RC Charging Curve
Capacitor charging through a resistor — exponential approach to Vs.
Rendering…
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{
"data": [
{ "type":"scatter","mode":"lines","name":"V_C(t)",
"x":[0,0.25,0.5,1,1.5,2,3,4,5,7,10],
"y":[0,2.21,3.93,6.32,7.77,8.65,9.50,9.82,9.93,9.99,10.0],
"line":{"color":"#3666ff","width":3} },
{ "type":"scatter","mode":"lines","name":"Asymptote V_s",
"x":[0,10],"y":[10,10],"line":{"color":"#94a3b8","dash":"dash"} },
{ "type":"scatter","mode":"markers","name":"τ = RC",
"x":[1],"y":[6.32],"marker":{"size":14,"color":"#dc2626"} }
],
"layout":{
"title":"RC charging — V_C(t) = V_s (1 − e^(−t/RC))",
"xaxis":{"title":"t / τ"},
"yaxis":{"title":"V (V)"}
}
}