PHY2CL Solutions Winter 2008

PHY2CL Solutions Winter 2008 - Solutions to Final Exam 2CL,...

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Solutions to Final Exam 2CL, Winter 2008. 1. The power P dissipated at two resistors R 1 and R 2 connected in series is P=I 2 (R 1 +R 2 ), where I is the applied current. A student measures R 1 =100 ± 4 and R 2 =15 ± 3 , while I=72 ± 5 mA. a) Calculate the value of P and its uncertainty. * (8 points) b) Which one of the uncertainties for parameters I, R 1 and R 2 contributes the most to the uncertainty of P? (2 points) * Reminder: Power is measured in Watts: 1 Watt = 1 Volt • 1 Ampere, or 1W= (1 A) 2 • 1 Solution: a) P=(72mA) 2 *(100+15) =0.596 W 0.60 W Answer: P=0.60 ± 0.09 W (2 points for correct value of P=0.60 W, and 6 points for arriving at correct value of uncertainty). 2. A student measures the discharge time constant for a capacitor 9 times, with the following results: t (ms): 4.40, 4.64, 4.29, 4.59, 4.47, 4.37, 4.61, 4.53 and 4.43. a) Assuming normal distribution of values, what is the best estimate for the true value of the time constant t and its uncertainty? (5 points)
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This note was uploaded on 06/04/2008 for the course PHYS 2CL taught by Professor Bodde during the Spring '08 term at UCSD.

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PHY2CL Solutions Winter 2008 - Solutions to Final Exam 2CL,...

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