# Potentiometer question.

## 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.

## 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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UltrafastPED
Gold Member
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?

UltrafastPED
Gold Member
Have you studied voltage dividers?

Or you can just apply the Kirchoff Voltage loop rule.

gneill
Mentor
There are several different ways the components could be connected. Is it one of these? #### Attachments

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UltrafastPED
Gold Member
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 kirchoffs law etc. I apologise for my lack of understanding. This is an open university course and i am struggling!

UltrafastPED
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