A sequence of potential differences V is applied across a wire (diameter = 0.32 mm, length = 11 cm) and the resulting currents I are measured as follows: V (V) I (mA) 0.100 0.200 0.300 0.400 0.500 72 142 218 290 357 (a) If this wire obeys Ohm's law, graphing I vs. V will result in a straight-line plot. Explain why this is so and determine the theoretical predictions for the straight line's slope and y-intercept. (b) Plot I vs. V. Based on this plot, can you conclude that the wire obeys Ohm's law (i.e., did you obtain a straight line with the expected y-intercept, within the values of the significant figures)? If so, determine the wire's resistance R. (c) Calculate the wire's resistivity and use Table 18–1 to identify the solid material from which it is composed. TABLE 18–1 Resistivity and Temperature Coefficients (at 20°C) Resistivity, ρ (Ω.m) Temperature Coefficient, a (C°)-' Material Conductors Silver 1.59 × 10-8 0.0061 Сopper 1.68 × 10-8 0.0068 Gold 2.44 × 10-8 0.0034 Aluminum 2.65 × 10-8 0.00429 Tungsten 5.6 x 10-8 0.0045 Iron 9.71 × 10-8 0.00651 Platinum 10.6 x 10-8 0.003927 × 10-8 х 10-8 Mercury Nichrome (Ni, Fe, Cr alloy) Semiconductors Carbon (graphite) 98 0.0009 100 0.0004 (3–60) × 10-5 (1–500) × 10-3 -0.0005 Germanium -0.05 Silicon 0.1-60 -0.07 Insulators Glass 10°–1012 Hard rubber 1013 – 1015 * Values depend strongly on the presence of even slight amounts of impurities.
A sequence of potential differences V is applied across a wire (diameter = 0.32 mm, length = 11 cm) and the resulting currents I are measured as follows: V (V) I (mA) 0.100 0.200 0.300 0.400 0.500 72 142 218 290 357 (a) If this wire obeys Ohm's law, graphing I vs. V will result in a straight-line plot. Explain why this is so and determine the theoretical predictions for the straight line's slope and y-intercept. (b) Plot I vs. V. Based on this plot, can you conclude that the wire obeys Ohm's law (i.e., did you obtain a straight line with the expected y-intercept, within the values of the significant figures)? If so, determine the wire's resistance R. (c) Calculate the wire's resistivity and use Table 18–1 to identify the solid material from which it is composed. TABLE 18–1 Resistivity and Temperature Coefficients (at 20°C) Resistivity, ρ (Ω.m) Temperature Coefficient, a (C°)-' Material Conductors Silver 1.59 × 10-8 0.0061 Сopper 1.68 × 10-8 0.0068 Gold 2.44 × 10-8 0.0034 Aluminum 2.65 × 10-8 0.00429 Tungsten 5.6 x 10-8 0.0045 Iron 9.71 × 10-8 0.00651 Platinum 10.6 x 10-8 0.003927 × 10-8 х 10-8 Mercury Nichrome (Ni, Fe, Cr alloy) Semiconductors Carbon (graphite) 98 0.0009 100 0.0004 (3–60) × 10-5 (1–500) × 10-3 -0.0005 Germanium -0.05 Silicon 0.1-60 -0.07 Insulators Glass 10°–1012 Hard rubber 1013 – 1015 * Values depend strongly on the presence of even slight amounts of impurities.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
Related questions
Question
Transcribed Image Text:A sequence of potential differences V is applied across
a wire (diameter = 0.32 mm, length = 11 cm) and the
resulting currents I are measured as follows:
V (V)
I (mA)
0.100
0.200
0.300
0.400
0.500
72
142
218
290
357
(a) If this wire obeys Ohm's law, graphing I vs. V will result
in a straight-line plot. Explain why this is so and determine
the theoretical predictions for the straight line's slope and
y-intercept. (b) Plot I vs. V. Based on this plot, can you
conclude that the wire obeys Ohm's law (i.e., did you
obtain a straight line with the expected y-intercept, within
the values of the significant figures)? If so, determine the
wire's resistance R. (c) Calculate the wire's resistivity and
use Table 18–1 to identify the solid material from which it
is composed.
Transcribed Image Text:TABLE 18–1 Resistivity and Temperature Coefficients (at 20°C)
Resistivity,
ρ (Ω.m)
Temperature
Coefficient, a (C°)-'
Material
Conductors
Silver
1.59 × 10-8
0.0061
Сopper
1.68 × 10-8
0.0068
Gold
2.44 × 10-8
0.0034
Aluminum
2.65 × 10-8
0.00429
Tungsten
5.6 x 10-8
0.0045
Iron
9.71 × 10-8
0.00651
Platinum
10.6 x 10-8
0.003927
× 10-8
х 10-8
Mercury
Nichrome (Ni, Fe, Cr alloy)
Semiconductors
Carbon (graphite)
98
0.0009
100
0.0004
(3–60) × 10-5
(1–500) × 10-3
-0.0005
Germanium
-0.05
Silicon
0.1-60
-0.07
Insulators
Glass
10°–1012
Hard rubber
1013 – 1015
* Values depend strongly on the presence of even slight amounts of impurities.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
Recommended textbooks for you
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON