HW10-S10Soln

HW10-S10Soln - Problem 1 Wheatstone Bridges are used with...

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Solution r 0.1 0.1 r 1.0 1.0 r 10 10.0 r 100 100.0 v 0.1 x ( ) x x r 0.1 1 1 r 0.1 x 0.1 0.11 2.0 v 1.0 x ( ) x x r 1.0 1 1 r 1.0 v 10 x ( ) x x r 10 1 1 r 10 v 100 x ( ) x x r 100 1 1 r 100 Problem 1 Wheatstone Bridges are used with many different types of resistive sensors. The values of the fixed resistors used in the bridge depend on the type of sensor used. If the sensor is located in position R 1 in the bridge and the bridge is balanced when R 1 is at its minimum value (R 1 = R 1min ), then the balanced condition is: 2 3 min 1 4 R R R R . If we let R 4 = (R 3 /R2)R 1min and substitute that in for R 4 into the basic bridge equation, using this relationship then we can eliminate R 4 from the bridge equation and we can rewrite the bridge equation as: r r x x v 1 1 , where v = E out /V supply , r = R 3 /R 2 , and x = R 1 /R 1min . Make a plot of v versus x, for x in the range 0.1 to 2.0, with r set to the following values: r = 0.1, 1.0, 10.0, and 100.
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0 0.5 1 1.5 2 0.5 0.4 0.3 0.2 0.1 0 0.1 r = 0.1 r = 1.0 r = 10.0 r = 100.0 Bridge Response R1/R1min Eth/Vs
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Problem 2 The torque wrench shown in the figure below is claimed to produce an output voltage e o proportional to the torque applied by force f to the nut, irrespective of the point of force
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This note was uploaded on 10/24/2010 for the course MA 303 taught by Professor Staff during the Spring '08 term at Purdue.

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HW10-S10Soln - Problem 1 Wheatstone Bridges are used with...

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