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{
"metadata": {
"name": "",
"signature": "sha256:07d1a1891f05681129f5b923a45c9d13a9e8c4e25902a3f29878a40044aa6a7c"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Chapter 3 : Circuit Laws"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 3.3 Page No : 45"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math \n",
"\n",
"# Given\n",
"#Equivalent resistance of three resistors is 750 ohm\")\n",
"#values of two resistors are 40 ohm and 410 ohm\")\n",
"Req = 750;\n",
"R1 = 40;\n",
"R2 = 410;\n",
"\n",
"#For series resistance \n",
"#Req = R1+R2+R3\")\n",
"#On solving for R3\n",
"R3 = Req-R1-R2\n",
"print \"Value of third ohmic resistor is %d ohm\"%(R3)\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Value of third ohmic resistor is 300 ohm\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 3.4 Page No : 49"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math \n",
"#Example 3.4\")\n",
"# Given\n",
"#values of two capacitors are 2uF and 10uF\")\n",
"C1 = 2*10**-6;\n",
"C2 = 10*10**-6;\n",
"#For two capacitors in series\n",
"#Ceq = (C1*C2)/(C1+C2)\")\n",
"#On solving for Ceq\n",
"Ceq = ((C1*C2)/(C1+C2))*10**6\n",
"print \"Value of equivalent capacitance is %3.2fuF\"%(Ceq)\n",
"\n",
"#If C2 = 10pF\")\n",
"C2 = 10*10**-12;\n",
"\n",
"Ceq = ((C1*C2)/(C1+C2))*10**12\n",
"print \"Value of equivalent capacitance is %3.2fpF\"%(Ceq)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Value of equivalent capacitance is 1.67uF\n",
"Value of equivalent capacitance is 10.00pF\n"
]
}
],
"prompt_number": 2
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 3.5 Page No : 53"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math \n",
"#Example 3.5\")\n",
"# Given\n",
"#a)\")\n",
"#values of two resistors are 60 ohm and 60 ohm\")\n",
"R1 = 60;\n",
"R2 = 60.;\n",
"#If resistors are parallel\")\n",
"Req = (R1*R2)/(R1+R2)\n",
"print \"Value of equivalent resistance is %d ohm\"%(Req)\n",
"\n",
"#b)\")\n",
"#values of three equal resistors are 60 ohm\")\n",
"R1 = 60.;\n",
"R2 = 60.;\n",
"R3 = 60.;\n",
"#If resistors are parallel\")\n",
"x = 1/R1+1/R2+1/R3\n",
"Req = 1/x;\n",
"print \"Value of equivalent resistance is %d ohm\"%(Req)\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Value of equivalent resistance is 30 ohm\n",
"Value of equivalent resistance is 20 ohm\n"
]
}
],
"prompt_number": 3
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 3.6 Page No : 55"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math \n",
"#Example 3.6\")\n",
"\n",
"# Given\n",
"#values of two inductors are 3mH and 6 mH\")\n",
"L1 = 3*10**-3;\n",
"L2 = 6*10**-3;\n",
"#If inductors are parallel\")\n",
"Leq = ((L1*L2)/(L1+L2))*10**3\n",
"print \"Value of equivalent inductance is %3.1f mH\"%(Leq)\n",
"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Value of equivalent inductance is 2.0 mH\n"
]
}
],
"prompt_number": 4
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 3.7 Page No : 60"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math \n",
"#Example 3.7\")\n",
"\n",
"# Given\n",
"#Total resistance of three resistors is 50 ohm\")\n",
"R = 50;\n",
"#Output voltage is 10 percent of the input voltage\")\n",
"#Let v be input voltage and v1 be output voltage\n",
"#Let v1/v = V\n",
"V = 0.1;\n",
"#As V = R1/(Total resistance)\n",
"\n",
"#Solving for R1\n",
"R1 = V*R;\n",
"#As R = R1+R2\n",
"#Solving for R2\n",
"R2 = R-R1;\n",
"\n",
"# Results\n",
"print \"R1 = %dohm R2 = %dohm\"%(R1,R2)\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"R1 = 5ohm R2 = 45ohm\n"
]
}
],
"prompt_number": 5
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 3.8 Page No : 65"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math \n",
"#Example 3.8\")\n",
"\n",
"# Given\n",
"#Total current is 30mA\")\n",
"#Branch currents are 20mA and 10mA\")\n",
"#Equivalent resistance is equal to or greater than 10 ohm\")\n",
"\n",
"#From Fig 3.6\n",
"#Current flowing through R1 be i1 and let it be equal to 10mA\n",
"#Current flowing through R2 be i2 and let it be equal to 20mA\n",
"i1 = 10*10**-3;\n",
"i2 = 20*10**-3;\n",
"i = 30*10**-3;\n",
"\n",
"# Calculation\n",
"#Let R1/(R1+R2) = X1 (1)\n",
"#Let R2/(R1+R2) = X2 (2)\n",
"X1 = i1/i;\n",
"X2 = i2/i;\n",
"#Let R1*R2(R1+R2) = Y (3)\n",
"\n",
"# Results\n",
"#Given that \n",
"print \" Given\"\n",
"#R1*R2(R1+R2)> = 10\")\n",
"#Solving (1),(2) and (3) we get\n",
"print \"R1> = %dohmR2> = %dohm\"%(15,30)\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
" Given\n",
"R1> = 15ohmR2> = 30ohm\n"
]
}
],
"prompt_number": 6
}
],
"metadata": {}
}
]
}
|
