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The expressions for e/m and the relative error of e/m due to all of the parameters measured:
(σ ₑ/ₘ) / (e/m) = (σᵥ /V)² + (2 σᵢ /ɪ)² + (2 σʀ /R)² + (2 σᵣ /r)²
Term # 1 2 3 4
Assume your mean measurements of voltage were V-403 ± 1V, current 1-2.35 ± 0.01A, coils radius R-14.4 ± 0.3cm, and curvature of the electron trajectory r = 7.1 ± 0.2cm.
What are the numerical values of each term in the formula of the relative uncertainty above? (HINT: consult Appendix C in your manual.)
Term 1 = .616 × 10^(-5)
Term 2 = 7.24 × 10^(-5)
Term 3 = 174 × 10^(-5)
Term 4 = 317 × 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. (HINT: values that are smaller by a factor of x10 or more generally will not contribute to the final result.)
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The expressions for e/m and the relative error of e/m due to all of the parameters measured:
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