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

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Refer to Problem 8.5. If the voltage and current (in amps) for three pairs
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
%3D
cstimate for B is
Transcribed Image Text:Refer to Problem 8.5. If the voltage and current (in amps) for three pairs 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 %3D cstimate for B is
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