How Are These Resistors in Parallel

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Homework Help Overview

The discussion revolves around understanding the configuration of resistors in a circuit, specifically whether they are in series or parallel. The original poster is analyzing a textbook problem that involves finding the equivalent resistance of a circuit described as a voltage divider.

Discussion Character

  • Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • The original poster questions the treatment of resistors as being in parallel when they appear to be in series based on their node connections. Other participants suggest that clarifying the entire question may help address the confusion regarding the equivalent output resistance.

Discussion Status

The discussion is ongoing, with participants exploring the definitions and assumptions related to series and parallel resistor configurations. Some guidance has been offered regarding the interpretation of "equivalent output resistance," but no consensus has been reached on the correct approach to the problem.

Contextual Notes

The original question describes the circuit as a voltage divider, which typically implies a series configuration, yet the solution provided in the textbook uses a parallel resistance equation. This discrepancy is a focal point of the discussion.

FAS1998
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I’ve included an image of a solution to a problem from my textbook. Part of the problem is to find the equivalent resistance of the given circuit. In the solution they seem to be treating the resistors as if they were in parallel. I don’t understand why they are doing this.

For the two resistors to be in parallel would they not need to have both nodes in common? The resistors in the series don’t appear to have this property.

[Moderator's note: Moved from a technical forum and thus no template.]
 

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FAS1998 said:
I’ve included an image of a solution to a problem from my textbook. Part of the problem is to find the equivalent resistance of the given circuit. In the solution they seem to be treating the resistors as if they were in parallel. I don’t understand why they are doing this.

For the two resistors to be in parallel would they not need to have both nodes in common? The resistors in the series don’t appear to have this property.

[Moderator's note: Moved from a technical forum and thus no template.]
It might clarify matters if you post the whole question.
 
haruspex said:
It might clarify matters if you post the whole question.
Here’s the original question. It states that the circuit is a voltage divider, which I believe implies that the resistors are in series, and then the solution uses the equation for resistors in parallel to calculate the equivalent resistance.

I’ve seen similar things elsewhere in the textbook solutions so I assume I’m doing something wrong, and it’s not just a mistake in the solution.
 

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FAS1998 said:
Here’s the original question. It states that the circuit is a voltage divider, which I believe implies that the resistors are in series, and then the solution uses the equation for resistors in parallel to calculate the equivalent resistance.

I’ve seen similar things elsewhere in the textbook solutions so I assume I’m doing something wrong, and it’s not just a mistake in the solution.
The key is the meaning of "equivalent output resistance".
See if the answer given here helps:
https://electronics.stackexchange.com/questions/265800/voltage-divider-output-resistance?rq=1
 

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