Concept explainers
Measurements of the potential at points on the axis of a charged disk are given in the two tables below, one for measurements made close to the disk and the other for measurements made far away. In both tables x is the coordinate measured along the disk axis with the origin at the disk center, and the zero of potential is taken at infinity, (a) For each set of data, determine a quantity that, when you plot potential against it. Should yield a straight line. Make your plots, establish a best-fit line, and determine its slope. Use your slopes to find (b) the total charge on the disk and (c) the disk radius. (Hint: Consult Example 22.7.)
Table 1
x(mm) | 2.0 | 4.0 | 6.0 | 8.0 | 10.0 |
V(V) | 900 | 876 | 843 | 820 | 797 |
Table 2
x(cm) | 20 | 30 | 40 | 60 | 100 |
V(V) | 165 | 118 | 80 | 58 | 30 |
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