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Created
Tue, May 6, 06:33
Size
5 MB
Mime Type
application/octet-stream
Expires
Thu, May 8, 06:33 (1 d, 23 h)
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chunks
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Chunks
Handle
wNEOzJQHE7Pa
Attached To
R9442 JuNoTE_git_repository
Total Chunks
2
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This file is larger than 256 KB, so syntax highlighting was skipped.
diff --git a/notebooks/RLC.ipynb b/notebooks/RLC.ipynb
index 120bb4e..b536c2f 100644
--- a/notebooks/RLC.ipynb
+++ b/notebooks/RLC.ipynb
@@ -31771,67430 +31771,66503 @@
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"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"from matplotlib import animation, rc\n",
"from IPython.display import HTML\n",
"\n",
"A = 1\n",
"B = 1\n",
"L = 4\n",
"C = 1\n",
"R = sqrt(4*L/C) + 1\n",
"m1 = -R/(2* L) + math.sqrt(R**2 - 4*L/C)/(2*L)\n",
"m2 = -R/(2* L) - math.sqrt(R**2 - 4*L/C)/(2*L)\n",
"\n",
"# case 1 : overdamped\n",
"t = np.linspace(0, 20, 100)\n",
"y = A*np.exp(m1*t) + B*np.exp(m2*t)\n",
"\n",
"#t = np.linspace(0, 10, 100)\n",
"#y = np.sin(x)\n",
"\n",
"fig, ax = plt.subplots()\n",
"line, = ax.plot(t, y, color='k')\n",
"plt.xlabel('time (t)')\n",
"plt.ylabel('current (A)')\n",
"plt.title('Overdamped Case: Current vs. Time')\n",
"\n",
"def update(num, t, y, line):\n",
" line.set_data(t[:num], y[:num])\n",
" line.axes.axis([0, 20, 0, 2])\n",
" return line,\n",
"\n",
"ani = animation.FuncAnimation(fig, update, len(t), fargs=[t, y, line],\n",
" interval=25, blit=True)\n",
"HTML(ani.to_jshtml())"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"<link rel=\"stylesheet\"\n",
"href=\"https://maxcdn.bootstrapcdn.com/font-awesome/4.4.0/\n",
"css/font-awesome.min.css\">\n",
"<script language=\"javascript\">\n",
" function isInternetExplorer() {\n",
" ua = navigator.userAgent;\n",
" /* MSIE used to detect old browsers and Trident used to newer ones*/\n",
" return ua.indexOf(\"MSIE \") > -1 || ua.indexOf(\"Trident/\") > -1;\n",
" }\n",
"\n",
" /* Define the Animation class */\n",
" function Animation(frames, img_id, slider_id, interval, loop_select_id){\n",
" this.img_id = img_id;\n",
" this.slider_id = slider_id;\n",
" this.loop_select_id = loop_select_id;\n",
" this.interval = interval;\n",
" this.current_frame = 0;\n",
" this.direction = 0;\n",
" this.timer = null;\n",
" this.frames = new Array(frames.length);\n",
"\n",
" for (var i=0; i<frames.length; i++)\n",
" {\n",
" this.frames[i] = new Image();\n",
" this.frames[i].src = frames[i];\n",
" }\n",
" var slider = document.getElementById(this.slider_id);\n",
" slider.max = this.frames.length - 1;\n",
" if (isInternetExplorer()) {\n",
" // switch from oninput to onchange because IE <= 11 does not conform\n",
" // with W3C specification. It ignores oninput and onchange behaves\n",
" // like oninput. In contrast, Mircosoft Edge behaves correctly.\n",
" slider.setAttribute('onchange', slider.getAttribute('oninput'));\n",
" slider.setAttribute('oninput', null);\n",
" }\n",
" this.set_frame(this.current_frame);\n",
" }\n",
"\n",
" Animation.prototype.get_loop_state = function(){\n",
" var button_group = document[this.loop_select_id].state;\n",
" for (var i = 0; i < button_group.length; i++) {\n",
" var button = button_group[i];\n",
