Potentiometer question: Finding Slider Position for Voltage Division Circuit

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Discussion Overview

The discussion revolves around a homework problem involving a voltage divider circuit with a potentiometer and a load resistor. Participants are attempting to determine the position of the slider on a 10kΩ potentiometer when the voltage across a 5kΩ load is 3 volts, given an input voltage of 9 volts. The conversation includes various approaches to solving the problem and clarifications regarding circuit configurations.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant calculates the ratio of output to input voltage as 3/9, suggesting a resistance position of 3.3Ω on the potentiometer.
  • Another participant questions the definition of "output voltage," implying it refers to the voltage at the node between the potentiometer and the load.
  • A participant proposes that the resistance of the potentiometer could be 6.6kΩ based on their understanding of the voltage division.
  • There is a suggestion to apply Kirchhoff's Voltage Law to analyze the circuit further.
  • Some participants note the ambiguity in the circuit configuration, indicating multiple possible connections of the components.
  • A participant expresses uncertainty about how to determine the slider position and admits to struggling with the concepts involved.
  • Another participant clarifies that for the specific circuit configuration being discussed, the slider is positioned 2/3 of the way down the potentiometer, leading to a voltage drop of 6 volts across the upper portion of the pot.

Areas of Agreement / Disagreement

Participants express differing views on the circuit configuration and the calculations involved. There is no consensus on the correct approach or final answer, as various interpretations and methods are presented.

Contextual Notes

Participants mention different circuit configurations and the need for clarity on the definitions used in the problem. There are unresolved calculations and assumptions regarding the relationships between the components.

brenfox
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Homework Statement


A circuit shows a 10kΩ Pot with a 5k Ω load. Determine the position of the slider on the pot when the voltage across the 5kΩ load is 3 volts. The input voltage is 9 volts.


Homework Equations





The Attempt at a Solution

Input voltage = 9 volts. Output voltage = 3 volts. Therefore the ratio of the resistance must be 3/9. Which equates to 1/3. So 10Ω/3 = 3.3Ω is the position of the Pot.
Am i on the right track? Any help would be appreciated.
 
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If by "output voltage" they mean the voltage at the node between the pot and the load ...

Then the 5k load is taking up 1/3 of the voltage, leaving 2/3 to the pot. So what is the resistance of the pot?
 
6.6k ohms?
 
Have you studied voltage dividers?

Or you can just apply the Kirchoff Voltage loop rule.
 
There are several different ways the components could be connected. Is it one of these?

attachment.php?attachmentid=63809&stc=1&d=13840246056.gif
 

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gneill said:
There are several different ways the components could be connected.

Really creative! I just assumed (d) - though I have seen most of the variations when assisting in the circuits lab.
 
It is circuit C. The voltage across the 10k pot is 9v. The voltage is 3 volts across the 5k resistor/load. Therefore positioning the slider at a certain point will result in the voltage output to be 3 volts. not sure how to determine this. voltage output = r1/r1+r2 which according to my calculations equals 6 kilohms. I am currently trying to get my head around kirchhoffs law etc. I apologise for my lack of understanding. This is an open university course and i am struggling!
 
So for circuit (c) the slider is positioned 2/3 of the way down - the 5k load is in parallel with the portion of the pot which is past the slider; that is, they both see 3 volts.

So the upper portion of the pot drops 6 volts. See your result from message #3.
 
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