Why is it reasonable to model a DC motor output torque as pr

Why is it reasonable to model a DC motor output torque as proportional to the input voltage?

Solution

A DC motor is equivalent to an inductor either in series or in parallel to the applied voltage in the circuit. Due to the nature of the inductance to remain reactive to change in current and voltage drop across an inductor is v = L del i / del t.

The torque from a motor is due to the inductive coil\'s or an electromagnet\'s change in instantaneous voltage due to change in applied current results in increased magnetic flux. The magnetic flux induced turns the armature at omega.