Now, let's assume that we measure the values of the individual resistors directly and are able to reduce the uncertainty in these values:

R_1 = 67.7 +/- 0.5 Ohms
R_2 = 51.3 +/- 0.4 Ohms

What can you conclude about the comparison between the model and the experimental results?

a. The model is not consistent with the experimental result

b. The comparison is inconclusive

c. The model is consistent with the experimental result

Transcribed Image Text:

In the questions that follow, consider the following hypothetical results for an experiment similar to the one you designed and conducted this past week: Ben and Jerry developed the following model for the equivalent resistance of two resistors in series: (1.05* R_1) + (0.95 * R_2) R_eq = Then, they tested their model using 68 ohm and 51 ohm resistors. They used the manufacturer's specified tolerances as an estimate of the uncertainty in the true values of the resistances: R_1 = 68 Ohms +/- 5% R_2 = 51 Ohms +/- 5% The result of their measurement of the equivalent resistance of this circuit is: R_eq = 115.7 +/- 0.5 Ohms In the questions that follow, consider the following hypothetical results for an experiment similar to the one you designed and conducted this past week: Ben and Jerry developed the following model for the equivalent resistance of two resistors in series: (1.05* R_1) + (0.95 * R_2) R_eq = Then, they tested their model using 68 ohm and 51 ohm resistors. They used the manufacturer's specified tolerances as an estimate of the uncertainty in the true values of the resistances: R_1 = 68 Ohms +/- 5% R_2 = 51 Ohms +/- 5% The result of their measurement of the equivalent resistance of this circuit is: R_eq = 115.7 +/- 0.5 Ohms

Answer rating: 100% (QA)

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