> restart:with(stats):Digits:=4:with(plots):`ti`:=[seq(n*3,n=0..(63))]:nops(%):

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Introduction :

In this lab, we seek to determine if the relationship [Maple Math] holds when a capacitor is charged through a resistor. In combining this relation with the equation for charging a capacitor, we get the equation [Maple Math] . We can then transform this relation into [Maple Math] . We can then replace [Maple Math] with [Maple Math] and [Maple Math] with [Maple Math] to make the linear relation [Maple Math] . This line has a predicted slope of [Maple Math] and an intercept of [Maple Math] . After plotting this graph, we can compare the calculated terminal voltage and the calculated [Maple Math] with the values measured in the lab.

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Equipment :

See the John Abbott College Physics NYB Lab Manual for the winter 2000 semester for a complete equipment list

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Procedures :

See the John Abbott College Physics NYB Lab Manual for the winter 2000 semester for full procedures.

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Diagram :

Diagram 1

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Data :

Complete data available upon request E-mail me at j_con999@yahoo.com

[Maple Plot]

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Calculations

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% difference Calculations

Results

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Conclusion :

In this lab, we have proven that, within experimental uncertanty, the relation [Maple Math] does apply to a capacitor and a resistor when they are mounted in series. We did discover a linear relation with a slope and intercept comparable to our predicted values. While the percent differences between the measured and calculated values were reasonable in size, they were easily encompassed by the uncertainty of the calculated values.

The source of this uncertainty stems from slight variances in the terminal voltage of the power supply. As this value fluctuates, the rate of charging on the capacitor changes, this in turn alters the differential equation used to create our linear graph. The change in temperature in the resistance and the migration of electrons across the space separating the parallel plates of the capacitor are also not accounted for in our equations.