Question 4b continued (i) What is the mechanical torque developed if i = 34? (ii) At this current, calculate the back-emf (E) developed in the armature and the rotational speed (w) in rpm to 3 significant figures (iii) Determine the output mechanical power (PM) and overall efficiency (n) of the machine

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Can you please help me with parts 1,2 and 3 of of question 4b

Question 4b continued
(i)
What is the mechanical torque developed if i = 3A?
(ii)
At this current, calculate the back-emf (E) developed in the armature and
the rotational speed (w) in rpm to 3 significant figures
(iii) Determine the output mechanical power (PM) and overall efficiency (n) of the
machine
(iv) The machine datasheet states a stall speed of 1200rpm. What is the
theoretical maximum torque achievable?
(v) A second identical machine operating as a generator is shaft-coupled to this
one to produce a regenerative system. A load resistance of 100 is placed
across its terminals. What is the resulting shaft speed and load voltage?
Transcribed Image Text:Question 4b continued (i) What is the mechanical torque developed if i = 3A? (ii) At this current, calculate the back-emf (E) developed in the armature and the rotational speed (w) in rpm to 3 significant figures (iii) Determine the output mechanical power (PM) and overall efficiency (n) of the machine (iv) The machine datasheet states a stall speed of 1200rpm. What is the theoretical maximum torque achievable? (v) A second identical machine operating as a generator is shaft-coupled to this one to produce a regenerative system. A load resistance of 100 is placed across its terminals. What is the resulting shaft speed and load voltage?
Q4. a) Figure 4 depicts a simple DC motor, its armature winding consisting
of a single turn of copper wire mounted on the rotor. The rotor core
material is omitted for clarity.
N
Figure 4
(i)
Explain from first principles how the motor winding develops a rotational
torque.
(ii) Explain with reference to faraday's law how a back-emf is produced in
the rotor winding.
(iii) The direct voltage supply to the armature is replaced with an alternating
voltage source operating at 50Hz. Explain why the machine fails to rotate
and how this might be remedied
In the next question, XY are the last two digits of your student number. For example, if your
number is C1700123, X=2 and Y=3.
b)
Figure 5 shows a simplified electrical circuit of a DC motor. It delivers
zero torque when running at 1500 rpm, with 150 + 10X V dc applied
across its terminals. The motor's armature resistance is (2 ++) 0.
You may assume iron and friction losses to be negligible.
Ra
E
Figure 5
For example:
if your number is C1700123, then V = 170V, Ra= 2.20,
if your number is C1700100, then V = 150V, Ra= 2.00,
Question 4b continues on the next page
Transcribed Image Text:Q4. a) Figure 4 depicts a simple DC motor, its armature winding consisting of a single turn of copper wire mounted on the rotor. The rotor core material is omitted for clarity. N Figure 4 (i) Explain from first principles how the motor winding develops a rotational torque. (ii) Explain with reference to faraday's law how a back-emf is produced in the rotor winding. (iii) The direct voltage supply to the armature is replaced with an alternating voltage source operating at 50Hz. Explain why the machine fails to rotate and how this might be remedied In the next question, XY are the last two digits of your student number. For example, if your number is C1700123, X=2 and Y=3. b) Figure 5 shows a simplified electrical circuit of a DC motor. It delivers zero torque when running at 1500 rpm, with 150 + 10X V dc applied across its terminals. The motor's armature resistance is (2 ++) 0. You may assume iron and friction losses to be negligible. Ra E Figure 5 For example: if your number is C1700123, then V = 170V, Ra= 2.20, if your number is C1700100, then V = 150V, Ra= 2.00, Question 4b continues on the next page
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