Question

The final step of experiment in Lab6 is to estimate the systematic uncertainty of your final measurement due to the variations of the parameters you measured in the lab. Equations (6.7) and (6, 8) in your lab manual give expressions for e/m and the relative error of e/m due to all of the parameters measured in the lab. (Sigma _e/m/e/m)^2 = (sigma _v/V)^2+(2 sigma _O/I^2+2 sigma _R/R)^2+(2 sigma _r/r))^2 Term # 1 2 3 4 Assume your mean measurements of voltage were V =387plusminus 1V current I=2.38 plusminus A, coils radius R =13.9 plusminus t 0.3cm, and curvature of the electron trajectory r= 7.1 plus minus 0.2cm What are the numerical values of each term in formula of the relative uncertainty above? Term 1 = times10^-5 Term 2 = times 10^-5 Term 3 = times 10^-5 Term 4 = times 10^-5 Look at the numbers above and, assuming that the final relative error needs to be reported as rounded to the nearest integer, make a time saving, intelligent decision on how many terms to keep in your final answer and write the value below. (sigma _e/m/e/m) = %

Answer 1