Question: Refer to Exercise 14. Assume that l = 10.0 cm 0.5% and d = 10.4 cm 0.5%. a. Estimate R, and find the
Refer to Exercise 14. Assume that l = 10.0 cm ± 0.5% and d = 10.4 cm ± 0.5%.
a. Estimate R, and find the relative uncertainty in the estimate.Does the relative uncertainty dependonk?
b. Assume that either l or d can be remeasured with relative uncertainty 0.2%. Which should be remeasured to provide the greater improvement in the relative uncertainty of the resistance?
Data from 14
The resistance R (in ohms) of a cylindrical conductor is given by R = kl/d2, where l is the length, d is the diameter, and k is a constant of proportionality. Assume that l = 14.0 ± 0.1 cm and d = 4.4 ± 0.1 cm.
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a l 100 l l 0005 d 104 d d 0005 R kld 2 00925k ln R ln k ln l 2 ln d R 00925k 1... View full answer
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