By treating magnetic charge as a gauge symmetry through the introducti
on of a ''magnetic'' pseudo four-vector potential, we show that it is
possible to construct a topological electric charge from a theory whic
h originally contains gauge magnetic charge. This is an explicit reali
zation of the Montonen-Olive conjecture that there should exist a dual
theory to the usual 't Hooft-Polyakov monopole theory in which the ro
les of the gauge and topological charges are reversed. The physical di
stinction between 't Hooft-Polyakov monopoles and the dual theory with
electric charge is that the strong and weak coupling regimes are reve
rsed. Physically this leads to the mass of the electrically charged so
liton being on the order of (1/137) M(W) as opposed to the much larger
mass (on the order of 137 M(W)) of the magnetically charged soliton.
Thus even for M(W) in the TeV range such an electrically charged parti
cle could be observed at some future accelerator.