A general solution is presented for the displacements induced in any piezoelectric medium by static electric fields which are constant throughout the medium. This solution is then specialized to the case of &agr;‐quartz. The solutions for &agr;‐quartz have been used by the second writer in an accurate remeasurement of its piezoelectric moduli. The piezoelectric behavior of &agr;‐quartz is found to be closely predicted by these solutions.