" if (button.checked) {\n",
" return button.value;\n",
" }\n",
" }\n",
" return undefined;\n",
" }\n",
"\n",
" Animation.prototype.set_frame = function(frame){\n",
" this.current_frame = frame;\n",
" document.getElementById(this.img_id).src =\n",
" this.frames[this.current_frame].src;\n",
" document.getElementById(this.slider_id).value = this.current_frame;\n",
" }\n",
"\n",
" Animation.prototype.next_frame = function()\n",
" {\n",
" this.set_frame(Math.min(this.frames.length - 1, this.current_frame + 1));\n",
" }\n",
"\n",
" Animation.prototype.previous_frame = function()\n",
" {\n",
" this.set_frame(Math.max(0, this.current_frame - 1));\n",
" }\n",
"\n",
" Animation.prototype.first_frame = function()\n",
" {\n",
" this.set_frame(0);\n",
" }\n",
"\n",
" Animation.prototype.last_frame = function()\n",
" {\n",
" this.set_frame(this.frames.length - 1);\n",
" }\n",
"\n",
" Animation.prototype.slower = function()\n",
" {\n",
" this.interval /= 0.7;\n",
" if(this.direction > 0){this.play_animation();}\n",
" else if(this.direction < 0){this.reverse_animation();}\n",
" }\n",
"\n",
" Animation.prototype.faster = function()\n",
" {\n",
" this.interval *= 0.7;\n",
" if(this.direction > 0){this.play_animation();}\n",
" else if(this.direction < 0){this.reverse_animation();}\n",
" }\n",
"\n",
" Animation.prototype.anim_step_forward = function()\n",
" {\n",
" this.current_frame += 1;\n",
" if(this.current_frame < this.frames.length){\n",
" this.set_frame(this.current_frame);\n",
" }else{\n",
" var loop_state = this.get_loop_state();\n",
" if(loop_state == \"loop\"){\n",
" this.first_frame();\n",
" }else if(loop_state == \"reflect\"){\n",
" this.last_frame();\n",
" this.reverse_animation();\n",
" }else{\n",
" this.pause_animation();\n",
" this.last_frame();\n",
" }\n",
" }\n",
" }\n",
"\n",
" Animation.prototype.anim_step_reverse = function()\n",
" {\n",
" this.current_frame -= 1;\n",
" if(this.current_frame >= 0){\n",
" this.set_frame(this.current_frame);\n",
" }else{\n",
" var loop_state = this.get_loop_state();\n",
" if(loop_state == \"loop\"){\n",
" this.last_frame();\n",
" }else if(loop_state == \"reflect\"){\n",
" this.first_frame();\n",
" this.play_animation();\n",
" }else{\n",
" this.pause_animation();\n",
" this.first_frame();\n",
" }\n",
" }\n",
" }\n",
"\n",
" Animation.prototype.pause_animation = function()\n",
" {\n",
" this.direction = 0;\n",
" if (this.timer){\n",
" clearInterval(this.timer);\n",
" this.timer = null;\n",
" }\n",
" }\n",
"\n",
" Animation.prototype.play_animation = function()\n",
" {\n",
" this.pause_animation();\n",
" this.direction = 1;\n",
" var t = this;\n",
" if (!this.timer) this.timer = setInterval(function() {\n",
" t.anim_step_forward();\n",
" }, this.interval);\n",
" }\n",
"\n",
" Animation.prototype.reverse_animation = function()\n",
" {\n",
" this.pause_animation();\n",
" this.direction = -1;\n",
" var t = this;\n",
" if (!this.timer) this.timer = setInterval(function() {\n",
" t.anim_step_reverse();\n",
" }, this.interval);\n",
" }\n",
"</script>\n",
"\n",
"<style>\n",
".animation {\n",
" display: inline-block;\n",
" text-align: center;\n",
"}\n",
"input[type=range].anim-slider {\n",
" width: 374px;\n",
" margin-left: auto;\n",
" margin-right: auto;\n",
"}\n",
".anim-buttons {\n",
" margin: 8px 0px;\n",
"}\n",
".anim-buttons button {\n",
