{ "nbformat": 4, "nbformat_minor": 0, "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": "3.7.3" }, "colab": { "name": "oe1_Q_i.ipynb", "provenance": [], "collapsed_sections": [], "toc_visible": true, "include_colab_link": true } }, "cells": [ { "cell_type": "markdown", "metadata": { "id": "view-in-github", "colab_type": "text" }, "source": [ "\"Open" ] }, { "cell_type": "markdown", "metadata": { "id": "kUUdMHsB1Z9D", "colab_type": "text" }, "source": [ "\n", "# Uporaba Jupyer online zvezka za izračune in izrise grafov\n", "(primer izrisa Toka in Naboja kot funkcije časa)\n", "\n", "

\n", " Dejan Križaj, 2019 \n", "

\n", "\n", "\n", "
\n", "\n", "**Namen:** Z izvajanjem in študijem primerov v tem zvezku se boste naučili uporabljati Jupyter zvezek za izračune funkcij in različne načine njihove grafične predstavitve. \n", "\n", "\n", "
\n", "
\n", "Namig: Obstajata dve verziji tega dokumenta. Ena je v obliki html datoteke (končnica html), ki je ni mogoče izvajati, druga pa ima končnico ipny (Jupyter Notebook), ki jo lahko izvajamo z Jupyter aplikacijo. To aplikacijo imate lahko naloženo na vašem računalniku in se izvaja v brskalniku, lahko jo ogledujete s spletno aplikacijo nbViewer, s spletnimi aplikacijami Binder ali Google Colab pa jo lahko tudi zaganjate in spreminjate. Več o tem si preberite v \n", "tem članku.\n", "
\n", "Za izvajanje tega zvezka ne potrebujete posebnega znanja programiranja v Pythonu, lahko pa poljubno spreminjate kodo in se sproti učite tudi uporabe programskega jezika. Več podobnih primerov je na Githubu \n", "
\n", "\n", "\n", "
\n", " Način izvajanja: S klikom na tekst se ga lahko editira, s Ctrl Enter se zažene eno celico, z Runtime/Run all pa se osveži celoten zvezek (notebook). Ker se pogosto izvajanje naslednje celice navezuje na rešitev prejšnje, jih je potrebno zagnati eno za drugo ali pa vse naenkrat.\n", "\n", "
\n", "\n", "(Po potrebi poglej https://colab.research.google.com/notebooks/welcome.ipynb za osnovne informacije o uporabi Colab-a.)\n", "\n", "\n", "
\n", "\n", " Sproti rešuj male \"programerske\" izzive in se nauči dela z Jupytrom. \n", "
\n", "\n", "***\n" ] }, { "cell_type": "markdown", "metadata": { "id": "Y7D6sf99i0n-", "colab_type": "text" }, "source": [ "### Predpriprava za začetnike - Supernakratko o nizih (vektorjih) \n", "Želimo narediti niz vrednosti in izračunati funkcijo za te vrednosti. Na primer, niz (ali vektor) z vrednostmi od 0 do 5 naredimo preprosto takole: \n", "x=[0,1,2,3,4]. Ta izraz lahko preiskusiš tako, da narediš novo celico (klikneš +Code) in zaženeš z Ctrl-Enter. Izgleda, kot da se ni zgodilo nič, v resnici se je ukaz izvedel in v x so spravljene vrednosti kot zapisano. To lahko preveriš tako, da pod to vrstico napišeš x ali display(x) ali print(x) in izpisala se bo vrednost x-a. Nize (vektorje) naredimo pogosto z ukazi kot npr. y=range(4). Toda pozor: python začne šteti z 0 in ne 1. Range(4) torej naredi niz štirih vrednosti, 0,1,2,3. Vrednost posameznega elementa v nizu dobimo z y[indeks], kjer ima lahko indeks vrednosti od 0 do 3. Lahko uporabimo tudi ukaz arange iz modula Numpy, npr. z=np.arange(0,11,2), ki naredi niz od 0 do 10 s korakom 2. Podoben je ukaz s=np.linspace(0,10,6), ki naredi niz od 0 do 10 razdeljen na 6 \n", "števil z enakim razmikom. Na nizih lahko delamo enake operacije, kot bi jih delali s številom. Npr. ukaz p=2*s+3 pomnoži vse vrednosti niza s z 2 in jim prišteje 3.