"{\"version\":11,\"randomSeed\":\"f834a2b6adf0ac9a1406cfb1efd6ac0d\",\"graph\":{\"viewport\":{\"xmin\":2.222192254703281e-8,\"ymin\":-200.89533537743793,\"xmax\":117947463575.92812,\"ymax\":184.53977865882953},\"xAxisScale\":\"logarithmic\",\"xAxisArrowMode\":\"POSITIVE\",\"yAxisArrowMode\":\"POSITIVE\",\"xAxisLabel\":\"Frecuencia [Hz]\",\"yAxisLabel\":\"Fase [º]\",\"userLockedViewport\":true,\"squareAxes\":false,\"__v12ViewportLatexStash\":{\"xmin\":\"0.00000002222192254703281\",\"xmax\":\"117947463575.92812\",\"ymin\":\"-200.89533537743793\",\"ymax\":\"184.53977865882953\"}},\"expressions\":{\"list\":[{\"type\":\"text\",\"id\":\"28\",\"text\":\"Autor: Gonzalo Alba Muñoz\\ne-mail: gonzalo.alba@uca.es\\nORCID: 0000-0002-2360-7708\\nhttps://zenodo.org/communities/volt/\"},{\"type\":\"text\",\"id\":\"2128\",\"text\":\"DESCRIPCION:\\nEsta calculadora gráfica permite visualizar de forma interactiva el diagrama de Bode para la fase de la ganancia de tensión de las 2 salidas posibles en el circuito RC serie.\\nINSTRUCCIONES:\\n1. Defina los valores de R y C. \\n2. Active la/s salida/s en el selector 'OUTPUT'.\\n3. Use los cursores para realizar mediciones.\\n4. Use Reset si algún cursor se le pierde fuera de la interfaz gráfica\"},{\"type\":\"text\",\"id\":\"2024\",\"text\":\"DESCRIPTION: \\nThis interactive graphing calculator visualizes the Bode phase plot for the 2 possible outputs of a series RC circuit.\\nINSTRUCTIONS:\\n1. Set the R and C component values.\\n2. Activate the desired output(s) via the 'OUTPUT' panel.\\n3. Drag the interactive cursors to take measurements.\\n4. Use 'Reset' if a cursor disappears from the visible graph area.\"},{\"type\":\"folder\",\"id\":\"2052\",\"title\":\"(Salida R)\",\"collapsed\":true},{\"type\":\"expression\",\"id\":\"2046\",\"folderId\":\"2052\",\"color\":\"#388c46\",\"latex\":\"N_{um}\\\\left(s\\\\right)=Rcs\",\"hidden\":true},{\"type\":\"expression\",\"id\":\"1993\",\"folderId\":\"2052\",\"color\":\"#000000\",\"latex\":\"N_{c}=\\\\left[\\\\frac{N_{um}\\\\left(0\\\\right)}{0!},\\\\frac{N_{um}'\\\\left(0\\\\right)}{1!},\\\\frac{N_{um}''\\\\left(0\\\\right)}{2!},\\\\frac{N_{um}'''\\\\left(0\\\\right)}{3!},\\\\frac{N_{um}'''\\\\left(0\\\\right)}{4!}\\\\right]\"},{\"type\":\"expression\",\"id\":\"2004\",\"folderId\":\"2052\",\"color\":\"#6042a6\",\"latex\":\"N_{real}(x)=N_{c}[1]-N_{c}[3]\\\\cdot x^{2}+N_{c}[5]\\\\cdot x^{4}\",\"hidden\":true},{\"type\":\"expression\",\"id\":\"2006\",\"folderId\":\"2052\",\"color\":\"#6042a6\",\"latex\":\"N_{im}(x)=N_{c}[2]\\\\cdot x-N_{c}[4]\\\\cdot x^{3}\",\"hidden\":true},{\"type\":\"expression\",\"id\":\"1991\",\"folderId\":\"2052\",\"color\":\"#388c46\",\"latex\":\"D_{en}\\\\left(s\\\\right)=Rcs+1\",\"hidden\":true},{\"type\":\"expression\",\"id\":\"2001\",\"folderId\":\"2052\",\"color\":\"#000000\",\"latex\":\"D_{c}=\\\\left[\\\\frac{D_{en}\\\\left(0\\\\right)}{0!