(a) A piezoelectric crystal is characterized by a constant, 12 x 10-13 (V/m) / (N/m2). The diameter of crystal is 8 mm, thickness is 2 mm and leakage resistance is 108 N. [1]. Determine the sensitivity of crystal for measurement of displacement in V/m? [2]. Also what will be the output voltage for an input force of 10 N? [3]. If above crystal is connected to an amplifier with input capacitance of 4 x 10-10 Fand resistance of 108 N. The connecting cable has a capacitance of 2 x 10-10 F. Determine the time constant for measurement of displacement. [Dielectric constant = 1.250 x 10-8 F/m and Young's modulus of 1.2 x 10-11 N/m2 ].

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QUES 1:
(a) A piezoelectric crystal is characterized by a constant, 12 x 10-13 (V/m) / (N/m2). The diameter of
crystal is 8 mm, thickness is 2 mm and leakage resistance is 108 N.
[1]. Determine the sensitivity of crystal for measurement of displacement in V/m?
[2). Also what will be the output voltage for an input force of 10 N?
[3]. If above crystal is connected to an amplifier with input capacitance of 4 x 10-10 Fand resistance of
108 N. The connecting cable has a capacitance of 2 x 10-10 F. Determine the time constant for
measurement of displacement.
[Dielectric constant = 1.250 x 10-8 F/m and Young's modulus of 1.2 x 10-11 N/m2 ].
(b) Suggest a low cost sensor for the office applications like Automatic Gate opening. Discuss the
constructional details and principle of working of the sensor. Also discuss its limitations.
Transcribed Image Text:QUES 1: (a) A piezoelectric crystal is characterized by a constant, 12 x 10-13 (V/m) / (N/m2). The diameter of crystal is 8 mm, thickness is 2 mm and leakage resistance is 108 N. [1]. Determine the sensitivity of crystal for measurement of displacement in V/m? [2). Also what will be the output voltage for an input force of 10 N? [3]. If above crystal is connected to an amplifier with input capacitance of 4 x 10-10 Fand resistance of 108 N. The connecting cable has a capacitance of 2 x 10-10 F. Determine the time constant for measurement of displacement. [Dielectric constant = 1.250 x 10-8 F/m and Young's modulus of 1.2 x 10-11 N/m2 ]. (b) Suggest a low cost sensor for the office applications like Automatic Gate opening. Discuss the constructional details and principle of working of the sensor. Also discuss its limitations.
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