A dc series motor is controlled by the circuit shown below.
The armature and field resistance are 0.06 Ω and 0.04 Ω respectively. The average armature current is 200 A and chopper frequency is 500 Hz. If the back emf is 200 V, then the pulse width would be equal to
V0=αVs
V0=I0(Ra+Rsc)+Eb=αVs
=200(0.06+0.04)+200=α⋅440
α=220440
α=0.5
Tcn=α⋅T
=0.5×1500=1ms