This paper presents an approach to electrical circuits using Hilbert transform. By applying Hilbert transform to linear circuit equations under sinusoidal form, (-pi/2) phase shifting occurs. This method can be extended to complex form circuits analysis. Applications refer strictly to sampled signals, discrete signals. The input signal is a signal under the harmonic form. An application that determines the analysis of two RLC circuits - series respectively series - parallel - powered by a constant sinusoidal current is developed.