Node Voltage analysis- electrical engineering

[electronicxco]

http://i39.tinypic.com/28akmfk.jpg


Ultimately, I am trying to find power dissipated by each resistor.

I already applied node voltage analysis to the circuit.

The picture shows the diagram of the problem and my attempted solution/ equations I came up with. In the diagram, I labeled the nodes and reference node. All else was given in the diagram.

Please let me know what the next step is in order to find power dissipated by each resistor,
or if my equations for node voltage are not correct.

Thank you in advance.

 

[Filip Larsen]

If you have the potential over each resistor there is a very simply relationship that determines the power.

 

[electronicxco]

can you explain please?
i know that power P= current(I) x Voltage (V)

which v and I should i use?

 

[Filip Larsen]

Try combine the power equation you gave last with Ohm's law.

 

[DeeNos]

I can say that node voltage analysis is a commonly used method in electrical engineering to analyze and solve complex circuits. It is based on the principle of Kirchhoff's current law and Ohm's law. From the given diagram, it is clear that you have correctly identified the nodes and reference node. Your equations for node voltages also seem to be correct.

To find the power dissipated by each resistor, you can use the formula P = V^2/R, where V is the voltage across the resistor and R is its resistance. From your node voltage analysis, you have already calculated the voltage at each node. Now, you need to calculate the voltage drop across each resistor by subtracting the voltage at the lower node from the voltage at the higher node. Once you have the voltage across each resistor, you can use the formula to calculate the power dissipated by each resistor.

Another approach to finding the power dissipated by each resistor is to use the current flowing through each resistor. From your node voltage analysis, you have also calculated the current at each node. Using Ohm's law, you can calculate the current through each resistor by dividing the voltage drop across the resistor by its resistance. Once you have the current through each resistor, you can use the formula P = I^2*R to calculate the power dissipated by each resistor.

In conclusion, your node voltage analysis is correct and the next step would be to use the calculated node voltages to find the voltage drop across each resistor and then use the appropriate formula to calculate the power dissipated by each resistor. I hope this helps in your analysis.