DC motor induced emf in field winding
short answer

Of course, Mot. always produces BEMF with rising speed so current depends on the difference due to loading and inertial acceleration demand. 

e.g. Vbemf( back EMF internally generated) for no-load speed minus V for loaded speed is what the motor coil sees.  

When at max no load speed if no losses, ideally current = 0 but of course there are always some excitation current, eddy current loss and commutation losses at full speed with no-load condition.

The No-load speed is often a linear constant ratio with kV/RPM until these losses rise then reduces slightly in an efficient motor. Then speed reduces up to 20% with loading at max power if matched to load.

If torque is field current regulated then the voltage is high impedance, so usually current to ground increases magnetic coupling to increase current and thus torque and thus acceleration to some regulated speed with a tach.

If it uses a PM or permanent magnets, then there is no field winding.