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Diffstat (limited to 'Principles_of_physics/Chapter13.ipynb')
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diff --git a/Principles_of_physics/Chapter13.ipynb b/Principles_of_physics/Chapter13.ipynb new file mode 100755 index 00000000..7a510f42 --- /dev/null +++ b/Principles_of_physics/Chapter13.ipynb @@ -0,0 +1,352 @@ +{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:a93967e9e262485d7a93dbdce7f33a1a65f797a1b1bf83e41cb800f1ff62d528"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "Chapter 13 Alternating current circuits"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 13.1 page no 217"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#given\n",
+ "Vm=100 #Maximum voltage in V\n",
+ "R=50 #resitance in ohms\n",
+ "\n",
+ "#Calculations\n",
+ "import math\n",
+ "Vrms=(Vm/math.sqrt(2))\n",
+ "Irms=(Vrms/R)\n",
+ "Im=(Vm/R)\n",
+ "\n",
+ "#Output\n",
+ "print\"rms current is \",round(Irms,2),\"A and maximum current is \",Im,\"A\"\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "rms current is 1.41 A and maximum current is 2 A\n"
+ ]
+ }
+ ],
+ "prompt_number": 1
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 13.2 page no 218"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#given\n",
+ "c=50 #Capacitor in micro F\n",
+ "Vm=220 #Maximum voltage in V\n",
+ "f=50 #Frequency in Hz\n",
+ "\n",
+ "#Calculations\n",
+ "import math\n",
+ "Xc=(1/(2.0*3.14*c*10**-6*f))\n",
+ "I=(Vm/Xc)\n",
+ "Irms=I/math.sqrt(2)\n",
+ "\n",
+ "#Output\n",
+ "print\"rms current is \",round(Irms,2),\"A\"\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "rms current is 2.44 A\n"
+ ]
+ }
+ ],
+ "prompt_number": 2
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 13.3 page no 218"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#given\n",
+ "L=2 #Inductance in H\n",
+ "Vrms=220 #rms voltage in V\n",
+ "f=50 #Frequency in Hz\n",
+ "\n",
+ "#Calculations\n",
+ "Xl=(2*3.14*f*L)\n",
+ "Irms=(Vrms/Xl)\n",
+ "\n",
+ "#Output\n",
+ "print\"rms current is \",round(Irms,3),\"A\"\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "rms current is 0.35 A\n"
+ ]
+ }
+ ],
+ "prompt_number": 3
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 13.4 page no 218"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#given\n",
+ "Vm=220 #Maximum voltage in V\n",
+ "f=50 #frequency in Hz\n",
+ "R=2000 #Resistance in ohms\n",
+ "C=5*10**-6 #Capacitor in F\n",
+ "\n",
+ "#Calculations\n",
+ "import math\n",
+ "Xc=(1/(2*3.14*f*C))\n",
+ "Z=math.sqrt(R**2+Xc**2)\n",
+ "Vc=(Vm*Xc)/Z\n",
+ "\n",
+ "#Output\n",
+ "print\"Maximum potential difference across the capacitor is \",round(Vc,1),\"V\"\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Maximum potential difference across the capacitor is 66.8 V\n"
+ ]
+ }
+ ],
+ "prompt_number": 4
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 13.5 page no 218"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#given\n",
+ "R=5000 #Resistance in ohms\n",
+ "L=2 #Inductance in H\n",
+ "Vrms=200 #rms Voltage in V\n",
+ "f=50 #Frequency in Hz\n",
+ "\n",
+ "#Calculations\n",
+ "import math\n",
+ "Xl=(2*3.14*f*L)\n",
+ "Z=math.sqrt(R**2+Xl**2)\n",
+ "Vl=(Vrms*Xl)/Z\n",
+ "\n",
+ "#Output\n",
+ "print\"rms potential difference across the inductor is \",round(Vl,2),\"V\"\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "rms potential difference across the inductor is 24.92 V\n"
+ ]
+ }
+ ],
+ "prompt_number": 1
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 13.6 page no 218"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#given\n",
+ "R=10.0 #Resistance in ohms\n",
+ "L=5*10**-3 #Inductance in H\n",
+ "C=10.0*10**-6 #Capacitance in F\n",
+ "V=100 #Voltage in V\n",
+ "f=50.0 #Frequency in Hz\n",
+ "\n",
+ "#Calculations\n",
+ "import math\n",
+ "Xc=1/(2.0*3.14*f*C)\n",
+ "Xl=(2*3.14*f*L)\n",
+ "Z=math.sqrt(R**2+(Xl-Xc)**2)\n",
+ "I=(V/Z)\n",
+ "q=math.atan((Xl-Xc)/R)*180/3.14\n",
+ "Vr=(I*R)\n",
+ "Vc=(I*Xc)\n",
+ "Vl=(I*Xl)\n",
+ "\n",
+ "#Output\n",
+ "print\"Total impedence is \",round(Z,1),\"ohms\" \n",
+ "print\"Current is \",round(I,2),\"A\" \n",
+ "print\"Phase angle is \",round(q,1),\"degrees\" \n",
+ "print\"Voltage across resistor is \",round(Vr,2),\"V\" \n",
+ "print\"Voltage across capacitor is \",round(Vc,0),\"V\" \n",
+ "print\"Voltage across inductor is \",round(Vl,3),\"V\"\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Total impedence is 317.1 ohms\n",
+ "Current is 0.32 A\n",
+ "Phase angle is -88.2 degrees\n",
+ "Voltage across resistor is 3.15 V\n",
+ "Voltage across capacitor is 100.0 V\n",
+ "Voltage across inductor is 0.495 V\n"
+ ]
+ }
+ ],
+ "prompt_number": 5
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 13.7 page no 219"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#given\n",
+ "R=5.0 #Resistance in ohms\n",
+ "L=2.0*10**-3 #Inductance in H\n",
+ "C=25.0*10**-6 #Capacitance in F\n",
+ "V=50 #Voltage in V\n",
+ "\n",
+ "#Calculations\n",
+ "import math\n",
+ "w=1/math.sqrt(L*C)\n",
+ "f=(w/(2.0*3.14))\n",
+ "Q=(w*L)/R \n",
+ "\n",
+ "#Output \n",
+ "print\"Resonating frequency is \",round(f,0),\"Hz\" \n",
+ "print\"Q factor is \",round(Q,2)\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Resonating frequency is 712.0 Hz\n",
+ "Q factor is 1.79\n"
+ ]
+ }
+ ],
+ "prompt_number": 6
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 13.8 page no 219"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#given\n",
+ "L=(20*10**-3) #Inductance in H\n",
+ "Q=8.0 #Q factor\n",
+ "f=1000 #Frequency in Hz\n",
+ "\n",
+ "#Calculations\n",
+ "R=(2*3.14*f*L)/Q\n",
+ "C=(1/((2.0*3.14*f)**2*L))/10**-6\n",
+ "\n",
+ "#Output\n",
+ "print\"Capacitance and resistance of coil is \",round(C,2),\"micro F and\",R,\"ohms respectively\"\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Capacitance and resistance of coil is 1.27 micro F and 15.7 ohms respectively\n"
+ ]
+ }
+ ],
+ "prompt_number": 26
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+}
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