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What is the increase in the torque expressed as percentage of initial torque, if the current drawn by a dc series motor is increased from 10 A to 12 A (Neglect saturation)? (Answer up to the nearest integer)
Correct answer is '44'. Can you explain this answer?
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What is the increase in the torque expressed as percentage of initial ...
For a dc series motor T ∝ Ia2
or T2 = 1.44 T1
the percentage increment in torque is
ΔT = 44%
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What is the increase in the torque expressed as percentage of initial ...
Understanding DC Series Motor Torque
In a DC series motor, the torque is directly proportional to the armature current (Ia) and the field current (If). Since the field winding is in series with the armature, the field current is the same as the armature current.
Torque Formula
The torque (T) in a DC series motor can be expressed as:
- T ∝ Ia × If
Since If = Ia for a series motor:
- T ∝ Ia²
Calculating Initial and Final Torque
1. Initial Current:
- Ia_initial = 10 A
- T_initial ∝ (10 A)² = 100
2. Final Current:
- Ia_final = 12 A
- T_final ∝ (12 A)² = 144
Percentage Increase in Torque
To find the increase in torque as a percentage of the initial torque:
- Increase in Torque = T_final - T_initial
- Increase in Torque = 144 - 100 = 44
Percentage Increase Calculation
Now, calculate the percentage increase:
- Percentage Increase = (Increase in Torque / T_initial) × 100
- Percentage Increase = (44 / 100) × 100 = 44%
Conclusion
Thus, the increase in torque when the current is increased from 10 A to 12 A is 44% of the initial torque, confirming that the answer is correct. This highlights the strong relationship between current and torque in a DC series motor, where even a small increase in current leads to a significant rise in torque.
In a DC series motor, the torque is directly proportional to the armature current (Ia) and the field current (If). Since the field winding is in series with the armature, the field current is the same as the armature current.
Torque Formula
The torque (T) in a DC series motor can be expressed as:
- T ∝ Ia × If
Since If = Ia for a series motor:
- T ∝ Ia²
Calculating Initial and Final Torque
1. Initial Current:
- Ia_initial = 10 A
- T_initial ∝ (10 A)² = 100
2. Final Current:
- Ia_final = 12 A
- T_final ∝ (12 A)² = 144
Percentage Increase in Torque
To find the increase in torque as a percentage of the initial torque:
- Increase in Torque = T_final - T_initial
- Increase in Torque = 144 - 100 = 44
Percentage Increase Calculation
Now, calculate the percentage increase:
- Percentage Increase = (Increase in Torque / T_initial) × 100
- Percentage Increase = (44 / 100) × 100 = 44%
Conclusion
Thus, the increase in torque when the current is increased from 10 A to 12 A is 44% of the initial torque, confirming that the answer is correct. This highlights the strong relationship between current and torque in a DC series motor, where even a small increase in current leads to a significant rise in torque.
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What is the increase in the torque expressed as percentage of initial torque, if the current drawn by a dc series motor is increased from 10 A to 12 A (Neglect saturation)? (Answer up to the nearest integer)Correct answer is '44'. Can you explain this answer?
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What is the increase in the torque expressed as percentage of initial torque, if the current drawn by a dc series motor is increased from 10 A to 12 A (Neglect saturation)? (Answer up to the nearest integer)Correct answer is '44'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about What is the increase in the torque expressed as percentage of initial torque, if the current drawn by a dc series motor is increased from 10 A to 12 A (Neglect saturation)? (Answer up to the nearest integer)Correct answer is '44'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the increase in the torque expressed as percentage of initial torque, if the current drawn by a dc series motor is increased from 10 A to 12 A (Neglect saturation)? (Answer up to the nearest integer)Correct answer is '44'. Can you explain this answer?.
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