1. Imagine that you need to determine the resistivity of a certain metal. You have several...
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1. Imagine that you need to determine the resistivity of a certain metal. You have several pieces of wire that are made from this material, all with a diameter of 0.361 mm. You make very precise measurements of the length and resistance of each piece of wire. The measured values are recorded in the table below. Length (m) 0.50 Resistance (2) 0.45 1.00 0.95 1.50 1.42 2.00 1.88 2.50 2.35 3.00 2.84 a. Make a graph of R versus L in Excel. Make sure your graph has a descriptive title and each axis is labeled with the appropriate physical quantity and units. b. Add a trendline to your graph and display the equation on the chart. Add your chart to this document. c. Use 2D stats to find the slope and the error in the slope and write them down. d. Use the slope you found in (c) to calculate the resistivity of the material. First copy the equation you need from the manual, then fill in the values and calculate the resistivity. Also calculate the uncertainty in your result using the error you found in (c); assume the error in the measurement of the lengths of the wires is 0. Resistance (ohms Length (m) 0.5 0.45 slope (units) 1 0.95 0.949142857 3 1.5 1.42 intercept 2 1.88 (units) 2.5 2.35 -0.012666667 25 2.5 3 2.84 R 0.999856003 2 Resistance of a Wire vs. Length y=0.9491x-0.0127 R = 0.9999 Sy (units) 0.011912379 Sslope Resistance (ohms) 1.5 (units) 1 0.005695 0.5 0 0 0.5 1 1.5 2 2.5 3 3.5 Length (m) Resistance (ohms) -Linear (Resistance (ohms)). 1. Imagine that you need to determine the resistivity of a certain metal. You have several pieces of wire that are made from this material, all with a diameter of 0.361 mm. You make very precise measurements of the length and resistance of each piece of wire. The measured values are recorded in the table below. Length (m) 0.50 Resistance (2) 0.45 1.00 0.95 1.50 1.42 2.00 1.88 2.50 2.35 3.00 2.84 a. Make a graph of R versus L in Excel. Make sure your graph has a descriptive title and each axis is labeled with the appropriate physical quantity and units. b. Add a trendline to your graph and display the equation on the chart. Add your chart to this document. c. Use 2D stats to find the slope and the error in the slope and write them down. d. Use the slope you found in (c) to calculate the resistivity of the material. First copy the equation you need from the manual, then fill in the values and calculate the resistivity. Also calculate the uncertainty in your result using the error you found in (c); assume the error in the measurement of the lengths of the wires is 0. Resistance (ohms Length (m) 0.5 0.45 slope (units) 1 0.95 0.949142857 3 1.5 1.42 intercept 2 1.88 (units) 2.5 2.35 -0.012666667 25 2.5 3 2.84 R 0.999856003 2 Resistance of a Wire vs. Length y=0.9491x-0.0127 R = 0.9999 Sy (units) 0.011912379 Sslope Resistance (ohms) 1.5 (units) 1 0.005695 0.5 0 0 0.5 1 1.5 2 2.5 3 3.5 Length (m) Resistance (ohms) -Linear (Resistance (ohms)).
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Related Book For
Foundations of Finance The Logic and Practice of Financial Management
ISBN: 978-0132994873
8th edition
Authors: Arthur J. Keown, John D. Martin, J. William Petty
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