Parallel resistors and ammeter problem

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Homework Help Overview

The problem involves a scenario where a student connects a perfect ammeter in parallel with one of two identical resistors, resulting in a reading of 0.40 A. The question asks what the reading would have been if the ammeter were connected in series with the resistors, with the context indicating that the cell has negligible resistance.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the implications of connecting the ammeter in parallel versus series, with some questioning the current distribution in the resistors and others suggesting a simpler application of Ohm's Law.

Discussion Status

Some participants have offered guidance on the application of relevant laws, such as Kirchhoff's and Ohm's Law, while others are exploring the current behavior in the circuit. There is an ongoing examination of the concepts involved, but no explicit consensus has been reached.

Contextual Notes

There is a mention of the student's confusion regarding the current readings and the application of the laws discussed in the textbook, indicating a potential gap in understanding the circuit behavior.

Gregg
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Homework Statement



A student mistakenly connects a perfect ammeter (i.e one of negligible resistance), in parellel with one of the two of the two identical resistors. The ammeter reads of 0.40 A.
What would the reading have been if he had correctly connected the ammeter in series with two resistors? The cell also has negligible resistance.

http://upload.lhurgoyf.net/gal/Other/physics0908.JPG

Homework Equations



\Delta Q = I\Delta T
Kirchhoff's first law

The Attempt at a Solution



At this stage in the book, only the two relevant equations/law have been discussed. The answer is 0.20A but I'm not exactly sure why and how I would get this answer. It seems that it can only possibly be relevant to Kirchhoff's, the sum of the currents entering a junction must equal the sum leaving the junction.

The current in between the two resistors (before the junction) must be 0.40A then, so it seems that the reading on the ammeter should be 0.40A. I don't think I understand the concept properly, a clue would be good.
 
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Have you considered the current in the first resistor as shown in the diagram?
 
You're making this too complicated; as you suspected, you're not seeing the concept. You need only Ohm's Law at this point.
 
I=\frac{V}{R}

\therefore I \propto \frac{1}{R}

I_1 = \frac{V}{R} = 0.40

I_2 = \frac{V}{2R} = \frac{I_1}{2} = 0.20
 

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