Calculation problems Question 5. You use a simple potentiometer circuit to transduce the displacement of a hand-grip to a voltage output that should be linearly related to displacement. If the total resistance of the potentiometer is R and the displacement 'x' is defined as a proportion of the total length of the potentiometer, show how connection of a load resistance RL in the output can cause an error in your measurement due to loading. Derive the relationship between output voltage and displacement and take two instructive examples to help in your demonstration: when RL is infinite, and when RL is equal to R (further simplify the output-displacement relation in each case). R O'Vout RL

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Question 5. You use a simple potentiometer circuit to transduce the
displacement of a hand-grip to a voltage output that should be linearly related
to displacement. If the total resistance of the potentiometer is R and the
displacement 'x' is defined as a proportion of the total length of the
potentiometer, show how connection of a load resistance RL in the output can
cause an error in your measurement due to loading. Derive the relationship
between output voltage and displacement and take two instructive examples
to help in your demonstration: when RL is infinite, and when RL is equal to R
(further simplify the output-displacement relation in each case).
R
OVout
RL
Transcribed Image Text:Calculation problems Vin Question 5. You use a simple potentiometer circuit to transduce the displacement of a hand-grip to a voltage output that should be linearly related to displacement. If the total resistance of the potentiometer is R and the displacement 'x' is defined as a proportion of the total length of the potentiometer, show how connection of a load resistance RL in the output can cause an error in your measurement due to loading. Derive the relationship between output voltage and displacement and take two instructive examples to help in your demonstration: when RL is infinite, and when RL is equal to R (further simplify the output-displacement relation in each case). R OVout RL
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