| current I | B (mT) |
| 0.5 | |
| 1.0 | |
| 1.5 | |
| 2.0 | |
| length of coil | |
| number of turns N | |
| n = N/L | |
| Note the rounding to the 0.001 place in the I column; most of your recorded uncertainties were rounded to that place. For example you could have recorded 0.1320 +/1 (plus or minus) 0.0011453 for the current. | |
| Recall the graph paper has a least count of 0.002 mT. Thus, the above numbers can easily be plotted. If the last digit is even, the point lies exactly on a small division. If the last digit is odd, the point lies at the midpoint between two divisions. | |
| Thus mbest
= |
|
| mmax
=
|
|
| mmin = |
|
| Compute (mmax
- mmin ) =
|
|
| Compute LCy/(delta I) = (0.002)/(1.500) = 0.0013333 mT. | |
| Choose delta m as the
largest of the previous two: |
|
| Now the slope should be equal to uo*n, where uo is the magnetic permeability of free space and n is the number of turns per meter of the slinky. Note n = N/L, where N is the number of loops and L is the length. T | |
| Finally compare your
results with the actual, accepted measured uo*nacc
. Compute the percent difference which is the absolute
value of the difference divided by the average of the two. |
|
| Also check if the
accepted value falls within the range in a way defined by
this inequality: | uo*nbest - uo*nacc | < delta m + (uo*N/L2)*delta L, where delta L = 0.003 m. Watch your sig. figs. ! |
|