The study presented here supports the idea of using geometric algebra(GA) as a mathematical tool for interpretation of apparent power in non-sinusoidal single-phase electric circuits with linear load. The basis of this study is inspired by previous research in power theory, and an attempt is made to explain the physics of power flow in a system with higher-order distortion, as GA using multivector representation and computing provides a platform where we can simultaneously solve the system for various components of current and all the harmonics. The study also provide more detailed explanation on apparent power based on current decomposition. The case studies have been presented in time domain and subsequently transferred to GA domain for analysis. Power balance compliance as per principal of energy conservation is also observed. Results are presented where the proposed strategy is applied, and the GA for such application is corroborated.