},\\\\frac{D_{en}'\\\\left(0\\\\right)}{1!},\\\\frac{D_{en}''\\\\left(0\\\\right)}{2!},\\\\frac{D_{en}'''\\\\left(0\\\\right)}{3!},\\\\frac{D_{en}'''\\\\left(0\\\\right)}{4!}\\\\right]\"},{\"type\":\"expression\",\"id\":\"2005\",\"folderId\":\"2052\",\"color\":\"#6042a6\",\"latex\":\"D_{real}(x)=D_{c}[1]-D_{c}[3]\\\\cdot x^{2}+D_{c}[5]\\\\cdot x^{4}\",\"hidden\":true},{\"type\":\"expression\",\"id\":\"2007\",\"folderId\":\"2052\",\"color\":\"#6042a6\",\"latex\":\"D_{im}(x)=D_{c}[2]\\\\cdot x-D_{c}[4]\\\\cdot x^{3}\",\"hidden\":true},{\"type\":\"expression\",\"id\":\"1979\",\"folderId\":\"2052\",\"color\":\"#000000\",\"latex\":\"G_{dB}\\\\left(x\\\\right)=20\\\\log\\\\left(\\\\frac{\\\\sqrt{N_{real}\\\\left(f\\\\right)^{2}+N_{im}\\\\left(f\\\\right)^{2}}}{\\\\sqrt{D_{real}\\\\left(f\\\\right)^{2}+D_{im}\\\\left(f\\\\right)^{2}}}\\\\right)\\\\left\\\\{O=1\\\\right\\\\}\",\"hidden\":true},{\"type\":\"expression\",\"id\":\"2142\",\"folderId\":\"2052\",\"color\":\"#000000\",\"latex\":\"G_{dBF}\\\\left(x\\\\right)=\\\\frac{180}{\\\\pi}\\\\left(\\\\arctan\\\\left(N_{im}\\\\left(f\\\\right),N_{real}\\\\left(f\\\\right)\\\\right)-\\\\arctan\\\\left(D_{im}\\\\left(f\\\\right),D_{real}\\\\left(f\\\\right)\\\\right)\\\\left\\\\{O=1\\\\right\\\\}\\\\right)\"},{\"type\":\"folder\",\"id\":\"2166\",\"title\":\"(Salida C)\",\"collapsed\":true},{\"type\":\"expression\",\"id\":\"2167\",\"folderId\":\"2166\",\"color\":\"#388c46\",\"latex\":\"N_{umC}\\\\left(s\\\\right)=1\",\"hidden\":true},{\"type\":\"expression\",\"id\":\"2168\",\"folderId\":\"2166\",\"color\":\"#000000\",\"latex\":\"N_{cC}=\\\\left[\\\\frac{N_{umC}\\\\left(0\\\\right)}{0!},\\\\frac{N_{umC}'\\\\left(0\\\\right)}{1!},\\\\frac{N_{umC}''\\\\left(0\\\\right)}{2!},\\\\frac{N_{umC}'''\\\\left(0\\\\right)}{3!},\\\\frac{N_{umC}'''\\\\left(0\\\\right)}{4!}\\\\right]\"},{\"type\":\"expression\",\"id\":\"2169\",\"folderId\":\"2166\",\"color\":\"#6042a6\",\"latex\":\"N_{realC}(x)=N_{cC}[1]-N_{cC}[3]\\\\cdot x^{2}+N_{cC}[5]\\\\cdot x^{4}\",\"hidden\":true},{\"type\":\"expression\",\"id\":\"2170\",\"folderId\":\"2166\",\"color\":\"#6042a6\",\"latex\":\"N_{imC}(x)=N_{cC}[2]\\\\cdot x-N_{cC}[4]\\\\cdot x^{3}\",\"hidden\":true},{\"type\":\"expression\",\"id\":\"2175\",\"folderId\":\"2166\",\"color\":\"#fa7e19\",\"latex\":\"G_{dBC}\\\\left(x\\\\right)=20\\\\log\\\\left(\\\\frac{\\\\sqrt{N_{realC}\\\\left(f\\\\right)^{2}+N_{imC}\\\\left(f\\\\right)^{2}}}{\\\\sqrt{D_{real}\\\\left(f\\\\right)^{2}+D_{im}\\\\left(f\\\\right)^{2}}}\\\\right)\\\\left\\\\{O_{1}=1\\\\right\\\\}\",\"hidden\":true},{\"type\":\"expression\",\"id\":\"2176\",\"folderId\":\"2166\",\"color\":\"#c74440\",\"latex\":\"G_{dBCF}\\\\left(x\\\\right)=\\\\frac{180}{\\\\pi}\\\\left(\\\\arctan\\\\left(N_{imC}\\\\left(f\\\\right),N_{realC}\\\\left(f\\\\right)\\\\right)-\\\\arctan\\\\left(D_{im}\\\\left(f\\\\right),D_{real}\\\\left(f\\\\right)\\\\right)\\\\left\\\\{O_{1}=1\\\\right\\\\}\\\\right)\"},{\"type\":\"folder\",\"id\":\"23\",\"title\":\"Cursor