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{
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{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Chapter 26:CHARGE AND MATTER"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"##Example 26.1 Magnitude of total charges in a copper penny"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" Magnitude of the charges in coulombs is 133687.50000000003\n"
]
}
],
"source": [
"#Example 1.1\n",
"\n",
"m =3.1 #mass of copper penny in grams\n",
"e =4.6*10** -18 #charge in coulombs\n",
"N0 =6*10**23 #avogadro’s number atoms / mole\n",
"M =64 #molecular weight of copper in gm/ mole\n",
"\n",
"#Calculation\n",
"N =( N0 * m ) / M #No. of copper atoms in penny\n",
"q = N * e # magnitude of the charges in coulombs\n",
"print (\" Magnitude of the charges in coulomb is \",q )"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"##Example 26.2 Separation between total positive and negative charges"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" Separation between total positive and negative charges in meters is 5813776741.499454\n"
]
}
],
"source": [
"#Example 2\n",
"\n",
"import math\n",
"\n",
"F =4.5 #Force of attraction in nt\n",
"q =1.3*10**5 #total charge in coulomb\n",
"r = q * math.sqrt ((9*10**9) / F ) ;\n",
"print(\" Separation between total positive and negative charges in meters is \",r )"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"##Example 26.3 Force acting on charge q1"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"X component of resultant force acting on q1 in nt is 2.0999999999999996\n",
"Y component of resultant force acting on q1 in nt is -1.5588457268119893\n"
]
}
],
"source": [
"#Example 3\n",
"\n",
"import math\n",
"\n",
"#given three charges q1,q2,q3\n",
"q1=-1.0*10**-6 #charge in coul\n",
"q2=+3.0*10**-6 #charge in coul\n",
"q3=-2.0*10**-6 #charge in coul\n",
"r12=15*10**-2 #separation between q1 and q2 in m\n",
"r13=10*10**-2 # separation between q1 and q3 in m\n",
"angle=math.pi/6 #in degrees\n",
"F12=(9.0*10**9)*q1*q2/(r12**2) #in nt\n",
"F13=(9.0*10**9)*q1*q3/(r13**2) #in nt\n",
"F12x=-F12 #ignoring signs of charges\n",
"F13x=F13*math.sin(angle);\n",
"F1x=F12x+F13x\n",
"F12y=0 #from fig.263\n",
"F13y=-F13*math.cos(angle);\n",
"F1y=F12y+F13y #in nt\n",
"print(\"X component of resultant force acting on q1 in nt is\",F1x)\n",
"print(\"Y component of resultant force acting on q1 in nt is\",F1y)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"##Example 26.4 Electrical and Gravitational force between two particles"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Coulomb force in nt is 8.202207191171238e-08\n",
"Gravitational force in nt is 3.689889640441438e-47\n"
]
}
],
"source": [
"#Example 4\n",
"\n",
"r=5.3*10**-11 #distance between electron and proton in the hydrogen atom in meter\n",
"e=1.6*10**-19 #charge in coul\n",
"G=6.7*10**-11 #gravitatinal constant in nt-m2/kg2\n",
"m1=9.1*10**-31 #mass of electron in kg\n",
"m2=1.7*10**-27 #mass of proton in kg\n",
"F1=(9*10**9)*e*e/(r**2) #coulomb's law\n",
"F2=G*m1*m2/(r**2) #gravitational force\n",
"print(\"Coulomb force in nt is\",F1)\n",
"print(\"Gravitational force in nt is\",F2)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"##Example 26.5 Repulsive force between two protons in a nucleus of iron"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Repulsive coulomb force F 14.4 nt\n"
]
}
],
"source": [
"#Example 5\n",
"\n",
"r=4*10**-15 #separation between proton annd nucleus in iron in meters\n",
"q=1.6*10**-19 #charge in coul\n",
"F=(9*10**9)*(q**2)/(r**2) #coulomb's law\n",
"print(\"Repulsive coulomb force F \",F,'nt')"
]
}
],
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|
