Transducer

What is piezoelectric transducer? Define the voltage sensitivity and charge sensitivity. Give the equivalent circuit for piezoelectric transducer. Derive the expression for the output voltage by making suitable assumptions.

Explain how magnitude and direction of displacement can be measured with the help of an inductive sensor.

A Barium Titanite Pick-up has the dimensions of $5\ \mathrm{mm} \times 5\ \mathrm{mm} \times 1.25\ \mathrm{mm}$. The force acting upon it is $5\ \mathrm{N}$. The charge sensitivity of it is $150\ \mathrm{pC/N}$ and its permittivity is $12.5 \times 10^{-9}\ \mathrm{F/m}$. If the modulus of elasticity of it is $12 \times 10^{6}\ \mathrm{N/m^{2}}$, calculate the strain. Also calculate the charge and the capacitance.