After demonstrating that there is a certain deficit within the existing sociological reflection on power, this article discusses the possible benefit of consulting Alfred Schutz's theory of relevance for the study of power relations. Especially, Schutz's distinction between "intrinsic" and "imposed" relevances is reconsidered at length. The thesis claims that an application of Schutz' s concepts can be of some original use, particularly in exploring the perspective of those subject to power, however this application calls for some theoretical revision.