{
"cells": [
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"source": [
"# Chapter 11 - Sinusoidal Oscillators"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## PageNumber 514 example 2"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
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"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"min frequency = 1769.29hertz\n",
"max frequency = 17692.85hertz\n",
"resistance r3 = 20000.00ohm\n"
]
}
],
"source": [
"macapa=900*10**-12##farad\n",
"micapa=90*10**-12##farad\n",
"r=100*10**3##ohm\n",
"#(a) frequency range\n",
"fremin=1/(2*3.14*r*macapa)\n",
"print \"min frequency = %0.2f\"%((fremin))+\"hertz\"\n",
"fremax=1/(2*3.14*r*micapa)\n",
"print \"max frequency = %0.2f\"%((fremax))+\"hertz\"\n",
"#(b) r3\n",
"r=10*10**3##ohm\n",
"r3=2*r\n",
"print \"resistance r3 = %0.2f\"%((r3))+\"ohm\""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## PageNumber 516 example 3"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"min voltage >= 7.50volt\n",
"frequency = 42379.83hertz\n"
]
}
],
"source": [
"from math import sqrt\n",
"c1=0.004*10**-6##farad\n",
"c2=0.03*10**-6##farad\n",
"induct=4*10**-3##henry\n",
"#min voltage\n",
"mivolt=c2/c1\n",
"print \"min voltage >= %0.2f\"%((mivolt))+\"volt\"\n",
"#frequency\n",
"freque=(((1/(2*3.14)))*sqrt((c1+c2)/(induct*c1*c2)))\n",
"print \"frequency = %0.2f\"%((freque))+\"hertz\""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## PageNumber 517 example 5"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"frequency = 166467.63hertz\n",
"ratio1 greater than 1 so oscillations possible\n"
]
}
],
"source": [
"induct=500*10**-6##henry\n",
"induc1=5000*10**-6##henry\n",
"mutuin=300*10**-6##henry\n",
"c1=150*10**-12##farad\n",
"#(a) frequency\n",
"indcto=induct+induc1+2*mutuin\n",
"freque=1/((2)*3.14*sqrt(indcto*c1))\n",
"#(b) condition\n",
"r=10*10**3##ohm\n",
"conduc=8*10**-3##ampere per volt\n",
"r1=50*10**3##ohm\n",
"r_=r*r1/(r+r1)\n",
"volgai=conduc*r_\n",
"print \"frequency = %0.2f\"%((freque))+\"hertz\"\n",
"ratio1=(induc1+mutuin)/(induct+mutuin)\n",
"ratio1=ratio1*volgai\n",
"print \"ratio1 greater than 1 so oscillations possible\""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## PageNumber 518 example 6"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"resonanting capacitance = 5.00e-14farad\n",
"resonant frequency = 1.42e+06hertz\n",
"parallel resonant frequency = 1.03e+06hertz\n",
"series resonant frequency = 1.01e+06hertz\n",
"quality factor = 3162.28\n",
"loop gain = 100.00\n",
"bias = 6.00e-05second\n"
]
}
],
"source": [
"cgs=5*10**-12##farad\n",
"cds=1*10**-12##farad\n",
"conduct=10*10**-3##ampere per volt\n",
"rd=50*10**3##ohm\n",
"r=10*10**6##ohm\n",
"induct=0.5##henry\n",
"c1=0.05*10**-12##farad\n",
"rse=1*10**3##ohm\n",
"c=1*10**-12##farad\n",
"#(1) c11\n",
"c11=((((cds*cgs)/(cds+cgs))+1)*c1)/(((cds*cgs)/(cds+cgs))+1+c1)\n",
"print \"resonanting capacitance = %0.2e\"%((c11))+\"farad\"\n",
"#(2) frequency\n",
"freque=((sqrt(2))/(2*3.14*sqrt(induct*c11)))\n",
"print \"resonant frequency = %0.2e\"%((freque))+\"hertz\"\n",
"#(3) frequency parallel\n",
"\n",
"freque=1/(2*3.14*sqrt(((induct*c*c1))/(c+c1)))\n",
"print \"parallel resonant frequency = %0.2e\"%((freque))+\"hertz\"\n",
"#frequency series\n",
"freque=1/((2*3.14*sqrt(induct*c1)))\n",
"print \"series resonant frequency = %0.2e\"%((freque))+\"hertz\"\n",
"qualit=((induct/c1)**(0.5))/rse\n",
"print \"quality factor = %0.2f\"%((qualit))\n",
"#correction required in book\n",
"#(4) loop gain\n",
"abeta1=conduct*rd*cds/cgs\n",
"print \"loop gain = %0.2f\"%((abeta1))\n",
"#(5)\n",
"w=r*(cds+cgs)\n",
"print \"bias = %0.2e\"%((w))+\"second\""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## PageNumber 519 example 7"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"frequency = 1.23e+06hertz\n",
"gain = 5.00\n"
]
}
],
"source": [
"from math import sqrt\n",
"c=200*10**-12##farad\n",
"c1=1000*10**-12##farad\n",
"induct=100*10**-6##henry\n",
"#(1) frequency\n",
"ceq=(c*c1)/(c+c1)\n",
"freque=1/(2*3.14*(sqrt(induct*ceq)))\n",
"print \"frequency = %0.2e\"%((freque))+\"hertz\"##correction in the book\n",
"gaimin=c1/c\n",
"print \"gain = %0.2f\"%((gaimin))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## PageNumber 520 example 8"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"inductance = 4.02e-05henry\n"
]
}
],
"source": [
"induc1=0.4*10**-3##henry\n",
"c=0.004*10**-6##farad\n",
"freque=120*10**3##hertz\n",
"induct=((1/(4*3.14**2*freque**2*c)))-induc1\n",
"print \"inductance = %0.2e\"%((induct))+\"henry\""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## PageNumber 520 example 9"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"frequency = 1087243.22hertz\n",
"ratio parallel series = 1.03\n",
"quality factor = 409.67\n"
]
}
],
"source": [
"from math import sqrt\n",
"induct=0.33##henry\n",
"c=0.065*10**-12##farad\n",
"c1=1*10**-12##farad\n",
"r=5.5*10**3##ohm\n",
"#(1) series resonant frequency\n",
"freque=(1/(2*(3.14)))*sqrt(1/((induct)*c))\n",
"print \"frequency = %0.2f\"%((freque))+\"hertz\"\n",
"#(2)exceed of frequency\n",
"ratio1=sqrt((1+(c/c1)))\n",
"print \"ratio parallel series = %0.2f\"%((ratio1))\n",
"#correction required in the book\n",
"#(3) quality factor\n",
"qualit=(1/r)*sqrt(induct/c)\n",
"print \"quality factor = %0.2f\"%((qualit))"
]
}
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