The recently emerged field of Terahertz spectroscopy provides an important tool for studying the relaxation and various excitations at a previously inaccessible energy scale which is especially important in superconductors. Sufficiently strong fields allow to examine nonlinear effects such as higher harmonic generation. In this work, we study the photoinduced current resulting from an exposure of a clean and uniform conducting material to sufficiently strong radiation. The phenomenon of photoinduced current can be observed in either bulk non-centrosymmetric materials or in certain sample geometries where a designated direction is introduced, for example, thin films. We explore the implications of the approximate electron momentum conservation in clean metals. We find a universal relation which expresses the essentially nonlinear zero frequency photoinduced current through the first-order conductivity in non-isotropic geometries where it is facilitated by the excitation of plasma modes. Our results are relevant for various clean materials and can be directly checked in experiments on photocurrent measurements.