A piezoelectric crystal is characterized by a constant, 12 × 10-13 (V/m) / (N/m2). The diameter of crystal is 8 mm, thickness is 2 mm and leakage resistance is 108 Ω. [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 × 10-10 F and resistance of 108 Ω. The connecting cable has a capacitance of 2 × 10-10 F. Determine the time constant for measurement of displacement. [Dielectric constant = 1.250 × 10-8 F/m and Young’s modulus of 1.2 × 10-11 N/m2]. ( Please answer all parts)

A piezoelectric crystal is characterized by a constant, 12 × 10-13 (V/m) / (N/m2). The diameter of crystal is 8 mm, thickness is 2 mm and leakage resistance is 108 Ω. [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 × 10-10 F and resistance of 108 Ω. The connecting cable has a capacitance of 2 × 10-10 F. Determine the time constant for measurement of displacement. [Dielectric constant = 1.250 × 10-8 F/m and Young’s modulus of 1.2 × 10-11 N/m2]. ( Please answer all parts)