Precision irrigation systems promise to bring significant improvement in resource efficiency and crop yield by providing analytics and smart tools for the growers. While significant amounts of data can be collected in a sensor-rich system, there are no rigorously designed models that can provide actionable intelligence to the user. This paper proposes the integration of circuit-inspired modeling of natural phenomena and man-made artifacts to generate end-to-end irrigation system circuit models. Such models can take advantage of existing circuit design and simulation tools that have been perfected over the past decades to efficiently process large input sets. We show that circuit-inspired models are indeed qualitatively sound and quantitatively accurate in capturing both natural phenomena and engineered physical irrigation systems.