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If the motor in the previous problem is driven by an active load at 1710 rpm, then the type of chopper suitable for speed control and its duty cycle for an input voltage of 250 V will be respectively
- a)first quadrant and 7.7%
- b)second quadrant and 6.5%
- c)first quadrant and 6.5%
- d)second quadrant and 7.7%
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
If the motor in the previous problem is driven by an active load at 17...
As the motor is running at 1710 rpm its back emf is
Since
therefore current flows in the reverse direction and hence second quadrant chopper will be used with the motor.
Now,
= 230.8 volt
Also, V0 = (1 - α) Vs
or, 230.8 = (1 - α) x 250
or, 1 - α = 0.9232 or α = 0.0768
or, α = 7.68% = 7.7%
Since
therefore current flows in the reverse direction and hence second quadrant chopper will be used with the motor.Now,
= 230.8 volt
Also, V0 = (1 - α) Vs
or, 230.8 = (1 - α) x 250
or, 1 - α = 0.9232 or α = 0.0768
or, α = 7.68% = 7.7%
Most Upvoted Answer
If the motor in the previous problem is driven by an active load at 17...
To determine the type of chopper suitable for speed control and its duty cycle for an input voltage of 250 V, we need to consider the given information and analyze the requirements.
Given:
Motor speed: 1710 rpm
Input voltage: 250 V
Step 1: Calculate the required speed in rad/s
The motor speed in rpm needs to be converted to rad/s:
Motor speed in rad/s = motor speed in rpm × (2π/60)
Motor speed in rad/s = 1710 × (2π/60) ≈ 179.57 rad/s
Step 2: Determine the type of chopper suitable for speed control
The type of chopper suitable for speed control depends on the direction of power flow. If the motor is driven by an active load, it implies that power is flowing from the source to the motor, making it a second-quadrant operation.
Step 3: Calculate the duty cycle
The duty cycle determines the on-time of the chopper switch. It can be calculated using the following formula:
Duty cycle = (motor speed in rad/s)/(input voltage)
Duty cycle = 179.57 rad/s / 250 V ≈ 0.71828 ≈ 71.83%
However, the duty cycle is usually expressed as a percentage, so we multiply the above value by 100 to get the duty cycle as a percentage:
Duty cycle = 71.83%
Step 4: Compare the calculated values with the options
a) First quadrant and 7.7%
b) Second quadrant and 6.5%
c) First quadrant and 6.5%
d) Second quadrant and 7.7%
From the calculations, we can see that the correct answer is option 'd' - Second quadrant and 7.7%.
In summary:
- The type of chopper suitable for speed control is second quadrant.
- The duty cycle for an input voltage of 250 V is 7.7%.
Given:
Motor speed: 1710 rpm
Input voltage: 250 V
Step 1: Calculate the required speed in rad/s
The motor speed in rpm needs to be converted to rad/s:
Motor speed in rad/s = motor speed in rpm × (2π/60)
Motor speed in rad/s = 1710 × (2π/60) ≈ 179.57 rad/s
Step 2: Determine the type of chopper suitable for speed control
The type of chopper suitable for speed control depends on the direction of power flow. If the motor is driven by an active load, it implies that power is flowing from the source to the motor, making it a second-quadrant operation.
Step 3: Calculate the duty cycle
The duty cycle determines the on-time of the chopper switch. It can be calculated using the following formula:
Duty cycle = (motor speed in rad/s)/(input voltage)
Duty cycle = 179.57 rad/s / 250 V ≈ 0.71828 ≈ 71.83%
However, the duty cycle is usually expressed as a percentage, so we multiply the above value by 100 to get the duty cycle as a percentage:
Duty cycle = 71.83%
Step 4: Compare the calculated values with the options
a) First quadrant and 7.7%
b) Second quadrant and 6.5%
c) First quadrant and 6.5%
d) Second quadrant and 7.7%
From the calculations, we can see that the correct answer is option 'd' - Second quadrant and 7.7%.
In summary:
- The type of chopper suitable for speed control is second quadrant.
- The duty cycle for an input voltage of 250 V is 7.7%.
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If the motor in the previous problem is driven by an active load at 1710 rpm, then the type of chopper suitable for speed control and its duty cycle for an input voltage of 250 V will be respectivelya)first quadrant and 7.7%b)second quadrant and 6.5%c)first quadrant and 6.5%d)second quadrant and7.7%Correct answer is option 'D'. Can you explain this answer? for Electrical Engineering (EE) 2025 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about If the motor in the previous problem is driven by an active load at 1710 rpm, then the type of chopper suitable for speed control and its duty cycle for an input voltage of 250 V will be respectivelya)first quadrant and 7.7%b)second quadrant and 6.5%c)first quadrant and 6.5%d)second quadrant and7.7%Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the motor in the previous problem is driven by an active load at 1710 rpm, then the type of chopper suitable for speed control and its duty cycle for an input voltage of 250 V will be respectivelya)first quadrant and 7.7%b)second quadrant and 6.5%c)first quadrant and 6.5%d)second quadrant and7.7%Correct answer is option 'D'. Can you explain this answer?.
If the motor in the previous problem is driven by an active load at 1710 rpm, then the type of chopper suitable for speed control and its duty cycle for an input voltage of 250 V will be respectivelya)first quadrant and 7.7%b)second quadrant and 6.5%c)first quadrant and 6.5%d)second quadrant and7.7%Correct answer is option 'D'. Can you explain this answer? for Electrical Engineering (EE) 2025 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about If the motor in the previous problem is driven by an active load at 1710 rpm, then the type of chopper suitable for speed control and its duty cycle for an input voltage of 250 V will be respectivelya)first quadrant and 7.7%b)second quadrant and 6.5%c)first quadrant and 6.5%d)second quadrant and7.7%Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the motor in the previous problem is driven by an active load at 1710 rpm, then the type of chopper suitable for speed control and its duty cycle for an input voltage of 250 V will be respectivelya)first quadrant and 7.7%b)second quadrant and 6.5%c)first quadrant and 6.5%d)second quadrant and7.7%Correct answer is option 'D'. Can you explain this answer?.
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