Refer to Problem 8.5. If the voltage and current (in amps) for three pairs of measurements are (V.) = (-5.2.-0.50). (0.3,0.00), and (5.5.0.50), what is the resistance (in ohms) inferred from Ohm's law fo these three measurements? What is the uncertainty in the resistance? 8.5. ** Line Through the Origin. Suppose two variables x and y are known to satisfy a relation y = Bx. That is, y x x, and a graph of y vs x is a line through the origin. (For example, Ohm's law, V= RI, tells us that a graph of voltage V vs current I should be a straight line through the origin.) Suppose further that you have N measurements (r, v.) and that the uncertainties in r are negligible and those in v
Refer to Problem 8.5. If the voltage and current (in amps) for three pairs of measurements are (V.) = (-5.2.-0.50). (0.3,0.00), and (5.5.0.50), what is the resistance (in ohms) inferred from Ohm's law fo these three measurements? What is the uncertainty in the resistance? 8.5. ** Line Through the Origin. Suppose two variables x and y are known to satisfy a relation y = Bx. That is, y x x, and a graph of y vs x is a line through the origin. (For example, Ohm's law, V= RI, tells us that a graph of voltage V vs current I should be a straight line through the origin.) Suppose further that you have N measurements (r, v.) and that the uncertainties in r are negligible and those in v
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter1: Units And Measurement
Section: Chapter Questions
Problem 15P: Use the orders of magnitude you found in the previous problem to answer the following questions to...
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![Refer to Problem 8.5. If the voltage and current (in amps) for three pairs of measurements are (V.I) = (-5.2.-0.50). (0.3.0.00), and (5.5.0.50), what is the resistance (in ohms) inferred from Ohm's law for
these three measurements?
What is the uncertainty in the resistance?
8.5. ** Line Through the Origin. Suppose two variables x and y are known to
satisfy a relation y = Bx. That is, y x x, and a graph of y vs x is a line through the
origin. (For example, Ohm's law, V = RI, tells us that a graph of voltage V vs
current I should be a straight line through the origin.) Suppose further that you have
N measurements (x;, y;) and that the uncertainties in x are negligible and those in y
are all equal. Using arguments similar to those of Section 8.2, prove that the best
estimate for B is](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1edfaa79-a53d-4a9b-bf14-dac1b40e4d3d%2F2880700f-7d91-4413-b293-47562a3477f8%2F0fwjfmm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Refer to Problem 8.5. If the voltage and current (in amps) for three pairs of measurements are (V.I) = (-5.2.-0.50). (0.3.0.00), and (5.5.0.50), what is the resistance (in ohms) inferred from Ohm's law for
these three measurements?
What is the uncertainty in the resistance?
8.5. ** Line Through the Origin. Suppose two variables x and y are known to
satisfy a relation y = Bx. That is, y x x, and a graph of y vs x is a line through the
origin. (For example, Ohm's law, V = RI, tells us that a graph of voltage V vs
current I should be a straight line through the origin.) Suppose further that you have
N measurements (x;, y;) and that the uncertainties in x are negligible and those in y
are all equal. Using arguments similar to those of Section 8.2, prove that the best
estimate for B is
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ISBN:
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