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You measure the electric field strength at points directly above the center of a square plate carrying charge spread uniformly over its surface. The data are tabulated in the next column, with x the perpendicular distance from the center of the plate. Use the data to determine (a) the total charge on the plate and (b) the plate’s size. Hint: You’ll need to consider separately data taken close to the plate and also far away. For the latter, plot E versus a quantity that should yield a straight line.
x(cm) | 0.01 | 0.01 | 1.2 | 6.0 | 12.0 | 24.0 | 480. | 72.0 | 96.0 | 120 | 240 |
E(N/C) | 5870 | 5860 | 4840 | 1960 | 754 | 221 | 57.6 | 26.7 | 16.1 | 8.45 | 2.34 |
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