Engineering RC Circuit Discharge Conceptual Question

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When the switch in the RC circuit closes, it creates a short that effectively bypasses the two 6kΩ resistors, leading to confusion about the behavior of the circuit. Initially, node A is at 3V, while nodes B and C are at 0V, and the current is 0.25 mA. After closing the switch, the expectation is that nodes B and C remain at 0V, but the solution manual indicates that current flows from the capacitor to node C. The key point of contention is the voltage across the capacitor, which is believed to remain at 3V before and after the switch is closed. This leads to the conclusion that the book's explanation may be incorrect regarding the behavior of the capacitor in this scenario.
DaleSwanson
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I have the solution manual, so this is more just a question of why, rather than what.

I understand that with the switch open:
vA = 3v
vB = vC = 0v
i0 = 0.25 mA

When the switch closes it creates a short that makes the two 6kΩ resistors irrelevant. What I don't understand is why anything should change then. The solution manual tells me that a current would flow from the capacitor from B to C, but why? It seems like nodes B and C should be at 0v both before and after the switch is closed.
 
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Yes, node B is at zero both before and after the switch is closed, but after the switch is closed, what is the voltage across the capacitor? Is it any different than before the switch is closed?
 
You are right--book is wrong.
 
As far as I can tell the voltage across the capacitor should always be 3v.
 

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