Engineering Problems with First order RC circuit

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The discussion revolves around solving a first-order RC circuit problem involving a switch and a capacitor. The user is confused about part (b) of the question, specifically regarding the behavior of the capacitor after the switch is opened at t=0, noting that the current through the capacitor would be zero in steady state. There is a request for clarification on the initial conditions of the capacitor's voltage and the subsequent charge behavior after the switch opens. Additionally, there are mentions of needing to understand the response of a series RC circuit to a step input and the application of Thevenin's theorem. The conversation emphasizes the importance of understanding the initial voltage and charge dynamics in analyzing the circuit's response.
thuc
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I have problems with question b. I don't know where to start. If the switch is on steady state, the current through capacitor would be 0 and i can't have K. This makes me confused.
This is the Total response function of a): V0(t) = K^(-1/2t)
 

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The image shows a 12V power source with 2##\Omega## internal resistance connected, in parallel, with a parallel RC circuit (3F and 4##\Omega##) via a switch.
The voltage across the capacitor is labelled ##v_0##.
Part (a) says the switch, open for a long time, is closed at t=0, find ##v_0(t)##.
Part (b) says the switch has been closed for a long time, and is opened at t=0, find ##v_0(t)##.
These two parts normally have a similar method of solution, so please show your method for part (a) so we can see how you are thinking.

For part (b) ... what is physically happening? What is the initial voltage on the capactor, what happens to the charge on the capacitor for t>0?
 
Ok, this is part a)
 

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thuc said:
Ok, this is part a)
Are you familiar with the response of a series RC circuit excited with a step input?
Are you familiar with the Thevenin's theorem?
 
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