\n", "\n", "In še beseda o matematičnih funkcijah. Običajno jih vsebuje modul Numpy. Npr. np.pi vrne vrednosti $\\pi$, np.sin(x) vrne sinus x-a, np.exp(x) vrednost(i) eksponentne funkcije, itd. Če je x niz, bo niz tudi rezultat operacije. " ] }, { "cell_type": "code", "metadata": { "id": "LSb-PtsafRdk", "colab_type": "code", "outputId": "1c5e38e2-65a5-4387-be1a-c1975acb3d80", "colab": { "base_uri": "https://localhost:8080/", "height": 167 } }, "source": [ "# Če poznaš osnove nizov, boš to preskočil\n", "# To je komentar, izpisi ukaza print so v naslednji celici\n", "\n", "# Različni načini kreiranja nizov \n", "x=[0,1,2,3,4]\n", "print(x) # izpiše [0, 1, 2, 3, 4]\n", "y=range(4)\n", "print(y)\n", "print(y[3]) # izpiše četrto vrednost v nizu, saj začne python šteti od 0 in ne od 1\n", "\n", "import numpy as np # vnos modula numpy, ukaze se naslavlja z np.ukaz\n", "y=np.arange(5) # podobno kot range, samo s knjižnico numpy\n", "display(y) # isto kot print\n", "z=np.arange(0,11,2) # niz od 0 do 11 po koraku 2\n", "print(z)\n", "s=np.linspace(0,10,6) # niz od 0 do 10 s 6 vrednostmi, rezultat torej [ 0 2 4 6 8 10]\n", "print(s)\n", "p=2*s+3 # vse vrednosti v nizu pomnožimo z 2 in prištejemo 3\n", "print(p)\n", "a=np.sin(x) # sinus pač, x je v radianih\n", "print(a)\n", "b=np.exp(x) # eksponentna funkcija ...\n", "print(b)" ], "execution_count": 0, "outputs": [ { "output_type": "stream", "text": [ "[0, 1, 2, 3, 4]\n", "range(0, 4)\n", "3\n" ], "name": "stdout" }, { "output_type": "display_data", "data": { "text/plain": [ "array([0, 1, 2, 3, 4])" ] }, "metadata": { "tags": [] } }, { "output_type": "stream", "text": [ "[ 0 2 4 6 8 10]\n", "[ 0. 2. 4. 6. 8. 10.]\n", "[ 3. 7. 11. 15. 19. 23.]\n", "[ 0. 0.84147098 0.90929743 0.14112001 -0.7568025 ]\n", "[ 1. 2.71828183 7.3890561 20.08553692 54.59815003]\n" ], "name": "stdout" } ] }, { "cell_type": "markdown", "metadata": { "id": "H8xTjlX2sRo2", "colab_type": "text" }, "source": [ " Zdaj pa ti: \n", "* Izdelaj niz vrednosti x od 0 do $2\\pi$ z 20 točkami in izračunaj $y=2\\sin(x)$. Rešitev je na koncu zvezka.\n", "* Naredi niz (vektor) t, ki bo imel vrednosti od 0 do 30, s korakom po 0.1. Nato naredi še niz Q, ki bo ustrezal funkciji $Q(t) = 5\\left( {1 - {e^{ - \\frac{t}{{10}}}}} \\right)$. Za rešitev poglej spodnjo celico z izračunom in izrisom." ] }, { "cell_type": "code", "metadata": { "id": "sLH0pdeoX2Dj", "colab_type": "code", "colab": {} }, "source": [ "" ], "execution_count": 0, "outputs": [] }, { "cell_type": "markdown", "metadata": { "id": "Wuf61xHPOIJi", "colab_type": "text" }, "source": [ "## Izračun in izris toka kot funkcije časa v grafu\n", "\n", "Jupyter je zasnovan na programskem jeziku Python. Za matematične operacije pogosto uporabljamo knjižnico Numpy, za izrise pa knjižnico Matplotlib. Pred začetkom dela je potrebno v kodo vnesti knjižnice (module), ki jih želimo