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.

Step by Step Solution

3.33 Rating (153 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

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

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Statistics Engineers Scientists Questions!