What is the voltage across vc(0)?

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The voltage across vc(0) was initially calculated as 0V using Kirchhoff's Voltage Law (KVL), but confusion arose regarding the current flow in the circuit. The user calculated the current through the leftmost circuit and noted that the 3k and 1k resistors had no current. After applying nodal analysis, the user found that vc(0) is actually 10V, indicating a misunderstanding in the application of KVL. The final conclusion is that there is a short circuit near vc, leading to a voltage of 0V across it. The discussion highlights the importance of correctly applying circuit analysis techniques to determine voltage values.
jofree87
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What is the voltage across vc(0) in the diagram below?

The solution says its 10V but I don't know how they got that.

Through KVL, I got 0V.

Since all the current flows through the left most circuit, iA = 10/1000 = .01A

3k and 1k(right) resistors have no current.

-10 + 1000iA + vc = 0

vc = 0?

Am I doing something wrong here?

Edit: After applying nodal analysis, I got 10V, so I must be applying KVL wrong then?
 

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You are right, you can see why in another way, there are no corrents in vc and there is a short circuit beetween the nodes near vc, i.e. voltage=0, so vc must be zero
 
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