uporabljati." ] }, { "cell_type": "markdown", "metadata": { "id": "akR2AFsreu_g", "colab_type": "text" }, "source": [ "## Naboj v odvisnosti od časa in tok kot odvod naboja po času\n", "\n", "Za primer bomo vzeli elektrenje kondenzatorja s tokom. Izkaže se, da je to elektrenje eksponentna funkcija, odvisna od časovne konstante $\\tau=RC$. \n", "\n", "Izrisali bomo naboj kot funkcijo časa\n", "\n", "$Q(t) = 5\\left( {1 - {e^{ - \\frac{t}{{10{\\rm{\\: s}}}}}}} \\right){\\rm{mC}}$\n", "\n", "ter tok kot odvod naboja po času\n", "\n", "$i(t) =\\frac{d Q}{dt}=0.5{e^{-t/10 \\: \\rm s}} \\: \\rm mA $\n" ] }, { "cell_type": "code", "metadata": { "id": "VTMmnQDfe6RJ", "colab_type": "code", "colab": {} }, "source": [ "# vnos potrebnih knjižnic, matplotlib za grafe in numpy za matematične operacije\n", "#%matplotlib inline # potreben ukaz, da se slike izrišejo v notebooku\n", "# ko smo enkrat knjižnico (modul) zagnali z ukazom import, to velja za vse celice v zvezku\n", "import matplotlib\n", "import matplotlib.pyplot as plt\n", "import numpy as np # np bo okrajšava za ukaze iz knjižnice numpy " ], "execution_count": 0, "outputs": [] }, { "cell_type": "markdown", "metadata": { "id": "V6djPmic1BLs", "colab_type": "text" }, "source": [ "### Najpreprostejši način izračuna in izrisa" ] }, { "cell_type": "code", "metadata": { "id": "smUaQQFq0-Gy", "colab_type": "code", "outputId": "3652ecb5-d48d-4c1c-8aa7-c60c399d01d2", "colab": { "base_uri": "https://localhost:8080/", "height": 295 } }, "source": [ "# kreiranje časovnega niza od 0 do 30 s korakom 0.1\n", "t = np.arange(0.0, 30.0, 0.1) # np. pomeni, da gre za uporabo funkcije iz knjižnice numpy\n", "# Izračun naboja\n", "Q = 5*(1-np.exp(-t/10))\n", "\n", "# Priprava slike\n", "plt.figure() # plt. pomeni, da gre za uporabo knjižnice matplotlib\n", "plt.plot(t, Q) # izris, kje kjer je t na X osi in Q na Y osi\n", "\n", "# oblikovanje slike\n", "plt.xlabel('Čas (s)')\n", "plt.ylabel('Naboj (mC)') \n", "plt.title('Naboj v odvisnosti od časa')\n", "plt.show()" ], "execution_count": 0, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "markdown", "metadata": { "id": "Ka-dUK-l1Ws5", "colab_type": "text" }, "source": [ "### Nekoliko drugačen način - subplot\n", "\n", "Subplot omogoča več načinov izrisa in naslavljanja grafov." ] }, { "cell_type": "code", "metadata": { "id": "kqn1-1GN1Z9G", "colab_type": "code", "outputId": "2bdf2c60-ab06-4ac6-f3c8-8e89442f34c8", "colab": { "base_uri": "https://localhost:8080/", "height": 295 } }, "source": [ "# kreiranje časovnega niza od 0 do 30 s korakom 0.1\n", "t = np.arange(0.0, 30.0, 0.1)\n", "# Izračun naboja\n", "Q = 5*(1-np.exp(-t/10))\n", "\n", "# Priprava slike\n", "fig, ax = plt.subplots()\n", "ax.plot(t, Q)\n", "\n", "ax.set(xlabel='čas (s)', ylabel='Naboj (mC)', # Označitev osi\n", " title='Naboj v odvisnosti od časa')\n", "ax.grid()\n", "plt.show()" ], "execution_count": 0, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "markdown", "metadata": { "id": "v6k3F3RZYFix", "colab_type": "text" }, "source": [ " Zdaj pa ti: \n", "* Spremeni kodo tako, da boš namesto naboja kot funcijo časa izrisal krivuljo toka kot funkcijo časa. \n", "* Spremeni kodo tako, da boš izrisal krivuljo za čase od 0 do 50 s.