Q$1.$ A square disc with sides $7$ mm is made out of a piezoelectric material having a strain coefficient of $550$ LaTeX: $\backslash$times$\backslash$times $1012$ m$/$V and a mechanical compliance of $20$LaTeX: $\backslash$times$\backslash$times $1012$ m$2/$N$.$ Compute $($a$)$ the strain produced by a force of $100$ N applied to the face of the material when the applied electric field is zero, and $($b$)$ the electric field required to produce an equivalent amount of strain when the applied stress is equal to zero.