This paper presents a theoretical examination of a nematic cell bounde
d by bistable weakly anchored surfaces. Switching between the two resu
ltant equilibrium states is achieved by means of an electric field. In
setting up the problem we identify a parameter whose measurement is i
mportant to the development of any device which relies upon weak ancho
ring. The results of this work are discussed in relation to the measur
ement of this constant.