HW6SP10Soln

# HW6SP10Soln - iv T==25 3cos(2nt 1OO 4sin(2nt 500 c Plot all...

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Thursday, February 18 0 " ..,. . . . , . .... 1 The time response of a thermocouple is described by the following first order differential equation: r dy +v= dt w' where y is output voltage, T is the input temperature, 't is the time constant, K is the static sensitivity, and Vo is the bias voltage. a. Write the frequency response function ofthe thermocouple and its magnitude and phase or argument as a function ofangular frequency. b. For't==2 seconds, K==O.OOIV/oC, T o==25°C, write the particular solutions for environmental temperatures following the following functions: i. T==25+3sin2nt °C ii. T==25+3cos2nt °C iii. T==25+3cos2nt+3sin2nt+2cos6nt+2sin6nt+cos1Ont+sinl Om

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Unformatted text preview: iv. T==25+3cos(2nt+1OO)+4sin(2nt+500) c. Plot all ofthe input temperatures and voltage responses in part (b) for a time period of 10 seconds using MATLAB. Do this is a single plot with two subplots in MATLAB-with the input temperatures in the top half plot and voltage outputs in the bottom half plot. d. Plot the Bode diagram ofthe frequency response function using MATLAB-what does it tell you about the voltage responses in part c? \< l< O. e>25-\--1-Solve each problem on separate sets of sheets. b · Qo...
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HW6SP10Soln - iv T==25 3cos(2nt 1OO 4sin(2nt 500 c Plot all...

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