Use the node-voltage method to find vo and the power delivered by the current source in the circuit in figure(Figure 1) if the v = 30V and the i = 1.6A.
#1: Use the node a as the reference node to find vo
#2: Use the node b as the reference node to find vo
#3: Find the power delivered by the 1.6A current source
I am stuck on the first one at the moment.
http://imageshack.us/a/img152/2156/eeehomework04p4.png [Broken]Left is the Given with my adjustment notes, right is modified result.
Kirchoff's Volt Law
Kirchoff's Current Law
supernode & mesh analysis
The Attempt at a Solution
In the pic above you can see I combined the series resistances, 20+55=75. Then I combined the parallel resistors, 150 and the new 75 to get (150*75)/(150+75)=50. This problem instructs me to use node a as the reference, so I put the ground/ref. there for #1.
This is when I setup my node-voltage method equation.
node b: 1.6 + (1/50)Vb + (1/50)(Vb - 30) = 0
This was the only equation I was able to make, and it gives me 0 for Vb which is wrong... I'm probably handling the voltage source incorrectly in the problem.. Is the modified picture correct? If so, did I make an error with my equation for Vb, or should I have a 2nd equation from node C?
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