Ohm's law - Date:__08/03/2007__ Physics 211L Ohms Law Name:...

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Unformatted text preview: Date:__08/03/2007__ Physics 211L Ohms Law Name: __Sarah Karam _______________________ Section number: __-1- ____________ Partners Name: ___Toni Kondakji _____________ Instructor: __Ms. Sarah Najm__ Part I. Computer-aided measurements A- Ohmic devices- passive resistor: Determination of the resistance using the I-V curve: R = 10 R = 33 I (A) V (V) I (A) V (V) 0.096 0.98 0.03 0.98 0.201 1.959 0.06 1.993 0.285 3.007 0.08 2.568 0.235 2.339 0.09 2.973 Use linear regression to determine the experimental value for each resistance along with its root-mean-square error. Compare the determined experimental value to the actual value of the resistance. At R = 10 Using the calculator, y = 10.634x 0.0859 Experimental value of R = slope = 10.634 But, 2 2 N N i i i i N x x =- = 4 (0.096 2 +0.201 2 +0.285 2 +0.235 2 ) (0.096+0.201+0.285+0.235) 2 = 0.076779 e i = | y measured y calculated | 1 Grade: 2 2 2 N i i e N N =- e 1 = |0.98 0.934964| = 0.045036 e 1 2 = 2.028 10-3 e 2 = |1.959 2.051534| = 0.092534 e 2 2 = 8.563 10-3 e 3 = |3.007 2.94479| = 0.06221 e 3 2 = 3.87 10-3 e 4 = |2.399 -2.41309| = 0.01409 e 4 2 = 1.985 10-4 e i 2 = 0.0146595 2 = 2 (0.0146595/0.072732) = 0.635 R = 10.6 0.6 % error of R = 10 : exp lit lit R R R- 100 = 10 10.6 10- 100 = 6 % . Error is acceptable since it is less than 12 % . At R = 33 Using the calculator, y = 32.567x 5.786 10-3 Experimental value of R = slope = 32.567 But, 2 2 N N i i i i N x x =- = 4 (0.03 2 +0.06 2 +0.08 2 +0.09 2 ) (0.03+0.06+0.08+0.09) 2 = 8.4 10-3 e i = | y measured y calculated | e 1 = |0.98 0.985496| = 5.496 10-3 e 1 2 = 3.0206 10-5 e 2 = |1.993 1.965206| = 0.027794 e 2 2 = 7.725 10-4 e 3 = |2.568 2.618346| = 0.050346 e 3 2 = 2.535 10-3 e 4 = |2.973 2.944916| = 0.028084 e 4 2 = 7.887 10-4 e i 2 = 4.126406 10-3 2 2 2 2 N i i e N N =- 2 = 2 (4.126406 10-3 /8.4 10-3 ) = 0.991 R = 33 1 % error of R = 33 : exp lit lit R R R- 100 = 33 33 33- 100 = 0 % . Error is acceptable since it is less than 12 % . Use linear regression to determine the experimental value of each equivalent resistance along with its root-mean-square error. Compare these values to those that can be calculated from the previous measurements. For resistors in series: R eq = 43 Using the calculator, y = 42.345x + 0.0118 Experimental value of R = slope = 42.345 But, 2 2 N N i i i i N x x =- = 4 (0.045 2 +0.024 2 +0.047 2 +0.06 2 ) (0.045+0.024+0.047+0.06) 2 = 0.019484 e i = | y measured y calculated...
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This note was uploaded on 02/07/2011 for the course PHYS 211L taught by Professor Saranajm during the Fall '07 term at American University of Beirut.

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Ohm's law - Date:__08/03/2007__ Physics 211L Ohms Law Name:...

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