The above circuit diagram represents a speed-control system in which the DC motor voltage is V = 4. Parameters are R, = 2,L, = 1,I = 1, and c=2. The external load, T, = 0 V – Ri̟ - L. di, - K,0=0 a. | dt - Kri, +T¸ +c@=0 dt (a) Which of the following statements are true with the system above? Select all that apply. i. The motor produces a torque that is proportional to the current, The voltage drop is inversely proportional to the motor speed, The torque is proportional to the number of coils. ii. iii.

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Ra
La
TL
+
+
V
i.
Motor
The above circuit diagram represents a speed-control system in which the DC motor voltage is
V = 4. Parameters are R, = 2, L,=1,1=1,and c = 2. The external load, T, = 0
di
V – Ri. - L.
- K,@=0
dt
a
do
I
K,i, +T, +c@= 0
dt
(a) Which of the following statements are true with the system above? Select all that apply.
i.
The motor produces a torque that is proportional to the current,
The voltage drop is inversely proportional to the motor speed,
The torque is proportional to the number of coils.
ii.
iii.
(b) The number of coils in the armature, n, is 10 and the flux density of the field, B, is 2
Wb/m?. Also, the length of the conductor, L, is 1 m and the armature radius, r, is 0.1 m.
Then calculate Kr (torque constant), Kb (back emf constant), and Km (motor constant).
Provide the values of all the three constants.
Transcribed Image Text:Ra La TL + + V i. Motor The above circuit diagram represents a speed-control system in which the DC motor voltage is V = 4. Parameters are R, = 2, L,=1,1=1,and c = 2. The external load, T, = 0 di V – Ri. - L. - K,@=0 dt a do I K,i, +T, +c@= 0 dt (a) Which of the following statements are true with the system above? Select all that apply. i. The motor produces a torque that is proportional to the current, The voltage drop is inversely proportional to the motor speed, The torque is proportional to the number of coils. ii. iii. (b) The number of coils in the armature, n, is 10 and the flux density of the field, B, is 2 Wb/m?. Also, the length of the conductor, L, is 1 m and the armature radius, r, is 0.1 m. Then calculate Kr (torque constant), Kb (back emf constant), and Km (motor constant). Provide the values of all the three constants.
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