  It is well known that one cannot construct a self-consistent quantum field
theory describing the non-relativistic electromagnetic interaction mediated by
massive photons between a point-like electric charge and a magnetic monopole.
We show that, indeed, this inconsistency arises in the classical theory itself.
No semi-classic approximation or limiting procedure for the Dirac constant
approaching to zero is used. As a result, the string attached to the monopole
emerges as visible also if finite-range electromagnetic interactions are
considered in classical framework.
