Does a Voltmeter Measure EMF Accurately in High Internal Resistance Scenarios?

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Homework Help Overview

The discussion revolves around the accuracy of a voltmeter reading in a circuit with a cell that has internal resistance and a voltmeter with extremely high resistance. The original poster questions whether the voltmeter reading can be considered equal to the electromotive force (emf) of the cell under these conditions.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the relationship between the voltmeter reading, terminal voltage, and emf, questioning the implications of high resistance in the voltmeter and its effect on current and voltage measurements.

Discussion Status

Some participants have provided reasoning regarding the relationship between terminal voltage and emf, suggesting that with an infinitely high resistance voltmeter, the current would be zero, leading to a scenario where the voltmeter reading approximates the emf. However, there is no explicit consensus on the correctness of this reasoning.

Contextual Notes

The discussion includes assumptions about the behavior of voltmeters in circuits with varying resistances and the implications of internal resistance on measurements. There are also indications of confusion regarding the structure of the original poster's question.

MBBphys
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Homework Statement


Say we have a circuit where a cell with internal resistance r is connected to a voltmeter with extremely high resistance. This means practically all of the p.d would be across the voltmeter as the ratio of its resistance to the internal resistance is, say, infinitely high.
So the voltmeter reading equals emf of cell?

Is this reasoning correct?
Thanks!

Homework Equations


(V1/V2=R1/R2)

The Attempt at a Solution


(n/a)
 
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MBBphys said:

Homework Statement


Say we have a circuit where a cell with internal resistance r is connected to a voltmeter with extremely high resistance. This means practically all of the p.d would be across the voltmeter as the ratio of its resistance to the internal resistance is, say, infinitely high.
So the voltmeter reading equals emf of cell?

Is this reasoning correct?
Thanks!

I can't tell from what you've written. Which part is the question, which part is the answer, and which part is the reasoning.
 
Mister T said:
I can't tell from what you've written. Which part is the question, which part is the answer, and which part is the reasoning.
Well, I am saying that, for the circuit described, the voltmeter reading will equal approximately the emf of the cell. Is this right? Thank you!
 
What is your reasoning for that answer?
 
Mister T said:
What is your reasoning for that answer?
Well, I thought that if the voltmeter reading was infinitely high:

We know:

emf = terminal voltage - (current * internal resistance)
Hence, if we increase the resistance of the load by putting a voltmeter with infinitely high resistance, current will be zero, so (current * internal resistance) will be zero, so the p.d. across the internal resistance would be zero, so the terminal voltage would equal the emf, and as the voltmeter reads the terminal voltage, the voltmeter reading will equal the emf.

Is that right? Thanks
 
Correct.
 

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