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;, yi) 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 %3D

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;, yi) 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 %3D

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter29: Solid-state Electronics

Section: Chapter Questions

Problem 65A

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