(b) Show that the torque-speed characteristic of a series-connected DC motor is given by: Taev KK,V,²2 (R₁+R+KKpm)² where To is the torque developed in the machine, R, is the resistance in armature circuit, Rr is the resistance in the field circuit, K is the machine constant that depends on the design parameters of the machine, com is the angular velocity of the rotor, Kris a constant that depends on the number of field windings, the geometry of the magnetic circuit, and the B-H characteristics of the iron and Vr is the voltage applied to the armature.

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(b) Show that the torque-speed characteristic of a series-connected DC motor is given
by:
Tdev
KK V2²
(RA+R+KKp@m)²
where Tdev is the torque developed in the machine, R, is the resistance in armature
circuit, Rr is the resistance in the field circuit, K is the machine constant that depends
on the design parameters of the machine, com is the angular velocity of the rotor, Kris
a constant that depends on the number of field windings, the geometry of the magnetic
circuit, and the B-H characteristics of the iron and Vr is the voltage applied to the
armature.
Transcribed Image Text:(b) Show that the torque-speed characteristic of a series-connected DC motor is given by: Tdev KK V2² (RA+R+KKp@m)² where Tdev is the torque developed in the machine, R, is the resistance in armature circuit, Rr is the resistance in the field circuit, K is the machine constant that depends on the design parameters of the machine, com is the angular velocity of the rotor, Kris a constant that depends on the number of field windings, the geometry of the magnetic circuit, and the B-H characteristics of the iron and Vr is the voltage applied to the armature.
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