(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

http://i.imgur.com/pVIMw.png"

2. Relevant equations

3. The attempt at a solution

I called the top left loop i1, the top right loop i2, the bottom right loop i3, and the bottom left loop i4. I have all of these currents going clockwise in my work. An attempt to do loop analysis has left me with the following equations:

i_{4}=(2V_{x})/(1K)

i_{1}-i_{2}=2mA

i_{3}=-4mA

-i_{2}(4kΩ)=V_{x}

With this, I used KVL along the top loop going clcokwise, which got me:

-2(i_{1}-i_{4}) - 4i_{1}- 4i_{2}- 1i_{2}- 8(i_{2}-i_{3}) = 0

Solving this got me:

i_{2}=(-25/44)mA

Then, V_{0}=(8kΩ)(-25/44 mA)=-1.76V

Can someone please help me figure it out? When I go and try to check it, my work gets pretty weird....Pretty sure this is wrong. Can someone please help me find my mistake?

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# Homework Help: Please help me solve loop analysis problem

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