I don't understand a particular feature of voltage division. Consider the circuit below (we are trying to find Vo):
simulate this circuit – Schematic created using CircuitLab
Now, if the 10-KOhm resistor was not there, it would be obvious that the voltage across the capacitor would simply be the Source Voltage multiplied by the voltage divisor
Vo = 30 x (40/(40+20))
However, we have a 10-KOhm resistor here in the same branch where the capcitor is. I always understood voltage as "pressure", and whenever voltage meets a resistor, some of that pressure is lost forever (i.e. until the current flows back into the voltage source).
Thus, in this case I would be inclined to think that the 10-Ohm resistor "eats up" some of that voltage and thus the Voltage across the capacitor would not be found using the classic voltage divider.
Well, I am wrong apparently, since the solution to this circuit is indeed given by the voltage divider.
So how come the 10-KOhm resistor does not affect the voltage across the capacitor?
Best Answer
In the steady state analysis you treat the capacitor as an open circuit.
As you now realize, this means there is no current flowing through the 10K resistor, and as a result Ohm's law indicates that there is no voltage difference across the resistor.