\n", "* Spremeni kodo tako, da dodaš enako krivuljo, ki pa bo dodala le pike v redkih točkah. Namig: kreiraj še en niz z manj točkami in izračunaj Q za ta niz in ga izriši z dodanim ukazom ax.plot(t1,Q1,'o'). (Rešitev je na koncu zvezka)\n" ] }, { "cell_type": "markdown", "metadata": { "id": "4CQGuyb83Tup", "colab_type": "text" }, "source": [ "## Hkraten izris toka in naboja na enem grafu\n", "\n" ] }, { "cell_type": "code", "metadata": { "id": "OVYDLAPzCduC", "colab_type": "code", "outputId": "6a5b1ddc-633b-41d2-e99d-20267efeb7dd", "colab": { "base_uri": "https://localhost:8080/", "height": 295 } }, "source": [ "# vnos knjižnic in izračun naboja smo opravili že v prejšnji celici\n", "# dodamo še izračun toka\n", "i=0.5*np.exp(-t/10)\n", "# Priprava slike\n", "fig, ax = plt.subplots()\n", "ax.plot(t, Q, label=\"$Q(t)$\") # oznake so lahko LaTex oblike\n", "ax.plot(t, i, label=\"$i(t$)\")\n", "# pozicioniranje legende\n", "ax.legend(bbox_to_anchor=(0.8,.5), loc='upper left', borderaxespad=0.) \n", "\n", "ax.set(xlabel='čas (s)', ylabel='Naboj in Tok',\n", " title='Naboj in tok v odvisnosti od časa')\n", "ax.grid()\n", "plt.show()" ], "execution_count": 0, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "markdown", "metadata": { "id": "idcSK_8BgZsd", "colab_type": "text" }, "source": [ " Zdaj pa ti: \n", "* preoblikuj obliko krivulj, na primer barvo, debelino, črtkano črto itd. Pri tem si pomagaj s primeri na strani https://matplotlib.org/3.1.1/tutorials/introductory/pyplot.html ali spremeni ustrezno tole vrstico plt.plot( x,y, marker='o', markerfacecolor='blue', markersize=12, color='skyblue', linewidth=4)\n" ] }, { "cell_type": "markdown", "metadata": { "id": "JWunXwxYN3oG", "colab_type": "text" }, "source": [ "## Izris dveh krivulj na enem grafu z ločenima osema\n", "\n", "V prejšnjem primeru smo izrisali obe krivulji na istem grafu. Ker imata tok in naboj različne enote, je bolj primerno izrisati vsako krivuljo na svoji osi. Ena varianta je, da izrišemo na istem grafu dve krivulji vendar z različnima ordinatnima osema." ] }, { "cell_type": "code", "metadata": { "id": "4tUi8TQVCdft", "colab_type": "code", "outputId": "2cf5b3ab-17e2-4fc8-a10d-6b3ad8a6d488", "colab": { "base_uri": "https://localhost:8080/", "height": 281 } }, "source": [ "fig, ax1 = plt.subplots()\n", "\n", "color = 'tab:red'\n", "ax1.set_xlabel('Čas (s)')\n", "ax1.set_ylabel('Naboj (mC)', color=color)\n", "ax1.plot(t, Q, color=color)\n", "ax1.tick_params(axis='y', labelcolor=color)\n", "ax1.grid(axis='x')\n", "ax1.text(2, 2, r'$Q(t)$', fontsize=12) # dodamo tekst na pozicijo x=2, y=2. Tekst je v obliki Latex formule, ker je znotraj $$\n", "\n", "ax2 = ax1.twinx() # x os za drugi plot naj bo enaka x osi prvega plota\n", "color = 'tab:blue'\n", "ax2.set_ylabel('Tok (mA)', color=color) \n", "ax2.plot(t, i, color=color)\n", "ax2.tick_params(axis='y', labelcolor=color)\n", "plt.show()" ], "execution_count": 0, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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7N4nvv0/w5dp3JiqE8Ag5OAfyfJnTG5idd3yWc35j2QzGRcB0YInRbis+Y15T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\niLOngXl6s3WT3mxd6Ko8da9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" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "markdown", "metadata": { "id": "RS3GlV1hjgIC", "colab_type": "text" }, "source": [ " Zdaj pa ti: \n", "* Z ax1.text smo dodali tekst Q(t) nad krivuljo, glede na koordinate krivulje. Q(t) je znotraj znakov $$, ker se jih vpisuje kot enačbo. Dodaj še i(t) na ustrezno mesto na grafu. Namig: Lahko dodamo še en ukaz ax1.text, s tem, da bo za kooridato lokacije upoštevana Y os od prvega plota. Če dodamo ukaz ax2.text, bo upoštevana Y os od drugega plota.\n", "* Namesto, da vpišemo koordinate lokacije teksta, lahko lokacijo določimo z indeksom v nizu časa in funkcije, torej kot t[indeks],Q[indeks]. Če imamo označene krivulje s tekstom, ne potrebujemo različnih barv. To je včasih koristno, npr. pri črno-belem tiskanju. (Rešitev je na koncu zvezka)\n" ] }, { "cell_type": "markdown", "metadata": { "id": "USjq1N7rny2N", "colab_type": "text" }, "source": [ "## Izris obeh krivulj v ločenih grafih\n", "Namesto na enem grafu z dvema različnima osema narišimo krivulji v dveh grafih, npr. enega pod drugim. Pri tem dodamo še eno x os z manj točkami, ki omogoča izris krivulje in simbolov na krivulji. (Če bi izrisali simbole na originalni x osi, bi se prekrivali in bi delovalo kot ena debela črta. Če pa bi izrisali funkcijo le v malo točkah, ne bi delovala dovolj zvezno.)" ] }, { "cell_type": "code", "metadata": { "id": "gZakmV-Hn4tG", "colab_type": "code", "outputId": "d4f0ad30-2e7f-4765-9761-28f97e9b21b2", "colab": { "base_uri": "https://localhost:8080/", "height": 295 } }, "source": [ "t1 = np.arange(0.0, 30.0, 5)\n", "# Izračun naboja in toka v manj točkah\n", "Q1= 5*(1-np.exp(-t1/10))\n", "i1= 0.5*np.exp(-t1/10)\n", "\n", "plt.figure()\n", "plt.subplot(211)\n", "plt.plot(t, Q, 'k', t1, Q1, 'bo')\n", "plt.ylabel('Naboj (mC)')\n", "plt.title('Naboj in tok v odvisnosti od časa')\n", "plt.grid()\n", "\n", "plt.subplot(212)\n", "plt.plot(t, i, 'k', t1, i1, 'bo')\n", "plt.ylabel('Tok (mA)')\n", "plt.xlabel('čas (s)')\n", "\n", "plt.grid()\n", "plt.show()" ], "execution_count": 0, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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VW3wclzEenTx5kvXr1zN//nzmz5/PokWL2L59hcd5ReLZv/83oqKiKjhKY06PTxOBqj4B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\n2R6nbje3jnevj+MpNVXd4/zzngTeI0D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" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "markdown", "metadata": { "id": "KvK0uQUmw5gl", "colab_type": "text" }, "source": [ " Zdaj pa ti: \n", "* Včasih je primerno postaviti tudi en graf poleg drugega. Nadomesti plt.subplot(211) in plt.subplot(212) z plt.subplot(121) in plt.subplot(122).