" padding: 0;\n",
" width: 36px;\n",
"}\n",
".anim-state label {\n",
" margin-right: 8px;\n",
"}\n",
".anim-state input {\n",
" margin: 0;\n",
" vertical-align: middle;\n",
"}\n",
"</style>\n",
"\n",
"<div class=\"animation\">\n",
" <img id=\"_anim_imgc968740009bc4b3c9196ec24cc6731d5\">\n",
" <div class=\"anim-controls\">\n",
" <input id=\"_anim_sliderc968740009bc4b3c9196ec24cc6731d5\" type=\"range\" class=\"anim-slider\"\n",
" name=\"points\" min=\"0\" max=\"1\" step=\"1\" value=\"0\"\n",
" oninput=\"animc968740009bc4b3c9196ec24cc6731d5.set_frame(parseInt(this.value));\"></input>\n",
" <div class=\"anim-buttons\">\n",
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" <button onclick=\"animc968740009bc4b3c9196ec24cc6731d5.first_frame()\"><i class=\"fa fa-fast-backward\">\n",
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" <button onclick=\"animc968740009bc4b3c9196ec24cc6731d5.previous_frame()\">\n",
" <i class=\"fa fa-step-backward\"></i></button>\n",
" <button onclick=\"animc968740009bc4b3c9196ec24cc6731d5.reverse_animation()\">\n",
" <i class=\"fa fa-play fa-flip-horizontal\"></i></button>\n",
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" <button onclick=\"animc968740009bc4b3c9196ec24cc6731d5.next_frame()\"><i class=\"fa fa-step-forward\">\n",
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" <button onclick=\"animc968740009bc4b3c9196ec24cc6731d5.faster()\"><i class=\"fa fa-plus\"></i></button>\n",
" </div>\n",
" <form action=\"#n\" name=\"_anim_loop_selectc968740009bc4b3c9196ec24cc6731d5\" class=\"anim-state\">\n",
" <input type=\"radio\" name=\"state\" value=\"once\" id=\"_anim_radio1_c968740009bc4b3c9196ec24cc6731d5\"\n",
" >\n",
" <label for=\"_anim_radio1_c968740009bc4b3c9196ec24cc6731d5\">Once</label>\n",
" <input type=\"radio\" name=\"state\" value=\"loop\" id=\"_anim_radio2_c968740009bc4b3c9196ec24cc6731d5\"\n",
" checked>\n",
" <label for=\"_anim_radio2_c968740009bc4b3c9196ec24cc6731d5\">Loop</label>\n",
" <input type=\"radio\" name=\"state\" value=\"reflect\" id=\"_anim_radio3_c968740009bc4b3c9196ec24cc6731d5\"\n",
" >\n",
" <label for=\"_anim_radio3_c968740009bc4b3c9196ec24cc6731d5\">Reflect</label>\n",
" </form>\n",
" </div>\n",
"</div>\n",
"\n",
"\n",
"<script language=\"javascript\">\n",
" /* Instantiate the Animation class. */\n",
" /* The IDs given should match those used in the template above. */\n",
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"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"from matplotlib import animation, rc\n",
"from IPython.display import HTML\n",
"\n",
"A = 1\n",
"B = 1\n",
"L = 4\n",
"C = 1\n",
"R = sqrt(4*L/C)\n",
"m1 = -R/(2* L) + math.sqrt(R**2 - 4*L/C)/(2*L)\n",
"m2 = -R/(2* L) - math.sqrt(R**2 - 4*L/C)/(2*L)\n",
"\n",
"# case 1 : overdamped\n",
"t = np.linspace(0, 20, 100)\n",
"y = (A+B*t)*np.exp(-R*t/(2*L))\n",
"\n",
"#t = np.linspace(0, 10, 100)\n",
"#y = np.sin(x)\n",
"\n",
"fig, ax = plt.subplots()\n",
"line, = ax.plot(t, y, color='k')\n",
"plt.xlabel('time (t)')\n",
"plt.ylabel('current (A)')\n",
"plt.title('Critically Damped Case: Current vs. Time')\n",
"\n",
"def update(num, t, y, line):\n",
" line.set_data(t[:num], y[:num])\n",
" line.axes.axis([0, 20, 0, 2])\n",
" return line,\n",
"\n",
"ani = animation.FuncAnimation(fig, update, len(t), fargs=[t, y, line],\n",
" interval=25, blit=True)\n",
