Help with supernode question

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In summary, the conversation is about using node voltage analysis to solve a problem involving a dependent voltage source. The equation being used is (v1-160)/10 + (v1/100) + (v1-150 Io)/ 20 = 0 and the constraint equation is Io = -v1/100. The desired output is to find the power delivered by the dependent source, which is calculated using the equation p = VI. The actual answer is 750W.
  • #1
sofree
3
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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
 
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  • #2
sofree said:
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.
 
  • #3
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
 
  • #4
sofree said:
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?
 
  • #5
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
sofree said:
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.
 

1. What is a supernode?

A supernode is a specialized type of node in a circuit that has a high amount of current flowing through it. It is typically created by combining multiple nodes together to create a larger, more powerful node.

2. How do I create a supernode?

To create a supernode, you need to identify the nodes with the highest amount of current flowing through them and combine them together using Kirchhoff's Current Law. This can be done by drawing an imaginary line connecting the nodes and treating them as a single node in the circuit.

3. What is the purpose of a supernode in a circuit?

A supernode is used to simplify complex circuits by reducing the number of nodes and equations needed to analyze the circuit. It also allows for more accurate analysis of circuits with high current flow.

4. How do I solve a circuit with a supernode?

To solve a circuit with a supernode, you can use the same techniques as solving a regular circuit, such as applying Kirchhoff's Voltage and Current Laws. However, you will also need to consider the equivalent resistance and current of the supernode when solving the circuit.

5. Can a supernode be created in any circuit?

Yes, a supernode can be created in any circuit as long as there are nodes with high current flowing through them that can be combined together. However, it is more commonly used in circuits with multiple voltage sources and complex paths.

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