Human mobility in an urban area is complicated; the origins, destinations, and transport methods of each person differ. The quantitative description of urban human mobility has recently attracted the attention of researchers, and it highly related to urban science problems. Herein, combined with physics inspiration, we introduce a revised electric circuit model (RECM) in which moving people are regarded as charged particles. Analogical concepts of electromagnetism enable us to capture the characteristics of urban human mobility. We discover a nontrivial scaling relation, which is regarded as a new type of gravity model, to characterize the heterogeneous spatial distribution of urban human mobility. Furthermore, we propose a route generation model (RGM) to simulate a human flow pattern that automatically determines suitable routes between a given origin and destination as a source and sink, respectively. These discoveries lead to new approaches to the solution of many urban science problems.