Combined resistance of a cell and an ammeter

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SUMMARY

The discussion focuses on the combined resistance of a cell and an ammeter in a circuit experiment using a 1.5V cell and a 0-1A ammeter. The experiment involved measuring current and resistance for varying lengths of a 105cm wire, both with and without an additional 20cm wire in the circuit. The results indicated that the y-intercept of the plotted graph, representing the resistance of the cell and ammeter, can indeed be zero, suggesting that their resistances are equal. This finding confirms the theoretical basis of the experiment and validates the accuracy of the measurements taken.

PREREQUISITES
  • Understanding of Ohm's Law (V = IR)
  • Familiarity with basic circuit components (cell, ammeter, switch)
  • Knowledge of resistance measurement techniques
  • Ability to plot and interpret graphs in physics
NEXT STEPS
  • Explore the concept of series and parallel circuits in detail
  • Learn about the characteristics of different types of ammeters
  • Investigate the impact of wire gauge on resistance
  • Study the principles of graphing in experimental physics, focusing on linear relationships
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Students conducting physics experiments, educators teaching circuit theory, and anyone interested in understanding the principles of resistance in electrical circuits.

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[SOLVED] Combined resistance of a cell and an ammeter

Homework Statement



I had to do a lab where a 105cm 28 swg wire was used to find the combined resistance of a cell and an ammeter. The only apparatus was a switch, 1.5v cell, 0-1A ammeter, 105cm & 20cm wires and connecting wires.

Switch, cell and ammeter are connected in series, and the 105cm wire is connected at the ends of the switch and ammeter. For 6 different lengths of the wire, the current readings are recorded. After that, the 20cm wire is inserted between the switch and the cell in the circuit, and the current readings are recorded for the same lengths of the 105cm once more.

Results:

For lengths increasing from 15cm to 90cm:

Current without 20cm in circuit/A:
0.36, 0.30, 0.26, 0.22, 0.20, 0.16

Resistance without 20cm in circuit/Ohms:
4.17, 5.00, 5.77, 6.82, 7.50, 9.38

Current with 20cm in circuit/A:
0.24, 0.22, 0.20, 0.18, 0.16, 0.12

Resistance with 20cm in circuit/Ohms:
6.25, 6.82, 7.50, 8.33, 9.38, 12.50

Homework Equations



Two graphs were plotted of the equation R = k(1/S) - r

Where R is the resistance of the length of the 105cm wire, k is a constant, S is the current reading and r is the resistance of the other components in the circuit, assuming the connecting wires have negligible resistance.

The Attempt at a Solution



Well, I've plotted both graphs of R against 1/S; finding R from V/I for the observations. k is the gradient, and it's the same value on both graphs, 1.5. It was advised to extend the y-axis (R) to -2 ohms. -r, the y intercept and the resistance of the cell and ammeter that I am supposed to find is zero on both graphs. Is this possible? Can it really be zero?

I'm wondering if my teacher set up the lab to give this value by changing the suggested wires to be used in the experiment, to test a skill we're supposed to be assessed by in our labs. I just want to know if it's realistic to get a dead zero y-intercept for a graph of this equation, or if I measured something incorrectly during the lab.

Any help would be appreciated! Thanks!
 
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[SOLVED]Yes, it is possible to get a y-intercept of zero with this equation. The value of r in this case is the sum of the resistances of the cell and ammeter, which can indeed be zero if their resistances are equal.
 

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