The purpose of this paper is to determine physical electrical circuits, in both impedance and admittance forms, that match fractional-order integrators and differentiators, namely 1/s(q) and s(q). Then, using these idealized infinite-dimensional circuits, the energy storage and loss expressions for them are determined, carefully relating the associated infinite dimensional state variables to physically meaningful quantities. The resulting realizations and energy expressions allow a variety of implementations for understanding the transient behavior of fractional-order systems.