205Final - Physics 211L Final exam January 9, 2008 Name:_...

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Physics 211L Final exam January 9, 2008 Name:____________________________ Section number:___________________ Instructor’s Name:__________________ ID number:_________________________ DO NOT START THE EXAM BEFORE YOU ARE TOLD TO BEGIN Grading I II-1 II-2 II-3 TOTAL The duration of this exam is 60 minutes . No notes or books allowed. Scientific calculators are allowed All results should be given with the exact number of significant figures. _____________________________________________________________________ 1
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I. (55%) In order to measure the capacitance of an unknown capacitor, the following circuit is connected: At t=0 the switch is closed, the readings of the voltmeter were recorded every 5 seconds with the following outcome: t(seconds) V(Volts) 0 12.00 5 3.210 10 0.920 15 0.273 20 0.082 25 0.019 Note that the resistor has 4% tolerance. You may find the formulae on page 4 useful. a- Derive the relationship between V and t. b- Choose your variables such that you obtain a linear relationship between them. Switch C Voltmeter R V 8 Ω × 5 10 12V Power Supply 2
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c- Use linear regression to find the slope of your line along with its error.
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205Final - Physics 211L Final exam January 9, 2008 Name:_...

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