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	   "source": [
       "# Chapter 22: Electric Charge"
	   ]
	},
{
		   "cell_type": "markdown",
		   "metadata": {},
		   "source": [
			"## Example 22.1: Sample_Problem_1.sce"
		   ]
		  },
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"source": [
"exec('electrostatics.sci', -1)\n",
"exec('degree_rad.sci', -1)\n",
"\n",
"//Given that\n",
"q1 = 1.60*10^-19  //in C\n",
"q2 = 3.20*10^-19  //in C\n",
"R = 0.0200  //in meter\n",
"\n",
"//Sample Problem 22-1a\n",
"printf('**Sample Problem 22-1a**\n')\n",
"F12 = coulomb(q1, q2, R)\n",
"printf('The coulombic force between the charged particle is %eN\n', F12)\n",
"\n",
"//Sample Problem 22-1b\n",
"printf('\n**Sample Problem 22-1b**\n')\n",
"q3 = -3.20*10^-19  //in C\n",
"R13 = 3/4*R\n",
"F1 = coulomb(q1, q3, R13) + F12\n",
"printf('The net force on particle 1 is equal to %eN\n', abs(F1))\n",
"\n",
"//Sample Problem 22-1c\n",
"printf('\n**Sample Problem 22-1c**\n')\n",
"q4 = -3.20*10^-19  //in C\n",
"R14 = 3/4*R\n",
"theta = dtor(60)\n",
"F14 = coulomb(q1, q4, R14)\n",
"F1net = [F12+F14*cos(theta), F14*sin(theta)]\n",
"printf('The net force on particle 1 is equal to %eN', norm(F1net))"
   ]
   }
,
{
		   "cell_type": "markdown",
		   "metadata": {},
		   "source": [
			"## Example 22.2: Sample_Problem_2.sce"
		   ]
		  },
  {
"cell_type": "code",
	   "execution_count": null,
	   "metadata": {
	    "collapsed": true
	   },
	   "outputs": [],
"source": [
"exec('electrostatics.sci', -1)\n",
"\n",
"//Given that\n",
"q = 1  //(say)\n",
"q1 = 8*q\n",
"q2 = -2*q\n",
"L = 1  //(say)\n",
"x = L\n",
"\n",
"//Sample Problem 22-2\n",
"printf('**Sample Problem 22-2**\n')\n",
"//let the distance of proton from q1 is y\n",
"//We know that y>L\n",
"y = poly(0, 'y')\n",
"F1 = coulomb(q1, e, y)\n",
"F2 = coulomb(q2, e, y-L)\n",
"p = F1 + F2\n",
"r = roots(denom(inv(p)))\n",
"printf('the proton should be placed at a distance %1.1fL from q1', r(2))"
   ]
   }
,
{
		   "cell_type": "markdown",
		   "metadata": {},
		   "source": [
			"## Example 22.3: Sample_Problem_3.sce"
		   ]
		  },
  {
"cell_type": "code",
	   "execution_count": null,
	   "metadata": {
	    "collapsed": true
	   },
	   "outputs": [],
"source": [
"exec('electrostatics.sci', -1)\n",
"\n",
"//Given that\n",
"Q = 1  //(say)\n",
"q1 = Q\n",
"q2 = 0\n",
"a = 1  //(say)\n",
"\n",
"//Sample Problem 22-3a\n",
"printf('**Sample Problem 22-3a**\n')\n",
"q1 = (q1 + q2)/2\n",
"q2 = q1\n",
"F = coulomb(q1, q2, a)\n",
"printf('The net force between the two sphere is %eQ^2/a^2\n', F)\n",
"\n",
"\n",
"//Sample Problem 22-3b\n",
"printf('\n**Sample Problem 22-3b**\n')\n",
"q1 = 0\n",
"F = coulomb(q1, q2, a)\n",
"printf('The net force between the two sphere is %fN', F)"
   ]
   }
,
{
		   "cell_type": "markdown",
		   "metadata": {},
		   "source": [
			"## Example 22.4: Sample_Problem_4.sce"
		   ]
		  },
  {
"cell_type": "code",
	   "execution_count": null,
	   "metadata": {
	    "collapsed": true
	   },
	   "outputs": [],
"source": [
"exec('electrostatics.sci', -1)\n",
"exec('gravitation.sci', -1)\n",
"\n",
"//Given that\n",
"r = 4*10^-15  //in meter\n",
"n = 26\n",
"mp = 1.67*10^-27  //in kg\n",
"\n",
"//Sample Problem 22-4a\n",
"printf('**Sample Problem 22-4a**\n')\n",
"Fpp = coulomb(e, e, r)\n",
"printf('The force of repulsion is %eN\n', Fpp)\n",
"\n",
"//Sample Problem 22-4b\n",
"printf('\n**Sample Problem 22-4b**\n')\n",
"Fg = GForce(mp, mp, r)\n",
"printf('The magnitude of gravitational force between two proton is %eN', Fg)"
   ]
   }
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