What is the voltage across vc(0)?

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SUMMARY

The voltage across vc(0) in the given circuit is definitively 10V, as confirmed through nodal analysis. Initial attempts using Kirchhoff's Voltage Law (KVL) led to a misunderstanding, resulting in a calculated voltage of 0V. The circuit analysis revealed that the current through the leftmost circuit was 0.01A, and the absence of current through the 3k and 1k resistors clarified the voltage across vc. The correct application of nodal analysis confirmed the voltage value.

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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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