Equation 5 has the form y = b + mx, the equation for a line with y intercept b and slopem. Therefore, if one plots the natural log of the current (on the y axis) versus the time (on the axis), one can determine the RC time constant from the negative inverse of the slope. For each of the charging experiments, graph your results in this way (use the average current values from your two trials) and determine the RC time constants. Compare these experimental values to what you get by plugging in the known values directly. The data may be plotted in the same way (natural log of current versus time) with a slope equal to -1/RC. Plot your data in this way (use the average current values from your two trials) and determine the RC time constant from the slope of the graph. Compare this experimental value to what you get by plugging in the known values directly.

Circuit Time (s) Trial 1 Trial 2 Average Ln Resistance Current Current Current (average (units) (units) (units) current) 20 12.4 12.2 12,2 2.51 40 10 .9 10.7 2,38 3 MQ 60 9.5 9.4 9.45 2, 25 80 8.4 8.2 8. 3 2.12 100 7,3 7.2 7.2s 1. 95 10 40.8 40.5 4 0 GS 3.70 20 21.9 21. 8 2185 3. 0 8 300 kn 30 1. 2 LL.2S 2.92 40 5.8 5.65 50 3.0 3.0 3,0 1.20 10 41,2 43 1 44.1 42, 4 20 1418 31.1 31,C 200 kn 30 5. G 12.4 12.1 12 4 9 40 1.9 3.8 4,1 1,42 50 G1 6 1.6 1.4 0, 34