1. The problem statement, all variables and given/known data A piezo-electric precision actuator is required that produces a displacement (length change) parallel to the crystal z axis of 1.0nm/V. If a commercial type 5H PZT material is available with d33 = 650. pC/N, what length (along the z axis) is needed for the crystal? 2. Relevant equations ε_ij=d_kij*E_k 3. The attempt at a solution I set the length of the crystal as x and try to solve for it. But since I do not know how much voltage is applied at the piezoelectric device my x's just cancel leaving me with 2 numbers that are supposed to be equal but are obviously not.