Problem 1: R. +l R,(Ar) 2R R,(Ar) R,(Ax) R,(Ax) Figure 1: the sensor Figure 2: the electric circuit for measurement 1) Give the expressions of R(Ax) and Rp(Ax) as a function of Ro, L, and Ax. 2) The potentiometer is used in the electric circuit shown in figure 2. The voltage Vmes is measured by an electronic circuit which has an input impedance Rapp. Give the expression of Vmes as a function of R(Ax), Rp(Ax), R , Rupp , and Ve. 3) Assuming that Rapp >> Ro , find the equation of the transfer function of this sensor (electric circuit for measurement included). 4) Deduce the sensitivity S of this system (sensor + circuit). 5) When do we have the maximum sensitivity ?

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Problem 1:
R.
+1
R,(Ax)
R,(Ax)
Ar
R,(Ax).
R,(Ar)
Ropp
mes
Figure 1: the sensor
Figure 2: the electric circuit for measurement
1) Give the expressions of R,(Ax) and R,(Ax) as a function of Ro, l, and Ax.
2) The potentiometer is used in the electric circuit shown in figure 2. The voltage Vmes is measured by an
electronic circuit which has an input impedance Rapp. Give the expression of Vmes as a function of
R,(Ax), Rp(Ax), R , Rupp, and V,.
3) Assuming that R,9p >> Ro , find the equation of the transfer function of this sensor (electric circuit for
measurement included).
4) Deduce the sensitivity S of this system (sensor + circuit).
5) When do we have the maximum sensitivity ?
6) Which drawback could have this measurement technique ?
2.
Transcribed Image Text:Problem 1: R. +1 R,(Ax) R,(Ax) Ar R,(Ax). R,(Ar) Ropp mes Figure 1: the sensor Figure 2: the electric circuit for measurement 1) Give the expressions of R,(Ax) and R,(Ax) as a function of Ro, l, and Ax. 2) The potentiometer is used in the electric circuit shown in figure 2. The voltage Vmes is measured by an electronic circuit which has an input impedance Rapp. Give the expression of Vmes as a function of R,(Ax), Rp(Ax), R , Rupp, and V,. 3) Assuming that R,9p >> Ro , find the equation of the transfer function of this sensor (electric circuit for measurement included). 4) Deduce the sensitivity S of this system (sensor + circuit). 5) When do we have the maximum sensitivity ? 6) Which drawback could have this measurement technique ? 2.
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