"HTML(ani.to_jshtml())"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"<link rel=\"stylesheet\"\n",
"href=\"https://maxcdn.bootstrapcdn.com/font-awesome/4.4.0/\n",
"css/font-awesome.min.css\">\n",
"<script language=\"javascript\">\n",
" function isInternetExplorer() {\n",
" ua = navigator.userAgent;\n",
" /* MSIE used to detect old browsers and Trident used to newer ones*/\n",
" return ua.indexOf(\"MSIE \") > -1 || ua.indexOf(\"Trident/\") > -1;\n",
" }\n",
"\n",
" /* Define the Animation class */\n",
" function Animation(frames, img_id, slider_id, interval, loop_select_id){\n",
" this.img_id = img_id;\n",
" this.slider_id = slider_id;\n",
" this.loop_select_id = loop_select_id;\n",
" this.interval = interval;\n",
" this.current_frame = 0;\n",
" this.direction = 0;\n",
" this.timer = null;\n",
" this.frames = new Array(frames.length);\n",
"\n",
" for (var i=0; i<frames.length; i++)\n",
" {\n",
" this.frames[i] = new Image();\n",
" this.frames[i].src = frames[i];\n",
" }\n",
" var slider = document.getElementById(this.slider_id);\n",
" slider.max = this.frames.length - 1;\n",
" if (isInternetExplorer()) {\n",
" // switch from oninput to onchange because IE <= 11 does not conform\n",
" // with W3C specification. It ignores oninput and onchange behaves\n",
" // like oninput. In contrast, Mircosoft Edge behaves correctly.\n",
" slider.setAttribute('onchange', slider.getAttribute('oninput'));\n",
" slider.setAttribute('oninput', null);\n",
" }\n",
" this.set_frame(this.current_frame);\n",
" }\n",
"\n",
" Animation.prototype.get_loop_state = function(){\n",
" var button_group = document[this.loop_select_id].state;\n",
" for (var i = 0; i < button_group.length; i++) {\n",
" var button = button_group[i];\n",
" if (button.checked) {\n",
" return button.value;\n",
" }\n",
" }\n",
" return undefined;\n",
" }\n",
"\n",
" Animation.prototype.set_frame = function(frame){\n",
" this.current_frame = frame;\n",
" document.getElementById(this.img_id).src =\n",
" this.frames[this.current_frame].src;\n",
" document.getElementById(this.slider_id).value = this.current_frame;\n",
" }\n",
"\n",
" Animation.prototype.next_frame = function()\n",
" {\n",
" this.set_frame(Math.min(this.frames.length - 1, this.current_frame + 1));\n",
" }\n",
"\n",
" Animation.prototype.previous_frame = function()\n",
" {\n",
" this.set_frame(Math.max(0, this.current_frame - 1));\n",
" }\n",
"\n",
" Animation.prototype.first_frame = function()\n",
" {\n",
" this.set_frame(0);\n",
" }\n",
"\n",
" Animation.prototype.last_frame = function()\n",
" {\n",
" this.set_frame(this.frames.length - 1);\n",
" }\n",
"\n",
" Animation.prototype.slower = function()\n",
" {\n",
" this.interval /= 0.7;\n",
" if(this.direction > 0){this.play_animation();}\n",
" else if(this.direction < 0){this.reverse_animation();}\n",
" }\n",
"\n",
" Animation.prototype.faster = function()\n",
" {\n",
" this.interval *= 0.7;\n",
" if(this.direction > 0){this.play_animation();}\n",
" else if(this.direction < 0){this.reverse_animation();}\n",
" }\n",
"\n",
" Animation.prototype.anim_step_forward = function()\n",
" {\n",
" this.current_frame += 1;\n",
" if(this.current_frame < this.frames.length){\n",
" this.set_frame(this.current_frame);\n",
" }else{\n",
" var loop_state = this.get_loop_state();\n",
" if(loop_state == \"loop\"){\n",
" this.first_frame();\n",
