{
"cells": [
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"cell_type": "markdown",
"metadata": {},
"source": [
"#Chapter 15 , Cathode Ray Oscilloscope"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##Example 15.1 , Page Number 537"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Deflection sensitivity : 0.167 mm/V.\n"
]
}
],
"source": [
"#Variables\n",
"\n",
"l = 25.0 * 10**-3 #Length of plates (in meter)\n",
"d = 5.0 * 10**-3 #Distance between plates (in meter)\n",
"S = 0.20 #Distance between screen and centre of plates (in meter) \n",
"Va = 3000.0 #Accelerating voltage (in volts)\n",
"tracelen = 0.1 #Trace length (in meter)\n",
"y = tracelen/2 #vertical distance (in meter)\n",
"\n",
"#Calculation\n",
"\n",
"Vd = 2*d*Va*y/(l*S) #Deflecting voltage (in volts)\n",
"Vrms = Vd/2**0.5 #RMS value of voltage (in volts)\n",
"defsen = l*S/(2*d*Va) #Deflection sensitivity (in meter per volt)\n",
"\n",
"#Result\n",
"\n",
"print \"Deflection sensitivity : \",round(defsen * 10**3,3),\"mm/V.\""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##Example 15.2 , Page Number 537"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Maximum velocity of electrons : 18.75 e+6 m/s.\n"
]
}
],
"source": [
"#Variables\n",
"\n",
"Va = 1000.0 #Accelerating voltage (in volts)\n",
"e = 1.6 * 10**-19 #Charge on electron (in Coulomb)\n",
"m = 9.1 * 10**-31 #Mass of electron (in kilogram) \n",
"\n",
"#Calculation\n",
"\n",
"v = (2*Va*e/m)**0.5 #Maximum velocity of electrons (in meter per second) \n",
"\n",
"#Result\n",
"\n",
"print \"Maximum velocity of electrons : \",round(v*10**-6,2),\"e+6 m/s.\""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##Example 15.3 , Page Number 538"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Applied voltage : 100.0 V.\n"
]
}
],
"source": [
"#Variables\n",
"\n",
"defsen = 0.05 * 10**-3 #Deflection Sensitivity (in meter per volt)\n",
"spotdef = 5.0 * 10**-3 #Deflection factor (in volt per meter)\n",
"\n",
"#Calculation\n",
"\n",
"V = spotdef/defsen #Applied voltage (in volts)\n",
"\n",
"#Result\n",
"\n",
"print \"Applied voltage : \",V,\"V.\""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##Example 15.4 , Page Number 538"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Deflection sensitivity : 0.1667 mm/V.\n",
"Deflection factor : 6.0 V/mm.\n"
]
}
],
"source": [
"#Variables\n",
"\n",
"l = 20.0 * 10**-3 #Length of plates (in meter)\n",
"d = 5.0 * 10**-3 #Distance between plates (in meter)\n",
"S = 0.25 #Distance between screen and centre of plates (in meter) \n",
"Va = 3000.0 #Accelerating voltage (in volts) \n",
"\n",
"#Calculation\n",
"\n",
"defsen = l*S/(2*d*Va) #Deflection Sensitivity (in meter per volt)\n",
"deffact = 1/defsen #Deflection factor (in volt per meter)\n",
"\n",
"#Result\n",
"\n",
"print \"Deflection sensitivity : \",round(defsen*10**3,4),\"mm/V.\"\n",
"print \"Deflection factor : \",deffact*10**-3,\"V/mm.\""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##Example 15.6 , Page Number 549"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Ratio of freqency of vertical and horizontal signals : 1.5 .\n"
]
}
],
"source": [
"#Variables\n",
"\n",
"tangv = 3.0 #Positive of Y - peak to vertical line\n",
"tangh = 2.0 #Positive of X - peak to horizontal line \n",
"\n",
"#Calculation\n",
"\n",
"ratio = tangv/tangh #Ratio of freq. of vertical and horizontal signals \n",
"\n",
"#Result\n",
"\n",
"print \"Ratio of freqency of vertical and horizontal signals : \",ratio,\".\""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##Example 15.7 , Page Number 549"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Frequency of vertical input : 7500.0 Hz.\n"
]
}
],
"source": [
"#Variables\n",
"\n",
"fx = 3.0 * 10**3 #Frequency of horizontal input (in Hertz)\n",
"tangv = 2.5 #Positive of Y - peak to vertical line\n",
"tangh = 1.0 #Positive of X - peak to horizontal line \n",
"\n",
"#Calculation\n",
"\n",
"fy = fx*tangv/tangh #Frequency of vertical input (in Hertz)\n",
"\n",
"#Result\n",
"\n",
"print \"Frequency of vertical input : \",fy,\"Hz.\""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##Example 15.8 , Page Number 549"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Frequency of vertical input : 2500.0 Hz.\n"
]
}
],
"source": [
"#Variables\n",
"\n",
"fx = 1000.0 #Frequency of horizontal input (in Hertz)\n",
"tangv = 2.0 #Points of tangency to vertical line\n",
"tangh = 5.0 #Points of tangency to horizontal line \n",
"\n",
"#Calculation\n",
"\n",
"fy = fx*tangh/tangv #Frequency of vertical input (in Hertz)\n",
"\n",
"#Result\n",
"\n",
"print \"Frequency of vertical input : \",fy,\"Hz.\""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##Example 15.9 , Page Number 549"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Mark to Space ratio : 0.25 .\n",
"Pulse frequency : 50.0 kHz.\n",
"Magnitude of pulse voltage : 0.43 V.\n"
]
}
],
"source": [
"#Variables\n",
"\n",
"div = 1.0 #One division = one cm (in cm)\n",
"mark = 0.4 #One mark (in cm)\n",
"space = 1.6 #One space (in cm)\n",
"Amp = 2.15 #Amplitude \n",
"Ampctrl = 0.2 #Signal amplitude control (in volt per division) \n",
"tbctrlset = 10.0 * 10**-6 #Time based control setting (in seconds)\n",
"\n",
"#Calculation\n",
"\n",
"MtoS = mark/space #Mark to space ratio\n",
"T = (space + mark)*tbctrlset #Pulse time period (in seconds)\n",
"f = 1/T #Pulse frequency (in Hertz)\n",
"Vp = Amp * Ampctrl #Magnitude of pulse voltage (in volts) \n",
"\n",
"#Result\n",
"\n",
"print \"Mark to Space ratio : \",round(MtoS,2),\".\"\n",
"print \"Pulse frequency : \",(f*10**-3),\"kHz.\"\n",
"print \"Magnitude of pulse voltage : \",Vp,\"V.\""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##Example 15.10 , Page Number 550"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"RMS value of ac voltage : 17.678 V.\n"
]
}
],
"source": [
"#Variables\n",
"\n",
"L = 10 #Length of trace (in cm)\n",
"S = 5 #Deflection sensitivty (in volt per cm)\n",
"\n",
"#Calculation\n",
"\n",
"Vpktopk = L*S #Voltage peak-to-peak (in volts)\n",
"Vpeak = Vpktopk/2 #Peak value of voltage (in volts)\n",
"Vrms = Vpeak/2**0.5 #RMS of peak value (in volts) \n",
"\n",
"#Result\n",
"\n",
"print \"RMS value of ac voltage : \",round(Vrms,3),\"V.\"\n",
"\n",
"#Slight variations due to higher precision."
]
}
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