\n", "* Če je graf premajhen, ga povečaj z dodatkom figsize: npr. plt.figure(figsize=(15, 8)). Potem je potrebno ustrezno popraviti tudi označevanje osi. Dodatno: za vse grafe v zvezku se spremeni nastavitve velikosti grafov z plt.rcParams[\"figure.figsize\"] = (10,10)\n", "* Več o subplots na https://jakevdp.github.io/PythonDataScienceHandbook/04.08-multiple-subplots.html \n", "\n" ] }, { "cell_type": "code", "metadata": { "id": "RothXFoVo2wx", "colab_type": "code", "outputId": "154ef1f2-bd5f-448c-cb4b-ba23dd9ce0cc", "colab": { "base_uri": "https://localhost:8080/", "height": 554 } }, "source": [ "t1 = np.arange(0.0, 30.0, 5)\n", "\n", "# Izračun naboja in toka v manj točkah\n", "Q1= 5*(1-np.exp(-t1/10))\n", "i1= 0.5*np.exp(-t1/10)\n", "\n", "plt.figure(figsize=(15, 8))\n", "plt.subplot(121)\n", "plt.plot(t, Q, 'k', t1, Q1, 'bo')\n", "plt.xlabel('čas (s)')\n", "plt.ylabel('Naboj (mC)')\n", "plt.title('Naboj v odvisnosti od časa')\n", "plt.grid()\n", "\n", "plt.suptitle('Graf naboja na levi in toka na desni')\n", "\n", "plt.subplot(122)\n", "plt.plot(t, i, 'k', t1, i1, 'bo')\n", "plt.ylabel('Tok (mA)')\n", "plt.xlabel('čas (s)')\n", "\n", "plt.grid()\n", "plt.show()" ], "execution_count": 0, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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7h9DSwFPDy/Z+BizD487OcHwBQsvwNoU/zg5vO6IS8P3xgrj7IWAiodmwroRmjH7J4vBN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\ncuX647ZcuaR+/X5TvXr11L9/f5UqVUrdunXT5s2b/YRERIm54jZz5kx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" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "markdown", "metadata": { "id": "N6TcMKwOzlda", "colab_type": "text" }, "source": [ "## Več krivulj na enem grafu z različnimi parametri\n", "\n", "Pogosto nas zanima, kako določen parameter vpliva na spremembo oblike krivulje. Obstaja več načinov, kako to narediti." ] }, { "cell_type": "code", "metadata": { "id": "7_7p8mTC0Rsx", "colab_type": "code", "outputId": "7696dbc8-e9de-4f1c-f710-acc9ef975310", "colab": { "base_uri": "https://localhost:8080/", "height": 295 } }, "source": [ "# kreiranje časovnega niza od 0 do 30 s korakom 0.1\n", "t = np.arange(0.0, 30.0, 0.1)\n", "# Izračun naboja\n", "Q = 5*(1-np.exp(-t/10))\n", "Q2 = 5*(1-np.exp(-t/5))\n", "Q3 = 5*(1-np.exp(-t/1))\n", "\n", "# Priprava slike\n", "plt.figure()\n", "plt.plot(t, Q,label='Q1')\n", "plt.plot(t, Q2,label='Q2')\n", "plt.plot(t, Q3,label='Q3')\n", "\n", "\n", "plt.xlabel('čas (s)')\n", "plt.ylabel('Naboj (mC)')\n", "plt.title('Naboj v odvisnosti od časa')\n", "\n", "plt.legend()\n", "plt.show()" ], "execution_count": 0, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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AVaoVQi7BO1wOcitzOX9QgM6g+fr3sOVjOPNPMOR0X0fjNS634c1lu3nii61U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\nR3FNsWeHZ9xuWPoc9JkE6VM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" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "markdown", "metadata": { "id": "qvQGplZd44BS", "colab_type": "text" }, "source": [ "### Naboj kot funkcija" ] }, { "cell_type": "code", "metadata": { "id": "IMfDdmsc4xbp", "colab_type": "code", "outputId": "30673c80-d6e1-4031-cae8-b757cd9bf769", "colab": { "base_uri": "https://localhost:8080/", "height": 295 } }, "source": [ "# kreiranje časovnega niza od 0 do 30 s korakom 0.1\n", "t = np.arange(0.0, 30.0, 0.1)\n", "# Naboj kot funkcija \n", "def Q(tau):\n", " return 5*(1-np.exp(-t/tau))\n", "\n", "tau=[10,5,1] # niz treh vrednosti tau\n", "labela=['Q1','Q2','Q3'] # niz treh