Finding Internal Resistance of a Circuit

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Discussion Overview

The discussion revolves around finding the internal resistance of a circuit, specifically focusing on a homework problem involving the calculation of total resistance and the impact of measuring voltage with a digital multimeter (DMM). The scope includes technical explanations and mathematical reasoning related to circuit analysis.

Discussion Character

  • Homework-related
  • Technical explanation
  • Mathematical reasoning

Main Points Raised

  • One participant expresses uncertainty about their calculation of total resistance (Rt) and suggests that it should be 26.7 kohms by adding two resistors in series.
  • Another participant questions the clarity of the original post, noting that the participant did not specify which resistors were being referred to and suggests creating a sketch of the circuit.
  • A participant points out that the sketch provided by the original poster shows the DMM connected across the wrong resistor and emphasizes the need to measure voltage across the correct component.
  • There is a suggestion to calculate the current in the circuit and then determine the voltage across R2, considering the effect of the DMM's internal impedance on the circuit's total resistance.
  • Another participant confirms that the sketch aligns with their suggestion but reiterates that the DMM is incorrectly positioned in relation to the resistors.

Areas of Agreement / Disagreement

Participants generally agree on the need for clarity in circuit representation and the importance of correctly positioning the DMM. However, there is no consensus on the correct approach to calculating total resistance or the implications of the DMM's internal resistance on the circuit's behavior.

Contextual Notes

There are limitations in the discussion regarding the assumptions made about the circuit configuration, the specific resistors involved, and the mathematical steps required to arrive at a solution. The discussion also highlights the dependency on the correct interpretation of the circuit sketch.

Josh225
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Homework Statement


See image attached.

I am currently stuck on part b.

Homework Equations


(Rt) (Rint) / Rt + (Rint)

The Attempt at a Solution


I thought that Rt would be 26.7 kohms, but my answer is not matching up with the answer in the book. I am unsure why since the resistors are in series, so I figured I would just add the 2 values. Once I find that, I just plug in total resistance and internal resistance into the formula above. Then I would have to convert Mohms to kohms.
Does that sound right?

Thank you in advance
 

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Can I suggest you make a sketch circuit showing the DMM modeled as an ideal DMM and an 11M resistor.

You don't say what Rt is?
You mention resistors in series but don't say which ones you are talking about.
 
CWatters said:
Can I suggest you make a sketch circuit showing the DMM modeled as an ideal DMM and an 11M resistor.

You don't say what Rt is?
You mention resistors in series but don't say which ones you are talking about.
Im not 100% sure by what you mean by making a sketch. I thought 26.7 kilohms would be the total resistance within the circuit (by adding the 2 resistors together). If not, how would you do so?

Here is my sketch, but am unsure it this is what you were suggesting.
 

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Josh225 said:
Im not 100% sure by what you mean by making a sketch. I thought 26.7 kilohms would be the total resistance within the circuit (by adding the 2 resistors together). If not, how would you do so?

Here is my sketch, but am unsure it this is what you were suggesting.
Part (b) of the question asks you to measure V2 assuming an internal impedance of 11M in the meter. Your sketch shows the meter across the wrong resistor.

I would suggest you calculate the current in the circuit in the usual way, then calculate the voltage (theoretically) across R2. Once you have done that, measuring the voltage with the meter effectively places two resistors in parallel. So what do you think would happen to the circuit current if you change the effective resistance of R2? And if the current is different, what would happen to the voltage drop across R2, would it be the same as you calculated in part (a)?
 
Yes your sketch is exactly what I meant but as Numbskull said you have the meter across the wrong resistor.
 

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