Calculating % Error in Magnetic Field

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SUMMARY

The discussion focuses on calculating the percentage error in the magnetic field using specific measurements and error propagation techniques. The user provided measurements of x1 as 0.6 cm with an uncertainty of ±0.1 cm and calculated the velocity v1 as 0.3 m/s. The percentage error was determined using the formula (delta x / x1) * 100, resulting in a percentage error of 16.67%. The user also clarified that the time measurement of 0.02 s was assumed to have zero error.

PREREQUISITES
  • Understanding of error propagation in measurements
  • Familiarity with basic physics concepts related to magnetic fields
  • Knowledge of percentage error calculations
  • Ability to interpret and manipulate scientific data
NEXT STEPS
  • Study error propagation techniques in experimental physics
  • Learn about magnetic field measurement methods
  • Explore advanced statistical methods for analyzing measurement uncertainties
  • Investigate the impact of measurement errors on experimental results
USEFUL FOR

Students in physics, laboratory technicians, and researchers involved in experimental design and data analysis, particularly those focusing on magnetic field measurements and error analysis.

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Homework Statement


Hello. One section of my lab requires me to calculate the percentage error in the magnetic field at the closest separation.

My data for that point in time are as follows:

x1=0.6 cm [tex]\pm[/tex] 0.1 cm
v1=0.006 m/0.02 s = 0.3 m/s


Homework Equations



Rule2.gif


where delta x, y, z are the errors in measurement
and x, y, z are the actual measurements

The Attempt at a Solution



Would I be correct in assuming that my time, 0.02 s, has an error of zero? Then

delta z = 0.3 (0.001/0.006)
delta z = 0.05

so v1= 0.3 m/s [tex]\pm[/tex] 0.05 ?
 
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The percentage error of the magnetic field can be calculated by:percentage error = (delta x / x1) * 100percentage error = (0.1 / 0.6) * 100percentage error = 16.67%
 

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