A piezoelectric sensor sheet $($Figure right,

PSI$-5$A$4$E$,$ material properties found in

Problem $1)$ of length $(l_c)2cm,$ width $(b_c)1$

cm $,$ and thickness $(t_c)0\mathrm{.}25mm$ is subjected to

a force F along the $1$ direction. Assume that

an electronic circuit moves all the charge

generated by the piezoelectric sheet to a

capacitance $C.$ As a result, we can assume

that $E=0$ for the sheet. Calculate the voltage V

developed due to a force $F=30N$ for a

PSI$-5$A$4$E sensor sheet

capacitance $C=100nF.$