Ammeter and Voltmeter in Series

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Homework Help Overview

The discussion revolves around a circuit involving a battery of emf 12 V, a resistor of 6 Ω, an ideal ammeter, and an ideal voltmeter, with the ammeter and voltmeter connected in series with the battery and resistor. Participants explore the implications of this configuration on the readings of the ammeter and voltmeter.

Discussion Character

  • Conceptual clarification, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the typical configurations of ammeters and voltmeters, questioning the effects of connecting a voltmeter in series rather than parallel. There are attempts to reason through the expected readings based on the properties of ideal measuring devices.

Discussion Status

The conversation has progressed with participants providing insights into the behavior of ideal voltmeters and ammeters. Some have suggested that the infinite resistance of the voltmeter would prevent current flow, leading to specific readings, while others have raised questions about the implications of this setup. There is an ongoing exploration of the effects of different configurations on the circuit.

Contextual Notes

Participants are considering the properties of ideal measuring devices and how these properties affect circuit behavior. There is an exercise proposed regarding the consequences of connecting the components in parallel, which has prompted further discussion on potential outcomes.

Devs

Homework Statement


Hi! A battery of emf 12 V and negligible internal resistance is connected to a resistor of constant resistance 6 Ω, an ideal ammeter and an ideal voltmeter. The voltmeter and ammeter are in series with the cell and the resistor. What is the reading on each?

Homework Equations

The Attempt at a Solution


I realize that an ammeter is always in series but a voltmeter is always in parallel.
 
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Devs said:
I realize that an ammeter is always in series but a voltmeter is always in parallel.

Correct. A volt meter is normally connected in parallel... but not in this question. What effect would that have?
 
CWatters said:
Correct. A volt meter is normally connected in parallel... but not in this question. What effect would that have?

I thought that the reading on the voltmeter would be 0 and the ammeter will have a reading of 2A. But that isn't correct
 
No that's not correct. What are the properties of an _ideal_ voltmeter?
 
CWatters said:
No that's not correct. What are the properties of an _ideal_ voltmeter?

An ideal voltmeter has infinite resistance while an ideal ammeter has zero resistance.
 
So what happens if you put an infinite resistance in series with a 12V source and a 6R resistor?
 
CWatters said:
So what happens if you put an infinite resistance in series with a 12V source and a 6R resistor?
I am not sure but it will have infinite voltage and 2A current?
 
No. Revise how to add resistors that are in series. For example a 100R and a 200R in series is equivalent to a 300R.
 
CWatters said:
No. Revise how to add resistors that are in series. For example a 100R and a 200R in series is equivalent to a 300R.

So we add resistance when in series which gives us 0A because anything over infinity will limit to 0. And the voltage will equal 12?
 
  • #10
Correct.

The infinite resistance of the ideal voltmeter stops any current flowing. So the ammeter reads 0A.
If no current is flowing there is no voltage drop across the 6R so the voltmeter "sees" the full 12V.

If you fancy an exercise... What would happen if the 12V battery, 6R, ammeter and voltmeter were all in parallel with each other rather than series? (Hint: Don't try it at home).
 
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  • #11
CWatters said:
Correct.

The infinite resistance of the ideal voltmeter stops any current flowing. So the ammeter reads 0A.
If no current is flowing there is no voltage drop across the 6R so the voltmeter "sees" the full 12V.

If you fancy an exercise... What would happen if the 12V battery, 6R, ammeter and voltmeter were all in parallel with each other rather than series? (Hint: Don't try it at home).
Thanks a lot!

Regarding the exercise...since they are all in parallel, an extremely high level of voltage will pass through the ammeter causing it to blow up.
 
  • #12
Devs said:
Regarding the exercise...since they are all in parallel, an extremely high level of voltage current will pass through the ammeter causing it to blow up.

Yes. This is one reason why it is good practice to leave a multi-meter on a voltage setting when you finish using it. It would be very easy to leave it set on Amps and then next time you pick it up and go to measure the voltage of a battery and...
 

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