distance(m)\n",
+ "\n",
+ "#Calculation\n",
+ "u=(1/2)*k*epsilon0*(E**2); #energy density(J/m**3)\n",
+ "\n",
+ "#Result\n",
+ "print \"energy density is\",u,\"J/m**3\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "energy density is 23.895 J/m**3\n"
+ ]
+ }
+ ],
+ "prompt_number": 7
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+}
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