Bob Length Transducer


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VARIABLE RESISTANCE LENGTH TRANSDUCER Robert J. Lichtenthal III Jason Hutchinson Matthew Robbins February 23, 2007 Abstract: During this experiment, both a Wheatstone-Bridge circuit and an Operation Amplifier (OP-AMP) circuit were joined with a Variable Resistance Length Transducer (V.R.L.T.) in order to analyze output resistances and voltages respectively. A micrometer was used to adjust the (V.R.L.T.), and an electronic Multi-meter was used to measure the resistances and voltages. The methods used proved to be reliable as the calculated relative percent error did not exceed 0.5%. Also, the Up-Scale and Down- Scale plots show much similarity, proving that the methods are also consistent. Error- bars are included on many of the graphs that follow, and illustrate the reliability of the Wheatstone-Bridge and the OP-AMP as tools for measuring resistance and voltage.
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: Wheatstone Bridge Raw Data Plots The first part of the experiment utilized a Wheatstone Bridge whose resistance was measured as the length of the variable resistor was changed in a linear manner. Each data point corresponds to a 0.1 inch step of the Length Transducer as measured by a micrometer. The transducer varied in length from zero to 1 inch, and data was recorded on both an up-scale and down-scale path. MATLAB [1] was used to graph this data and can be seen below in Graph 1.1. Graph 1.1 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 0 500 1000 1500 2000 2500 V.R.L.T. Position vs. Resistance V.R.L.T. Position (Inches) Resistance (Ohms) Down-Scale Up-Scale Notice how close the up-scale and down-scale plots are to each other. This indicates that the process was consistent. Also, the resistance varied linearly with V.R.L.T. position which was expected. As length increased, resistance decreased. However, the two plots do deviate slightly, and that deviation is calculated and call the hysteretic error. The hysteretic error was calculated and graphed according to the formula, graph, and chart seen below. Note hysteretic error is unit-less. e
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