" }else if(loop_state == \"reflect\"){\n",
" this.last_frame();\n",
" this.reverse_animation();\n",
" }else{\n",
" this.pause_animation();\n",
" this.last_frame();\n",
" }\n",
" }\n",
" }\n",
"\n",
" Animation.prototype.anim_step_reverse = function()\n",
" {\n",
" this.current_frame -= 1;\n",
" if(this.current_frame >= 0){\n",
" this.set_frame(this.current_frame);\n",
" }else{\n",
" var loop_state = this.get_loop_state();\n",
" if(loop_state == \"loop\"){\n",
" this.last_frame();\n",
" }else if(loop_state == \"reflect\"){\n",
" this.first_frame();\n",
" this.play_animation();\n",
" }else{\n",
" this.pause_animation();\n",
" this.first_frame();\n",
" }\n",
" }\n",
" }\n",
"\n",
" Animation.prototype.pause_animation = function()\n",
" {\n",
" this.direction = 0;\n",
" if (this.timer){\n",
" clearInterval(this.timer);\n",
" this.timer = null;\n",
" }\n",
" }\n",
"\n",
" Animation.prototype.play_animation = function()\n",
" {\n",
" this.pause_animation();\n",
" this.direction = 1;\n",
" var t = this;\n",
" if (!this.timer) this.timer = setInterval(function() {\n",
" t.anim_step_forward();\n",
" }, this.interval);\n",
" }\n",
"\n",
" Animation.prototype.reverse_animation = function()\n",
" {\n",
" this.pause_animation();\n",
" this.direction = -1;\n",
" var t = this;\n",
" if (!this.timer) this.timer = setInterval(function() {\n",
" t.anim_step_reverse();\n",
" }, this.interval);\n",
" }\n",
"</script>\n",
"\n",
"<style>\n",
".animation {\n",
" display: inline-block;\n",
" text-align: center;\n",
"}\n",
"input[type=range].anim-slider {\n",
" width: 374px;\n",
" margin-left: auto;\n",
" margin-right: auto;\n",
"}\n",
".anim-buttons {\n",
" margin: 8px 0px;\n",
"}\n",
".anim-buttons button {\n",
" padding: 0;\n",
" width: 36px;\n",
"}\n",
".anim-state label {\n",
" margin-right: 8px;\n",
"}\n",
".anim-state input {\n",
" margin: 0;\n",
" vertical-align: middle;\n",
"}\n",
"</style>\n",
"\n",
"<div class=\"animation\">\n",
" <img id=\"_anim_imga9607f8ed8394a15a745ae455469a4fe\">\n",
" <div class=\"anim-controls\">\n",
" <input id=\"_anim_slidera9607f8ed8394a15a745ae455469a4fe\" type=\"range\" class=\"anim-slider\"\n",
" name=\"points\" min=\"0\" max=\"1\" step=\"1\" value=\"0\"\n",
" oninput=\"anima9607f8ed8394a15a745ae455469a4fe.set_frame(parseInt(this.value));\"></input>\n",
" <div class=\"anim-buttons\">\n",
" <button onclick=\"anima9607f8ed8394a15a745ae455469a4fe.slower()\"><i class=\"fa fa-minus\"></i></button>\n",
" <button onclick=\"anima9607f8ed8394a15a745ae455469a4fe.first_frame()\"><i class=\"fa fa-fast-backward\">\n",
" </i></button>\n",
" <button onclick=\"anima9607f8ed8394a15a745ae455469a4fe.previous_frame()\">\n",
" <i class=\"fa fa-step-backward\"></i></button>\n",
" <button onclick=\"anima9607f8ed8394a15a745ae455469a4fe.reverse_animation()\">\n",
" <i class=\"fa fa-play fa-flip-horizontal\"></i></button>\n",
" <button onclick=\"anima9607f8ed8394a15a745ae455469a4fe.pause_animation()\"><i class=\"fa fa-pause\">\n",
" </i></button>\n",
" <button onclick=\"anima9607f8ed8394a15a745ae455469a4fe.play_animation()\"><i class=\"fa fa-play\"></i>\n",
" </button>\n",
" <button onclick=\"anima9607f8ed8394a15a745ae455469a4fe.next_frame()\"><i class=\"fa fa-step-forward\">\n",
" </i></button>\n",
" <button onclick=\"anima9607f8ed8394a15a745ae455469a4fe.last_frame()\"><i class=\"fa fa-fast-forward\">\n",
