solution

The equations for an armature-controlled dc motor are the following. The motor’s current is i and its

rotational velocity is ω.

The equations for an armature-controlled dc motor are the following. The motor’s current is i and...-1

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where L, R, and I are the motor’s inductance, resistance, and inertia; KT and Ke are the torque constant and back emf constant; c is a viscous damping constant; and v(t) is the applied voltage. Use the values R = 0.8 Ω, L = 0.003 H, KT = 0.05 N · m/A, Ke = 0.05 V · s/rad, c = 0, and I = 8 × 10−5 kg · m2.

a. Suppose the applied voltage is 20 V. Plot the motor’s speed and current versus time. Choose a final time large enough to show the motor’s speed becoming constant.

b. Suppose the applied voltage is trapezoidal as given below.

The equations for an armature-controlled dc motor are the following. The motor’s current is i and...-2

 
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