{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Prøve-eksamen i Fys1120 H2022 - eksempeloppgave 3\n",
    "\n",
    "Dette oppgavesettet tilsvarer en av to oppgaver som dere vil få til eksamen. (Denne oppgaven er liten, så den andre oppgaven vil være større). Hver oppgave på eksamen vil bestå av en Jupyter-notebook som dette. Dere arbeider med oppgaven i notebook'en og leverer notebook'en som en pdf file ved å lagre notebook'en og så laste den opp i inspera.\n",
    "\n",
    "Dere vil kunne får både teori-oppgaver, programmerings-oppgaver og diskusjons-oppgaver som del av eksamen. Alle svarene skal dere skrive i den samme notebook'en."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Krets drevet av en firkantpuls\n",
    "\n",
    "Vi skal i denne oppgaven studere kretsen som er vist i figuren under. Kretsen består av en spenningskilde, $U(t)$, en kondensator $C$ og en motstand $R$.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Oppgave (a)\n",
    "Anta at spenningskilden $U(t) = U_0$ er en konstant. Finn spenningen over kondensatoren etter svært lang tid."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(*Svar her*)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "__Løsning__\n",
    "Etter svært lang tid vil spenningen over kondensatoren svare til spenningen over spenningskilden, $U_0$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Oppgave (b)\n",
    "Finn en differensiallikning for spenningen $V_C$ over kondensatoren for en vilkårlig spenningskilde $U(t)$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(*Svar her*)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "__Løsning__ Vi bruker Kirchoffs spenningslov\n",
    "$$U(t) - RI - V_C = 0$$\n",
    "Her er $V_C = Q/C$. Strømmen $I$ er gitt som $dQ/dt$ slik at $dV_c/dt = (1/C)dQ/dt = I/C$ slik at $I = C dV_C/dt$. Vi setter dette inn i likningen\n",
    "$$U(t) - RC \\frac{dV_C}{dt} - V_C = 0$$\n",
    "Likningen for $V_C$ blir derfor \n",
    "$$\\frac{d V_C}{dt} = \\frac{1}{RC}\\left( U(t) - V_C \\right)$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Oppgave (c)\n",
    "Finn $V_C(t)$ når spenningskilden er en firkantpuls:\n",
    "$$U(t) = \\text{sign}(\\sin \\omega t)$$\n",
    "hvor $\\text{sign}(x) = +1$ når $x>0$ og $-1$ når $x<0$. Ved tiden $t=0$ er $I=0$. Du kan dessuten bruke at $R = 100$Ohm, $C = 10^{-3}$F, og $\\omega = 2 \\pi /T$ hvor $T = 1.0$s.\n",
    "Skriv et program som finner strømmen og visualiser denne for et passende tidsintervall."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Svar her"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Løsning\n",
    "# Vi løser diff-likningen dV/dt = (U-V)/(RC)\n",
    "# ved Eulers metode \n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "R = 100.0\n",
    "C = 1.0e-3\n",
    "RC = 0.1\n",
    "T = 1.0\n",
    "omega = 2*np.pi/T\n",
    "dt = 0.0001\n",
    "time = 10.0\n",
    "n = int(time/dt)\n",
    "V = np.zeros(n)\n",
    "t = np.zeros(n)\n",
    "for i in range(n-1):\n",
    "    U = np.sign(np.sin(omega*t[i]))\n",
    "    V[i+1] = V[i] + dt*(U-V[i])/RC\n",
    "    t[i+1] = t[i] + dt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f9e002026d0>]"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(t,V)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
