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

In summary, the voltmeter reading in a circuit with a cell and voltmeter with extremely high resistance will approximately equal the emf of the cell due to the ratio of resistances and the resulting p.d. across the internal resistance being zero. This is due to the formula emf = terminal voltage - (current * internal resistance) and the fact that increasing the resistance of the load (by using a high resistance voltmeter) reduces the current to zero. Therefore, the terminal voltage will equal the emf, and the voltmeter reading will also equal the emf.
  • #1
MBBphys
Gold Member
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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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  • #2
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.
 
  • #3
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!
 
  • #4
What is your reasoning for that answer?
 
  • #5
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
 
  • #6
Correct.
 

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

1. What is EMF?

EMF stands for electromotive force and is a measure of the energy that causes electrons to flow through a circuit.

2. How can I find the EMF of a cell?

The EMF of a cell can be found by using a voltmeter to measure the potential difference between the positive and negative terminals of the cell.

3. Why is it important to find the EMF of a cell?

Finding the EMF of a cell is important because it can help determine the health and efficiency of the cell, as well as its ability to provide energy to a circuit.

4. What factors can affect the EMF of a cell?

The EMF of a cell can be affected by factors such as temperature, internal resistance, and the materials used in the cell's construction.

5. Can the EMF of a cell change over time?

Yes, the EMF of a cell can change over time due to factors such as aging, chemical reactions, and external influences.

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