" </i></button>\n",
" <button onclick=\"anima9607f8ed8394a15a745ae455469a4fe.faster()\"><i class=\"fa fa-plus\"></i></button>\n",
" </div>\n",
" <form action=\"#n\" name=\"_anim_loop_selecta9607f8ed8394a15a745ae455469a4fe\" class=\"anim-state\">\n",
" <input type=\"radio\" name=\"state\" value=\"once\" id=\"_anim_radio1_a9607f8ed8394a15a745ae455469a4fe\"\n",
" >\n",
" <label for=\"_anim_radio1_a9607f8ed8394a15a745ae455469a4fe\">Once</label>\n",
" <input type=\"radio\" name=\"state\" value=\"loop\" id=\"_anim_radio2_a9607f8ed8394a15a745ae455469a4fe\"\n",
" checked>\n",
" <label for=\"_anim_radio2_a9607f8ed8394a15a745ae455469a4fe\">Loop</label>\n",
" <input type=\"radio\" name=\"state\" value=\"reflect\" id=\"_anim_radio3_a9607f8ed8394a15a745ae455469a4fe\"\n",
" >\n",
" <label for=\"_anim_radio3_a9607f8ed8394a15a745ae455469a4fe\">Reflect</label>\n",
" </form>\n",
" </div>\n",
"</div>\n",
"\n",
"\n",
"<script language=\"javascript\">\n",
" /* Instantiate the Animation class. */\n",
" /* The IDs given should match those used in the template above. */\n",
" (function() {\n",
" var img_id = \"_anim_imga9607f8ed8394a15a745ae455469a4fe\";\n",
" var slider_id = \"_anim_slidera9607f8ed8394a15a745ae455469a4fe\";\n",
" var loop_select_id = \"_anim_loop_selecta9607f8ed8394a15a745ae455469a4fe\";\n",
" var frames = new Array(100);\n",
" \n",
" frames[0] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAbAAAAEgCAYAAADVKCZpAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\\\n",
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]
},
"metadata": {},
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}
],
"source": [
"import plotly.graph_objects as go\n",
"from plotly.subplots import make_subplots\n",
"import plotly\n",
"\n",
- "!pip install --user plotly plotly-orca\n",
- "\n",
"fig1 = go.Figure()\n",
"fig1.add_trace(go.Bar(\n",
" y=['E '],\n",
" x=[100],\n",
" name='Electric field energy',\n",
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" )\n",
"))\n",
"fig1.add_trace(go.Bar(\n",
" y=['E '],\n",
" x=[0],\n",
" name='Magnetic field energy',\n",
" orientation='h',\n",
" text=[\"Text D\", \"Text E\", \"Text F\"],\n",
" marker=dict(\n",
" color='rgba(0, 0, 255, 0.7)',\n",
" line=dict(color='rgba(0, 0, 255, 1.0)', width=3)\n",
" )\n",
"))\n",
"fig1.update_layout(height=250, barmode='stack',plot_bgcolor = 'rgba(0,0,0,0)',title='LC Circuit Energies')\n",
- "fig1.show()\n",
- "\n",
- "plotly.offline.iplot(fig1, filename=\"../static/img/aa.png\")\n"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": null,
- "metadata": {},
- "outputs": [],
- "source": [
- "\n",
- "\n",
- "# to make gif from frames and save it\n",
- "#!pip3 install --user pillow\n",
- "from PIL import Image\n",
- "\n",
- "im2 = im1\n",
- "\n",
- "im1.save(\"../static/img/aa.gif\", save_all=True, append_images=[im2], duration=3000, loop=0)"
+ "fig1.show()\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# capacitance of condutive spheres"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
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"language": "python",
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},
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},
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"name": "python",
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