Resistivity Coursework problem

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Homework Help Overview

The discussion revolves around a physics coursework problem focused on measuring the resistivity of Constantan. The original poster presents their experimental setup, including measurements of current, voltage, and calculated resistance, while seeking assistance in identifying potential errors in their calculations.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • The original poster details their methodology for calculating resistivity, including measurements and formulas used. Some participants question the units of the measurements and their impact on the results. Others suggest verifying the accuracy of the current and voltage readings.

Discussion Status

The discussion is ongoing, with participants exploring various aspects of the measurements and calculations. There is a focus on verifying the experimental data and its implications for the resistivity calculations. No consensus has been reached yet.

Contextual Notes

Participants are considering the implications of using multimeters set to specific ranges and how this may affect the readings. There is an acknowledgment of the potential discrepancies between calculated and expected resistance values based on the resistivity of Constantan.

emikkime
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OK doing some physics coursework at the moment where I have to measure the resistivity of Constantan. Anyway, for those who don't know, the resistivity of constantan is 49x10^-8.

Anyway the formula for those who don't know for resistivity is...

RA/l

So anyway at length of 100cm, with a diameter of 0.464mm, I got these readings in a circuit. Current = 0.33, Voltage = 2.13, which gives the resistance as 6.45. (I did repeat readings to get an average but this is just one reading as an example.)

Anyway after finding the Cross-sectional area of the constantan by doing A=pi*r^2. Now to do this, I halve the diameter to get 0.232mm. This is the same as 0.000232m (metres). So after squaring this I get, 5.3824^-8. After multiplying this by pi, I get the cross-sectional area to be 1.69...^-7. Multiply the cross-sectional area by the resistance (6.45) which gives 1.09...^-6. Finally dividing by the length (1metre), which leaves the same answer.

I know this is a lot to read, and I'm asking a lot for help, but please, can you find what I've done wrong, or anything?

I really appreciate all help :smile:
 
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Current = 0.33, Voltage = 2.13,

What are the units? check the units
 
Not quite sure now. Using multimeters at college, I think the ampmeter was set to "10A" and the voltmeter on "20V"

How would this affect the readings?

Would this mean that I'd have to halve my readings of p.d. before putting them into the formula R=V/I to work out Resistance. If yes, then that would make sense, as I did a quick test and using a halved p.d. gives a final value of resistivity very close to the real value.

Thanks in advance.
 
Last edited:
If you use the given value of [itex]\rho[/itex] and the length and area of your wire to compute an expected resistance you will find a signifiant difference. You need to verify your current and voltage data.
 
So you're guessing that it's my current/voltage readings which are incorrect somehow?
 

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