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?
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)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Question
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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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