current (A) Resistance (Ω) Voltage drop (V) 24cm 1 17.8 0.238 22cm 1 17.8 0.217 20cm 1 17.8 0.199 18cm 1 17.8 0.178 16cm 1 17.8 0.158 14cm 1 17.8 0.140 12cm 1 17.8 0.118 10cm 1 17.8 0.100 8cm 1 17.8 0.080 6cm 1 17.8 0.059 4cm 1 17.8 0.040 According to Ohm's law and the data above, the measured voltage V will be proportional to the length of the wire L with a slope b such that V= bL b=Iρ/(πD^2/4) ρ=b(πD^2/4)/ I Use Desmos to plot a graph of  V  versus the values of  L .    Is V linearly dependent on the length  L?  Find the best fit to the slope b and then calculate the resistivity of stainless steel. From this slope, what is the resistivity of stainless steel?

Introductory Circuit Analysis (13th Edition)
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Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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current (A)

Resistance (Ω)

Voltage drop (V)

24cm

1

17.8

0.238

22cm

1

17.8

0.217

20cm

1

17.8

0.199

18cm

1

17.8

0.178

16cm

1

17.8

0.158

14cm

1

17.8

0.140

12cm

1

17.8

0.118

10cm

1

17.8

0.100

8cm

1

17.8

0.080

6cm

1

17.8

0.059

4cm

1

17.8

0.040

According to Ohm's law and the data above, the measured voltage V will be proportional to the length of the wire L with a slope b such that

V= bL

b=Iρ/(πD^2/4)

ρ=b(πD^2/4)/ I

Use Desmos to plot a graph of  V  versus the values of  L .   

Is V linearly dependent on the length  L? 

Find the best fit to the slope b and then calculate the resistivity of stainless steel.

From this slope, what is the resistivity of stainless steel?

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