I have read the linked explanation about the RC low pass filter circuit and understood most of it. I understand the relation between the time constant RC to 1/(2*pi*f_c). I understand it means there is a trade off between the size of the time constant and the capacitor cutoff frequency point. I understand this point determines the "Phase shift" size etc. But to be honest, nothing of it is making sense. I'll try to state a question here that should help me clarify "what did I miss here..."
So, my question is:
The Bode diagram shows the capacitor properties for each frequency. i.e the relation Vout/Vin (log of it times 20 but this doesn't matter to me here..). But, if I apply a step function say at time t_0. Then, at this exact time, all frequencies are given. So, at this exact time, the capacitor should have all the properties of all frequencies. So Vout/Vin should get an infinite number of values at the exact time t_0. So, How does this make sense? Shouldn't the capacitor have one behavior for each point of time?
I really hope my question is making any sense for you.