How Are These Resistors in Parallel

Click For Summary
SUMMARY

The discussion centers on the confusion regarding the calculation of equivalent resistance in a voltage divider circuit involving resistors. The original problem suggests that the resistors are in series, yet the solution applies the formula for resistors in parallel. The key concept highlighted is the interpretation of "equivalent output resistance," which can lead to the use of parallel resistance calculations even when resistors are not directly in parallel. This clarification is essential for understanding circuit analysis in voltage divider configurations.

PREREQUISITES
  • Understanding of voltage divider circuits
  • Knowledge of series and parallel resistor configurations
  • Familiarity with equivalent resistance calculations
  • Basic principles of electrical circuits
NEXT STEPS
  • Study the concept of "equivalent output resistance" in voltage dividers
  • Learn about the application of Thevenin's theorem in circuit analysis
  • Explore resistor network simplification techniques
  • Review textbook examples of voltage dividers and their solutions
USEFUL FOR

Electrical engineering students, circuit designers, and anyone involved in analyzing or designing voltage divider circuits will benefit from this discussion.

FAS1998
Messages
49
Reaction score
1
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.]
 

Attachments

  • 2D28AAC6-E94D-421A-B08F-FBAD8BAD3E64.jpeg
    2D28AAC6-E94D-421A-B08F-FBAD8BAD3E64.jpeg
    20.9 KB · Views: 202
Last edited by a moderator:
Physics news on Phys.org
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.
 

Attachments

  • B80E3672-F0D8-4F65-9079-D7956C4473D8.jpeg
    B80E3672-F0D8-4F65-9079-D7956C4473D8.jpeg
    41.7 KB · Views: 195
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
 

Similar threads

  • · Replies 3 ·
Replies
3
Views
839
  • · Replies 1 ·
Replies
1
Views
1K
Replies
20
Views
2K
Replies
3
Views
2K
Replies
10
Views
1K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
9
Views
2K
  • · Replies 14 ·
Replies
14
Views
1K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K