The displacement of an object is measured using a linear potentiometer with resistance Rp = 1.8 k as shown in Figure A5. The potentiometer output is connected to a load with resistance R₁ through an operational amplifier circuit. The load is uncertain in a range [200 № -1 kN]. The input voltage Vin is 3.3 V. The total resistance element length is 250 mm. (a) Explain the operation of this circuit, including a justification for the operational amplifier stage. (b) Initially, the sliding contact is positioned such that X is one third of L. The linear displacement of the object causes the sliding contact to move such that the voltage drop of the load resistance 0.8 V. Determine the displacement of the object and the direction in which it moves. (1-x)Rp L A RL Vin xRp Figure A5

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The displacement of an object is measured using a linear potentiometer with
resistance Rp = 1.8 k as shown in Figure A5. The potentiometer output is connected
to a load with resistance R₁ through an operational amplifier circuit. The load is
uncertain in a range [200 № -1 kN]. The input voltage Vin is 3.3 V. The total resistance
element length is 250 mm.
(a)
Explain the operation of this circuit, including a justification for the
operational amplifier stage.
(b)
Initially, the sliding contact is positioned such that X is one third of L. The
linear displacement of the object causes the sliding contact to move such that
the voltage drop of the load resistance 0.8 V. Determine the displacement
of the object and the direction in which it moves.
(1-x)Rp
L
A
RL
Vin
xRp
Figure A5
Transcribed Image Text:The displacement of an object is measured using a linear potentiometer with resistance Rp = 1.8 k as shown in Figure A5. The potentiometer output is connected to a load with resistance R₁ through an operational amplifier circuit. The load is uncertain in a range [200 № -1 kN]. The input voltage Vin is 3.3 V. The total resistance element length is 250 mm. (a) Explain the operation of this circuit, including a justification for the operational amplifier stage. (b) Initially, the sliding contact is positioned such that X is one third of L. The linear displacement of the object causes the sliding contact to move such that the voltage drop of the load resistance 0.8 V. Determine the displacement of the object and the direction in which it moves. (1-x)Rp L A RL Vin xRp Figure A5
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