oznak\n", "\n", "plt.figure()\n", "\n", "# Zanka, ki se izvrši večkrat in iterira (povečuje) indeks i\n", "for i in range(3): \n", " plt.plot(t, Q(tau[i]),label=labela[i])\n", "\n", "plt.xlabel('čas (s)')\n", "plt.ylabel('Naboj (mC)')\n", "plt.title('Naboj v odvisnosti od časa')\n", "\n", "plt.legend()\n", "plt.show()\n" ], "execution_count": 0, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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AVaoVQi7BO1wOcitzOX9QgM6g+fr3sOVjOPNPMOR0X0fjNS634c1lu3nii61U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\nR3FNsWeHZ9xuWPoc9JkE6VM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"text/plain": [ "
" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "markdown", "metadata": { "id": "ubA2UnAq-ZY-", "colab_type": "text" }, "source": [ " Zdaj pa ti: \n", "* Zapiši funkcijo toka in izriši krivulje za več vrednosti $\\tau$.\n", "* Spremeni oblike krivulj tako, da bodo vse črne in različnih oblik (črtkano, ...). Poglej https://matplotlib.org/gallery/lines_bars_and_markers/line_styles_reference.html . Rešitev je na koncu zvezka." ] }, { "cell_type": "markdown", "metadata": { "id": "GLZLBH1_WY88", "colab_type": "text" }, "source": [ "## Rešitve" ] }, { "cell_type": "markdown", "metadata": { "id": "cOtX9GJyqjhE", "colab_type": "text" }, "source": [ "***\n", "## Dodatne informacije\n", "\n", "Za osnovno delo z grafi si poglej spletno stran\n", "https://matplotlib.org/3.1.1/tutorials/introductory/pyplot.html#sphx-glr-tutorials-introductory-pyplot-py\n", "\n", "(kodo lahko spreminjate v tem zvezku (notebooku) ali pa kreirate novega z File/New Python 3 Notebook in preizkušate različne variante izrisov)\n", "\n", "Primeri iz Codelaba: https://colab.research.google.com/notebooks/charts.ipynb#scrollTo=WALI8x49GUpe" ] }, { "cell_type": "markdown", "metadata": { "id": "xsbYEKaLze2T", "colab_type": "text" }, "source": [ "" ] }, { "cell_type": "markdown", "metadata": { "id": "RDcRr__YxdS6", "colab_type": "text" }, "source": [ "***" ] }, { "cell_type": "markdown", "metadata": { "id": "L_we1hz-0Y0G", "colab_type": "text" }, "source": [ "## Rešitve" ] }, { "cell_type": "code", "metadata": { "id": "qG_A5vTMWbTG", "colab_type": "code", "outputId": "350cab90-47f7-45d4-a478-296f7a72aac3", "colab": { "base_uri": "https://localhost:8080/", "height": 150 } }, "source": [ "## Niz vrednosti x in y\n", "x=np.linspace(0,2*np.pi,20)\n", "y=2*np.sin(x)\n", "print(x,y)" ], "execution_count": 0, "outputs": [ { "output_type": "stream", "text": [ "[0. 0.33069396 0.66138793 0.99208189 1.32277585 1.65346982\n", " 1.98416378 2.31485774 2.64555171 2.97624567 3.30693964 3.6376336\n", " 3.96832756 4.29902153 4.62971549 4.96040945 5.29110342 5.62179738\n", " 5.95249134 6.28318531] [ 0.00000000e+00 6.49398938e-01 1.22842543e+00 1.67433296e+00\n", " 1.93880053e+00 1.99316899e+00 1.83154665e+00 1.47144782e+00\n", " 9.51894786e-01 3.29189181e-01 -3.29189181e-01 -9.51894786e-01\n", " -1.47144782e+00 -1.83154665e+00 -1.99316899e+00 -1.93880053e+00\n", " -1.67433296e+00 -1.22842543e+00 -6.49398938e-01 -4.89858720e-16]\n" ], "name": "stdout" } ] }, { "cell_type": "code", "metadata": { "id": "hr-LMhWX0aCn", "colab_type": "code", "outputId": "bb841f36-75db-4045-cf27-9900765d3dee", "colab": { "base_uri": "https://localhost:8080/", "height": 