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10 measurements were taken and the values of the current through and resistance of a resistor have been recorded below in Table 1. Based on these measurements, answer the following questions to determine the uncertainty in the measured resistance, measured current, and the uncertainty in the calculated power based on these measurements. Table 1. Measured resistance and current values. Measured Current [A] 0.051 0.05 0.055 0.057 0.057 0.05 0.052 0.057 0.053 0.055 Measured Resistance (ohms) 98.2 98.7 99.4 99.4 98.5 99.1 98 99.3 98.9 98.6 2) Using the measured values from Table 1, calculate the 95% precision interval for the measured resistance and current values. (Hint: when calculating the degrees of freedom, v, we may use m=0 as we have not applied any regression fitting to this data set.) 3) Using all the uncertainty information available to us in this assignment, calculate the best estimate of uncertainty in the measured current and resistance. 4) Determine the uncertainty in the calculated power, Up, by propagating the measurement uncertainties (from part 3) through the power equation using the partial derivative method. (P=I^2R) Be sure to show all your work for full credit. 5) Which measurement (current or resistance) contributes the most to your overall uncertainty in calculated power? 10 measurements were taken and the values of the current through and resistance of a resistor have been recorded below in Table 1. Based on these measurements, answer the following questions to determine the uncertainty in the measured resistance, measured current, and the uncertainty in the calculated power based on these measurements. Table 1. Measured resistance and current values. Measured Current [A] 0.051 0.05 0.055 0.057 0.057 0.05 0.052 0.057 0.053 0.055 Measured Resistance (ohms) 98.2 98.7 99.4 99.4 98.5 99.1 98 99.3 98.9 98.6 2) Using the measured values from Table 1, calculate the 95% precision interval for the measured resistance and current values. (Hint: when calculating the degrees of freedom, v, we may use m=0 as we have not applied any regression fitting to this data set.) 3) Using all the uncertainty information available to us in this assignment, calculate the best estimate of uncertainty in the measured current and resistance. 4) Determine the uncertainty in the calculated power, Up, by propagating the measurement uncertainties (from part 3) through the power equation using the partial derivative method. (P=I^2R) Be sure to show all your work for full credit. 5) Which measurement (current or resistance) contributes the most to your overall uncertainty in calculated power