R\",\"collapsed\":true},{\"type\":\"text\",\"id\":\"2066\",\"folderId\":\"23\",\"text\":\"Cursor R\"},{\"type\":\"expression\",\"id\":\"19\",\"folderId\":\"23\",\"color\":\"#c74440\",\"latex\":\"a=1.5915494309189535\",\"hidden\":true,\"slider\":{\"max\":\"2200000\"}},{\"type\":\"expression\",\"id\":\"26\",\"folderId\":\"23\",\"color\":\"#2d70b3\",\"latex\":\"V_{2}=\\\\operatorname{round}\\\\left(G_{dBF}\\\\left(a\\\\right),3\\\\right)\"},{\"type\":\"expression\",\"id\":\"21\",\"folderId\":\"23\",\"color\":\"#000000\",\"latex\":\"y=G_{dBF}\\\\left(a\\\\right)\",\"lineStyle\":\"DASHED\",\"lineWidth\":\"1\"},{\"type\":\"expression\",\"id\":\"20\",\"folderId\":\"23\",\"color\":\"#000000\",\"latex\":\"x=a\\\\left\\\\{O=1\\\\right\\\\}\",\"lineStyle\":\"DASHED\",\"lineWidth\":\"1\"},{\"type\":\"expression\",\"id\":\"18\",\"folderId\":\"23\",\"color\":\"#000000\",\"latex\":\"\\\\left(a,G_{dBF}\\\\left(a\\\\right)\\\\right)\",\"showLabel\":true,\"label\":\"(${a} Hz, ${V_2} º)\",\"pointStyle\":\"OPEN\",\"labelOrientation\":\"below\"},{\"type\":\"folder\",\"id\":\"2102\",\"title\":\"Cursor C\",\"collapsed\":true},{\"type\":\"expression\",\"id\":\"2110\",\"folderId\":\"2102\",\"color\":\"#6042a6\",\"latex\":\"a_{c}=1.5915494309189535\",\"slider\":{\"max\":\"2800000\"}},{\"type\":\"expression\",\"id\":\"2111\",\"folderId\":\"2102\",\"color\":\"#c74440\",\"latex\":\"y=G_{dBCF}\\\\left(a_{c}\\\\right)\",\"lineStyle\":\"DASHED\",\"lineWidth\":\"1\"},{\"type\":\"expression\",\"id\":\"2112\",\"folderId\":\"2102\",\"color\":\"#388c46\",\"latex\":\"V_{c}=\\\\operatorname{round}\\\\left(G_{dBCF}\\\\left(a_{c}\\\\right),3\\\\right)\"},{\"type\":\"expression\",\"id\":\"2113\",\"folderId\":\"2102\",\"color\":\"#c74440\",\"latex\":\"x=a_{c}\\\\left\\\\{O_{1}=1\\\\right\\\\}\",\"lineStyle\":\"DASHED\",\"lineWidth\":\"1\"},{\"type\":\"expression\",\"id\":\"2114\",\"folderId\":\"2102\",\"color\":\"#c74440\",\"latex\":\"\\\\left(a_{c},G_{dBCF}\\\\left(a_{c}\\\\right)\\\\right)\",\"showLabel\":true,\"label\":\"(${a_c} Hz, ${V_c} º)\",\"pointStyle\":\"OPEN\"},{\"type\":\"folder\",\"id\":\"2017\",\"title\":\"Frecuencia de corte\",\"collapsed\":true},{\"type\":\"expression\",\"id\":\"2014\",\"folderId\":\"2017\",\"color\":\"#c74440\",\"latex\":\"f=2\\\\pi x\",\"hidden\":true},{\"type\":\"text\",\"id\":\"2032\",\"folderId\":\"2017\",\"text\":\"Frecuencia de corte [Hz]\"},{\"type\":\"expression\",\"id\":\"2029\",\"folderId\":\"2017\",\"color\":\"#000000\",\"latex\":\"f_{0}=\\\\frac{1}{2\\\\pi