295 } }, "source": [ "# Izris dodatnih pik na krivulji\n", "# kreiranje časovnega niza od 0 do 30 s korakom 0.1\n", "t = np.arange(0.0, 30.0, 0.1)\n", "t1 = np.arange(0.0, 30.0, 5)\n", "# Izračun naboja\n", "Q = 5*(1-np.exp(-t/10))\n", "Q1= 5*(1-np.exp(-t1/10))\n", "\n", "# Priprava slike\n", "fig, ax = plt.subplots()\n", "ax.plot(t, Q)\n", "ax.plot(t1,Q1,'o')\n", "\n", "ax.set(xlabel='čas (s)', ylabel='Naboj (mC)', # Označitev osi\n", " title='Naboj v odvisnosti od časa')\n", "ax.grid()\n", "plt.show()" ], "execution_count": 0, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "markdown", "metadata": { "id": "y2yZqbIG0Vy-", "colab_type": "text" }, "source": [ "" ] }, { "cell_type": "code", "metadata": { "id": "YdPSbNpon7yx", "colab_type": "code", "outputId": "5f929ae8-df40-4dfe-f813-b0bb46ff60a7", "colab": { "base_uri": "https://localhost:8080/", "height": 281 } }, "source": [ "# mali programerski izziv - tekstovna označitev krivulj\n", "i=0.5*np.exp(-t/10)\n", "fig, ax1 = plt.subplots()\n", "\n", "ax1.set_xlabel('Čas (s)')\n", "ax1.set_ylabel('Naboj (mC)')\n", "ax1.plot(t, Q)\n", "ax1.tick_params(axis='y')\n", "ax1.grid(axis='x')\n", "ax1.text(t[15], Q[10], r'$Q(t)$', fontsize=12)\n", "\n", "ax2 = ax1.twinx() # x os za drugi plot naj bo enaka x osi prvega plota\n", "ax2.set_ylabel('Tok (mA)') \n", "ax2.plot(t, i)\n", "ax2.tick_params(axis='y')\n", "ax2.text(t[15], i[10], r'$i(t)$', fontsize=12)\n", "plt.show()" ], "execution_count": 0, "outputs": [ { "output_type": "display_data", "data": { 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I0ynKlaoMLemU4eRgx9+uj+TumTHMXHeIB/rqKNT1kTGG9QdPM3XFAVbvT8XNyZ6BjRx4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\nT/Xlpk5hfLjiACM+WMvu4zq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" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "code", "metadata": { "id": "GWoIF2khoI-0", "colab_type": "code", "outputId": "8c8679dc-e4dc-4665-e020-08dd4d490602", "colab": { "base_uri": "https://localhost:8080/", "height": 295 } }, "source": [ "# Naboj kot funkcija\n", "# kreiranje časovnega niza od 0 do 30 s korakom 0.1\n", "t = np.arange(0.0, 30.0, 0.1)\n", "# Naboj kot funkcija \n", "def Q(tau):\n", " return 5*(1-np.exp(-t/tau))\n", "\n", "tau=[10,5,1]\n", "labela=['Q1','Q2','Q3']\n", "# labela=['$Q_1(t)$','$Q_2(t)$','$Q_3(t)$'] # Odkomentiraj za lepši izpis\n", "lstil=['-','--',':']\n", "\n", "plt.figure()\n", "\n", "# Zanka, ki se izvrši večkrat in iterira (povečuje) indeks i\n", "for i in range(3): \n", " plt.plot(t, Q(tau[i]),label=labela[i],ls=lstil[i],color='k')\n", "\n", "plt.xlabel('čas (s)')\n", "plt.ylabel('Naboj (mC)')\n", "plt.title('Naboj v odvisnosti od časa')\n", "\n", "plt.legend()\n", "plt.show()\n" ], "execution_count": 0, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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FSvBaPXv2pFq1alSqVMnYoWQK+/fvp2vXrgQHB9O4cWNjh5PlSSk5ceIEK1as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\np0+5cuUKTk5O7+3T3qFDB2xsbKhXr16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