A simple, implicit, relation for the inversion charge density in the channe
l of metal oxide semiconductor (MOS) transistors is presented. The relation
is continuous and covers the whole operating range, from subthreshold to s
trong inversion. The derivative of the local inversion charge density with
respect to the channel voltage is a simple expression in the charge density
, leading to analytic integrals as required for obtaining the drain current
and the capacitance coefficients.