An actuator used to precisely adjust the position of a low mass microscope lens is fabricated from a stack of 30 circular piezoelectric ceramic discs (see table below for material parameters), each with a diameter of 20 mm and a thickness of 1 mm. Calculate the displacement (in nanometers) that can be generated by the actuator when a voltage of 1,073V is applied. You may assume that the lens has a negligible mass. Please show your workings clearly and state any assumptions made in your supplementary workings that you can upload in the next question.

Parameter	Value
Piezoelectric coefficient (d33)	33710-12C/N
Relative permittivity	3300
Youngs modulus	4.11010 Pa
Curie Temperature	218oC
Dielectric breakdown strength	2.8 kV/mm

An actuator used to precisely adjust the position of a low mass microscope lens is fabricated from a stack of 30 circular piezoelectric ceramic discs (see table below for material parameters), each with a diameter of 20 mm and a thickness of 1 mm. Calculate the displacement (in nanometers) that can be generated by the actuator when a voltage of 1,073V is applied. You may assume that the lens has a negligible mass. Please show your workings clearly and state any assumptions made in your supplementary workings that you can upload in the next question.

Parameter	Value
Piezoelectric coefficient (d33)	33710-12C/N
Relative permittivity	3300
Youngs modulus	4.11010 Pa
Curie Temperature	218oC
Dielectric breakdown strength	2.8 kV/mm

Please show working out.