A 15 mm diameter circular piezoelectric element (see table below for material parameters) with a thickness of 0.5 mm is attached to a variable DC power supply that is able to deliver up to 5 kV. Determine the maximum displacement (in nanometers) that can be achieved by the single piezoelectric element and power supply. 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)	27810-12C/N
Relative permittivity	3600
Youngs modulus	4.91010 Pa
Curie Temperature	225oC
Dielectric breakdown strength	2.5 kV/mm

Please show working out.