366 ELECTRICAL APPARATUS the increased loss of power, but is far greater than corresponding thereto. It is the result of the lag of the e.m.f. of rotation, which produces a lagging e.m.f. component partially compensating for the leading e.m.f. consumed by self-inductance, a lag of the e.m.f. being equivalent to a lead of the current. Er FIG. 175.—Single-phase commutator-motor vector diagram. As the result of this feature of a lag of the magnetic flux, $, by producing a lagging e.m.f. of rotation and thus compensating for the lag of current by self-inductance, single-phase motors having poor commutation usually have better power-factors, and FIG. 176.—Single-phase commutator-motor diagram with phase displace- ment between flux and current. improvement in commutation, by eliminating or reducing the short-circuit current under the brush, usually causes a slight de- crease in the power-factor, by bringing the magnetic flux, $, more nearly in phase with the current, 7. 204. Inversely, by increasing the lag of the magnetic flux,r, the phase angle can be decreased and the power-factor improved. Such a shift of the magnetic flux, $, behind the supply current, i, can be produced by dividing the current, i, into components, V