Solving for Power Dissipation in a Complex Circuit

AI Thread Summary
The discussion focuses on calculating the power dissipated by an 8-ohm resistor in a complex circuit using source transformations. The user successfully transformed a current source and resistors but is unsure about the next steps to find the power specifically for the 8-ohm resistor. They express confusion about whether to calculate the equivalent resistance of the remaining resistors in parallel. A suggestion is made to apply Kirchhoff's Current Law (KCL) to the circuit to derive the necessary equations for solving the problem. The conversation emphasizes the importance of correctly applying circuit analysis techniques to reach the solution.
electronicxco
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Homework Statement



Find the power dissipated by the 8 ohm resistor.
2v2ckxz.jpg

This was an example for source transformations.



Homework Equations


P=VI=V^2/r=I^2*R
V=IR



The Attempt at a Solution


First I transformed the 1 amp current source and 20 ohm in parallel
to a 20 V voltage source and a 20 ohm in series .
Then I added the two 20 ohms now in series for Req= 40 ohms.
Then I converted the 10 volt voltage source and the 10 ohm in series to a 1 amp current source in parallel with a 10 ohm resistor.

Now I am stuck , I don't feel like I should get the equiv.resistance of the 8 and 10 ohm resistors left in parallel ( because its asking for the power dissipated by the 8)

Can someone please guide me through this problem, what I'm doing wrong, or the proper approach.

Thank you
 
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electronicxco said:

Homework Statement



Find the power dissipated by the 8 ohm resistor.
2v2ckxz.jpg

This was an example for source transformations.



Homework Equations


P=VI=V^2/r=I^2*R
V=IR



The Attempt at a Solution


First I transformed the 1 amp current source and 20 ohm in parallel
to a 20 V voltage source and a 20 ohm in series .
Then I added the two 20 ohms now in series for Req= 40 ohms.
Then I converted the 10 volt voltage source and the 10 ohm in series to a 1 amp current source in parallel with a 10 ohm resistor.

Now I am stuck , I don't feel like I should get the equiv.resistance of the 8 and 10 ohm resistors left in parallel ( because its asking for the power dissipated by the 8)

Can someone please guide me through this problem, what I'm doing wrong, or the proper approach.

Thank you

Just write the 2 KCL equations on the circuit that you show, and solve. Call the bottom of the circuit ground, and write the KCL for the two nodes at the tops of the two vertical resistors.
 

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