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

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SUMMARY

The discussion confirms that a voltmeter connected to a cell with high internal resistance will read approximately equal to the electromotive force (emf) of the cell. This conclusion is based on the principle that with an infinitely high resistance voltmeter, the current approaches zero, resulting in no voltage drop across the internal resistance of the cell. Consequently, the terminal voltage equals the emf, which the voltmeter measures. This reasoning aligns with the equation emf = terminal voltage - (current * internal resistance).

PREREQUISITES
  • Understanding of electromotive force (emf) and terminal voltage
  • Knowledge of internal resistance in electrical circuits
  • Familiarity with voltmeter operation and resistance concepts
  • Basic grasp of Ohm's Law and circuit analysis
NEXT STEPS
  • Study the impact of internal resistance on circuit performance
  • Learn about different types of voltmeters and their specifications
  • Explore the relationship between current, voltage, and resistance in circuits
  • Investigate practical applications of measuring emf in real-world scenarios
USEFUL FOR

Students in physics, electrical engineers, and anyone interested in understanding the principles of voltage measurement in circuits with high internal resistance.

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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