# Help with supernode question

1. Oct 15, 2008

### sofree

need help to solve this problem using node analysis

find the power deliverd by the dependent voltage source

http://i170.photobucket.com/albums/u270/weiqiangt/Photo213.jpg

need to use node voltage analysis

i tried using this equation: (v1-160)/10 + (v1/100) + (v1-150 Io)/ 20

but it looks like the ans is wrong

2. Oct 15, 2008

### CEL

There are two resistors in the branch containing the dependent source: 20 ohm and 30 ohm.
The current Io is a function of V1 and the 100 ohm resistor.
Finally, you must write a zero in the second term of your equation.

3. Oct 15, 2008

### sofree

you mean my equation will look like this:

(v1-160)/10 + (v1/100) + (v1-150 Io)/ 20 = 0

Io - v1/100

then what about my constraint equation? i really dunno how to do it

4. Oct 15, 2008

### CEL

Nope!
You should have
(v1-160)/10 + (v1/100) + (v1-150 Io)/ 50 = 0
Io = -v1/100

What constraint equation?

5. Oct 16, 2008

### sofree

i use this equation (v1-160)/10 + v1/100 + (v1-150 io)/50 = 0

then

io = -v1/100

my v1 = 100V and io = -1A

need to find the power in the dependant source... but it seems with this equation i cannot get the ans....

the actual ans is 750W from electric circuit 8th edition by nillsson riedel

6. Oct 16, 2008

### CEL

What is the voltage of the dependent source?
What is the current delivered by that source?
p = VI.