How to Find Power Delivered by a Dependent Voltage Source Using Node Analysis?

[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

 

[CEL]

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

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.

 

[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 don't know how to do it

 

[CEL]

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 don't know how to do it

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

What constraint equation?

 

[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

 

[CEL]

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

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