# Circuit with capacitors and inductors

The question states that the circuit has been connected for a very long time. I'm assuming that then, the current will remain constant and thus the voltage for the inductor is vL = Ldi/dt = 0. Thus, using nodal analysis, I was able to solve (a) by eliminating all of the inductors from the circuit. For (b), however, there is a capacitor for which I do not know how to handle, although I would guess that a mesh analysis would be involved from the looks of the current sources.

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gneill
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When capacitors reach steady state in a DC circuit they reach a constant voltage and pass no current. You can remove capacitors and short out inductors...

I have removed the capacitors and shorted out the inductors. All that remains are the resistors. Would it be valid to sum the current sources and put the 12 A source to the left of everything and use current division?

gneill
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I have removed the capacitors and shorted out the inductors. All that remains are the resistors. Would it be valid to sum the current sources and put the 12 A source to the left of everything and use current division?
No, you can't sum the current sources as they are not in parallel. But you don't need to: the 10A supply is the only supply to the 2k and 5k resistors which are in parallel (now that the inductor is shorted). Apply current division.

Why doesn't the 2 A source have no added effect? I would assume from intuition that it would contribute to the current i,x going through the 5 k,ohm resistor.

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gneill
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Why doesn't the 2 A source have no added effect? I would assume from intuition that it would contribute to the current i,x going through the 5 k,ohm resistor.
The 2A source can't have any effect on those components because the 10A current source will pass 10 amps, and ONLY 10 amps no matter what. An ideal source cannot do anything but exactly what it's specified to do. If an ideal source is putting 10A into a node, you better believe that all 10A are going somewhere!

If you were to draw a current arrow on the bottom rail that is below the 10A source, what current value would you label it with? Where does that current come from ?

10 A going to the left?

gneill
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10 A going to the left?
Yes. Where does that current come from (through which components must it flow)?