Calculating % Error in Magnetic Field

AI Thread Summary
To calculate the percentage error in the magnetic field, the user considers the measurements of distance and velocity. They assume the time measurement has zero error and calculate the velocity with an uncertainty of ±0.05 m/s. The percentage error is derived from the distance measurement, resulting in a value of 16.67%. The calculations are based on the formula for percentage error, which incorporates the uncertainties in the measurements. This approach provides a clear method for determining the accuracy of the magnetic field measurement.
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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 \pm 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 \pm 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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