Ohm's Law REPORT - Date 18th of March 2011...

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Date: 18 th of March 2011 Phys211L/Phys205L Ohm’s Law Name: Nour Halawi Section number: 10 Partner’s Name: Camille Hage Instructor: Zeinab Alameh 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 0 0.010 0.333 -0.096 -1.00 0.030 0.982 0.100 1.070 -0.020 -0.649 0.191 2.00 -0.040 -1.316 Use linear regression to determine the experimental value for each resistance. 1) Using Linear Regression for the 10 resistor The line obtained is a straight line passing through the origin therefore it is of the form y = ax where y = V and x = I since Ohm’s law says that V = RI a is the slope which represents the resistance R R = a (V) 0 0 0 0 -0.096 0.009216 -1.00 0.096 0.100 0.01 1.070 0.107 0.191 0.036481 2.00 0.382 1
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The experimental value of the resistor is 10.47 since R = a and a = 10.47 2) Using linear regression for the 33 resistor The line obtained is a straight line passing through the origin therefore it is of the form y = ax where y = V and x = I since Ohm’s law says that V = RI a is the slope which represents the resistance R R = a (V) 0.010 0.0001 0.333 0.00333 0.030 0.0009 0.982 0.02946 -0.020 0.0004 -0.649 0.01298 -0.040 0.0016 -1.316 0.05264 2
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The experimental value of the resistor is 32.81 since R = a and a = 32.81 Resistors in series Resistors in parallel I (A) V (V) I (A) V (V) 0.040 1.719 0.040 0.316 0.010 0.439 0.020 0.158 -0.020 -0.842 -0.020 -0.175 -0.030 -1.281 -0.040 -0.333 Using linear regression determine the experimental value for each resistance along with its root-mean-square error. Compare these values to those that can be calculated from the previous measurements. 1) Resistors in series The V=f(I) graph shows a straight line passing through the origin of the form y = ax where y represents the voltage, x the current and a is the slope. However ohm’s law states that V = RI then the slope a represents the resistance R (R is the equivalent resistance of the 10 and 33 resistors connected in series) (V) 0.040 0.0016 1.719 0.06876 0.010 0.0001 0.439 0.00439 0.020 0.0004 0.842 0.01684 0.030 0.0009 1.281 0.03843 3
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The experimental value of is equal to 42.79 with an error: α Calculating the error Error: α y = ax where x is the current I obtained from the curve, R = a = 42.79 and y is the voltage V obtained from the equation y = ax (V=RI) y (V) (V) 0.040 1.7116 1.719 -0.0074 0.00005476 0.010 0.4279 0.439 -0.0111 0.00012321 0.020 0.8558 0.842 0.0138 0.00019044 0.030 1.2837 1.281 0.0027 0.00000729 R = (42.8 ± 0.6) 4
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The theoretical value of R which is 43 falls into the interval [42.2;43.4] therefore our measurements where accurate since the experimental value is close to the theoretical value %Error = 2) Resistors in parallel The line obtained on the V=f(I) graph is a straight line passing through the origin of the form y = ax where y represents the voltage, x the current and a the slope. However Ohm’s law states that V = RI then the slope a represents the resistance R (R
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Ohm's Law REPORT - Date 18th of March 2011...

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