In this paper characteristics of the Ebers-Mull , charge control and Linvill iumped models are reviewed. A 1%eery for systematically modeling solid state device by F.A Lind helm and D. J. Hamilton is discussed in detail. Nonlinear and linear modeds for the junction field effect transistor are derived from the systematic modeling theory. Computer program for the transient analysis is develooped and application of the program to the RC amplifler shows guod results.