Why Does I(o3) Equal Zero in Simple Circuits?

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integrate
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Hi,

I have a simple circuit question. I was just wondering why I(o3) = 0? (see link)

- Is it because current always follows the path of least resistance?
- So the current flows through the empty branch and not beyond that?
- Are the two remaining 4 kilo(ohm) useless?

http://www.angelfire.com/ct2/frames3000/integrate.html"

Thanks.
 
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Basically yes, you shorted out the two 4k Ohm resistors, no current is going to flow down that branch.