Rc}\",\"lineStyle\":\"DASHED\",\"lineOpacity\":\"1\",\"lineWidth\":\"2\"},{\"type\":\"expression\",\"id\":\"2033\",\"folderId\":\"2017\",\"color\":\"#000000\",\"latex\":\"x=f_{0}\",\"lineWidth\":\"1\"},{\"type\":\"expression\",\"id\":\"2035\",\"folderId\":\"2017\",\"color\":\"#000000\",\"latex\":\"\\\\left(f_{0},110\\\\right)\",\"showLabel\":true,\"label\":\"fc = ${f_1} Hz\",\"dragMode\":\"NONE\",\"labelOrientation\":\"right\",\"suppressTextOutline\":true,\"pointSize\":\"5\",\"movablePointSize\":\"5\",\"__stashed_V12PointStyle\":\"PLUS\"},{\"type\":\"expression\",\"id\":\"2034\",\"folderId\":\"2017\",\"color\":\"#000000\",\"latex\":\"f_{1}=\\\\operatorname{round}\\\\left(f_{0},2\\\\right)\"},{\"type\":\"folder\",\"id\":\"2160\",\"title\":\"RC y sliders\",\"collapsed\":true},{\"type\":\"expression\",\"id\":\"2161\",\"folderId\":\"2160\",\"color\":\"#6042a6\",\"latex\":\"-95>y>-200\\\\left\\\\{10^{-7.2}<x<10^{-0.7}\\\\right\\\\}\",\"colorLatex\":\"b_{lanco}\",\"fillOpacity\":\"1\",\"lineOpacity\":\"3\"},{\"type\":\"text\",\"id\":\"11\",\"folderId\":\"2160\",\"text\":\"Resistencia [Ω]\"},{\"type\":\"expression\",\"id\":\"4\",\"folderId\":\"2160\",\"color\":\"#c74440\",\"latex\":\"R=1000\",\"slider\":{\"hardMin\":true,\"hardMax\":true,\"min\":\"0.1\",\"max\":\"100000\"}},{\"type\":\"expression\",\"id\":\"2145\",\"folderId\":\"2160\",\"color\":\"#000000\",\"latex\":\"\\\\left(0.1,-140\\\\right),\\\\left(\\\\frac{1}{10^{7}},-140\\\\right)\",\"lines\":true,\"pointOpacity\":\"2\"},{\"type\":\"expression\",\"id\":\"2148\",\"folderId\":\"2160\",\"color\":\"#000000\",\"latex\":\"\\\\left(\\\\frac{R}{10^{6}},-140\\\\right)\",\"pointStyle\":\"OPEN\"},{\"type\":\"expression\",\"id\":\"22\",\"folderId\":\"2160\",\"color\":\"#000000\",\"latex\":\"\\\\left(\\\\frac{1}{10^{5}},-135\\\\right)\",\"showLabel\":true,\"label\":\"R = ${R} Ω\",\"hidden\":true,\"labelOrientation\":\"right\",\"labelSize\":\"1\",\"suppressTextOutline\":true,\"pointOpacity\":\"2\"},{\"type\":\"text\",\"id\":\"13\",\"folderId\":\"2160\",\"text\":\"Capacidad del condensador [uF]\"},{\"type\":\"expression\",\"id\":\"2079\",\"folderId\":\"2160\",\"color\":\"#000000\",\"latex\":\"C=100\",\"slider\":{\"hardMin\":true,\"hardMax\":true,\"min\":\"0.01\",\"max\":\"10000\"}},{\"type\":\"expression\",\"id\":\"2149\",\"folderId\":\"2160\",\"color\":\"#c74440\",\"latex\":\"\\\\left(0.1,-125\\\\right),\\\\left(\\\\frac{1}{10^{7}},-125\\\\right)\",\"lines\":true},{\"type\":\"expression\",\"id\":\"2151\",\"folderId\":\"2160\",\"color\":\"#c74440\",\"latex\":\"\\\\left(\\\\frac{C}{10^{5}},-125\\\\right)\",\"pointStyle\":\"OPEN\"},{\"type\":\"expression\",\"id\":\"2041\",\"folderId\":\"2160\",\"color\":\"#c74440\",\"latex\":\"\\\\left(\\\\frac{1}{10^{5}},-120\\\\right)\",\"showLabel\":true,\"label\":\"C = ${C} μF\",\"hidden\":true,\"dragMode\":\"XY\",\"labelOrientation\":\"right\",\"labelSize\":\"1\",\"suppressTextOutline\":true,\"pointOpacity\":\"2\"},{\"type\":\"expression\",\"id\":\"7\",\"folderId\":\"2160\",\"color\":\"#6042a6\",\"latex\":\"c=C\\\\cdot10^{-6}\",\"hidden\":true},{\"type\":\"folder\",\"id\":\"2140\",\"title\":\"PANEL SALIDAS\",\"collapsed\":true},{\"type\":\"expression\",\"id\":\"2182\",\"folderId\":\"2140\",\"color\":\"#c74440\",\"latex\":\"O_{5}=-1\",\"hidden\":true},{\"type\":\"expression\",\"id\":\"2181\",\"folderId\":\"2140\",\"color\":\"#000000\",\"latex\":\"O_{4}=-1\",\"hidden\":true},{\"type\":\"expression\",\"id\":\"2177\",\"folderId\":\"2140\",\"color\":\"#c74440\",\"latex\":\"O_{3}=-1\"},{\"type\":\"expression\",\"id\":\"2139\",\"folderId\":\"2140\",\"color\":\"#2d70b3\",\"latex\":\"O_{2}=-1\",\"hidden\":true},{\"type\":\"expression\",\"id\":\"2137\",\"folderId\":\"2140\",\"color\":\"#2d70b3\",\"latex\":\"O_{1}=1\",\"hidden\":true},{\"type\":\"expression\",\"id\":\"2134\",\"folderId\":\"2140\",\"color\":\"#2d70b3\",\"latex\":\"O=1\",\"hidden\":true},{\"type\":\"expression\",\"id\":\"2136\",\"folderId\":\"2140\",\"color\":\"#c74440\",\"latex\":\"\\\\left(10^{-2.5},-165\\\\right)\",\"showLabel\":true,\"label\":\"C\",\"labelOrientation\":\"above\",\"pointSize\":\"20\",\"movablePointSize\":\"20\",\"clickableInfo\":{\"enabled\":true,\"latex\":\"O_{1}\\\\to-O_{1}\"}},{\"type\":\"expression\",\"id\":\"2135\",\"folderId\":\"2140\",\"color\":\"#000000\",\"latex\":\"\\\\left(10^{-1.75},-165\\\\right)\",\"showLabel\":true,\"label\":\"R\",\"labelOrientation\":\"above\",\"pointSize\":\"20\",\"movablePointSize\":\"20\",\"clickableInfo\":{\"enabled\":true,\"latex\":\"O\\\\to-O\"}},{\"type\":\"expression\",\"id\":\"2154\",\"folderId\":\"2140\",\"color\":\"#000000\",\"latex\":\"\\\\left(10^{-3},-165\\\\right)\",\"showLabel\":true,\"label\":\"OUTPUT\",\"hidden\":true,\"labelOrientation\":\"left\"},{\"type\":\"folder\",\"id\":\"1984\",\"title\":\"RESET\",\"collapsed\":true},{\"type\":\"text\",\"id\":\"2126\",\"folderId\":\"1984\",\"text\":\"RESET\"},{\"type\":\"expression\",\"id\":\"2125\",\"folderId\":\"1984\",\"color\":\"#000000\",\"latex\":\"\\\\left(10^{-5.5},-165\\\\right)\",\"showLabel\":true,\"label\":\"Reset\",\"pointStyle\":\"OPEN\",\"dragMode\":\"NONE\",\"labelOrientation\":\"left\",\"pointSize\":\"20\",\"movablePointSize\":\"20\",\"clickableInfo\":{\"enabled\":true,\"latex\":\"a\\\\to f_{0},\\\\ a_{c}\\\\to f_{0}\"}},{\"type\":\"expression\",\"id\":\"1988\",\"folderId\":\"1984\",\"color\":\"#000000\",\"latex\":\"b_{lanco}=\\\\operatorname{rgb}\\\\left(255,255,255\\\\right)\"}]},\"includeFunctionParametersInRandomSeed\":true,\"doNotMigrateMovablePointStyle\":true}"