Resistive Circuit with Multiple Voltage Sources: Finding Power Absorbed

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Discussion Overview

The discussion revolves around a homework problem involving a resistive circuit with multiple voltage sources. Participants are focused on finding the power absorbed at each resistor, specifically addressing the complexities introduced by having two voltage sources in the circuit.

Discussion Character

  • Homework-related
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant expresses confusion about how to approach the problem with two voltage sources and seeks guidance on finding the power absorbed at each resistor.
  • Another participant points out that the voltage across the 6 ohm resistor is directly determined by a 12V source connected across it, suggesting this simplifies the analysis.
  • A different participant explains that the voltage across the 8 ohm resistor can be determined by subtracting the voltages at its terminals, which are held at -12V and -20V.
  • Some participants note that the resistors are arranged in a delta configuration, which is common in resistor network problems, and mention that converting to a wye arrangement could simplify the analysis, though they believe it may not be necessary in this case.
  • One participant cautions that applying a transformation to the resistor arrangement could alter the components, making it difficult to find the power in the original circuit.

Areas of Agreement / Disagreement

Participants generally agree on the approach to finding the voltage across the resistors, but there is some contention regarding the necessity and implications of transforming the resistor arrangement from delta to wye.

Contextual Notes

Some assumptions about the circuit configuration and the effects of voltage sources are not explicitly stated. The discussion does not resolve the implications of resistor transformations on the original circuit's power calculations.

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Homework Statement


I need help solving this problem. I don't understand what to do when there's 2 voltage sources.
The problem asks you to find the power absorbed at each resistor

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Homework Equations


The book says that the power absorb at the 6 ohm is 24 Watt, at 4 ohm is 100 Watt, and at the 8 ohm is 72 Watt


The Attempt at a Solution


I thought maybe you could subtract the two voltages since the polarities are different and then use the current divider formula saying the total resistance is parallel resistance of the 6 and 4 ohm and then add the 8 ohm.
 

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There is a voltage source of 12 v connected directly across the terminals of the 6 ohm resistor, so that tells you the voltage across that resistor. End of story.

Similarly, for the 4 ohm.
 
Last edited:
The voltage across the 8 ohm resistor requires a little more understanding, but not much more. One end of it is held at -12v, and the other end is at -20v. All a resistor is concerned with is the voltage difference across its terminals. So use maths to subtract one of those voltages from the other, and that tells you the voltage difference between those two points.
 
You should also note that those resistors are connected in a delta arrangement, one that is somewhat common in resistor network problems.

If need be, they can be converted to a wye arrangement to further simplify the analysis.

In the case I think because the analysis is so straightforward, no conversion is required.
 
jegues said:
You should also note that those resistors are connected in a delta arrangement, one that is somewhat common in resistor network problems.

If need be, they can be converted to a wye arrangement to further simplify the analysis.

In the case I think because the analysis is so straightforward, no conversion is required.

Careful, if you apply a transformation then the components will no longer be the same as the original circuit and you won't be able to find the power in those original components!
 

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