This paper examines a mechanism proposed by Low (1987) for the formati
on of current sheets in two-dimensional potential magnetic fields in t
he solar corona, by photospheric compression parallel to the plane of
the field. In contrast to earlier work by Syrovatskii (1974) this mech
anism does not require a magnetic neutral point. We develop methods fo
r analysing the change in B due to a compression, and for detecting cu
rrent sheets by counting the rotations of the magnetic field vector al
ong the photosphere. Methods are also given for calculating the positi
on and lengths of the current sheets, and the magnetic energy they rel
ease on reconnection. For the more realistic field which decays suitab
ly at infinity, we find that only nonlinear compressions of restricted
form can generate current sheets, and that the energy released is sma
ll. Unless other example fields or compressions yield much larger ener
gies, this mechanism seems an unlikely explanation for solar flares.