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Calculate the shaft power of a series motor having the following data; overall efficiency 83.5%, speed 550 r.p.m. when taking 65 A; motor resistance 0.2 Ω, flux per pole 25 mWb, armature winding lap with 1200 conductor?
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Calculate the shaft power of a series motor having the following data;...
Shaft Power Calculation for a Series Motor
Given Data:
- Overall efficiency: 83.5%
- Speed: 550 r.p.m.
- Current: 65 A
- Motor resistance: 0.2 Ω
- Flux per pole: 25 mWb
- Armature winding: lap with 1200 conductors
Step 1: Calculate the Power Input
The power input to the motor can be calculated using the formula:
Power input (P_in) = V × I
Where V is the voltage across the motor terminals and I is the current.
Step 2: Calculate the Voltage across the Motor Terminals
To calculate the voltage across the motor terminals, we can use the formula:
V = E + I × R_a
Where E is the back emf of the motor and R_a is the armature resistance.
Step 3: Calculate the Back EMF
The back emf (E) can be calculated using the formula:
E = P × φ × Z × N / A
Where P is the number of poles, φ is the flux per pole, Z is the number of armature conductors, N is the speed in r.p.m., and A is the number of parallel paths in the armature winding.
Step 4: Calculate the Number of Parallel Paths
The number of parallel paths (A) in the armature winding can be calculated using the formula:
A = Z / 2
Step 5: Calculate the Power Output
The power output (P_out) can be calculated using the formula:
P_out = E × I
Step 6: Calculate the Shaft Power
The shaft power (P_shaft) can be calculated using the formula:
P_shaft = P_out × η
Where η is the overall efficiency of the motor.
Calculation:
Given data:
Overall efficiency (η) = 83.5%
Speed (N) = 550 r.p.m.
Current (I) = 65 A
Motor resistance (R_a) = 0.2 Ω
Flux per pole (φ) = 25 mWb
Number of armature conductors (Z) = 1200
Step 1: Calculate the Power Input
P_in = V × I
Step 2: Calculate the Voltage across the Motor Terminals
V = E + I × R_a
Step 3: Calculate the Back EMF
E = P × φ × Z × N / A
Step 4: Calculate the Number of Parallel Paths
A = Z / 2
Step 5: Calculate the Power Output
P_out = E × I
Step 6: Calculate the Shaft Power
P_shaft = P_out × η
Conclusion:
By following the above steps and using the given data, we can calculate the shaft power of the series motor.
Given Data:
- Overall efficiency: 83.5%
- Speed: 550 r.p.m.
- Current: 65 A
- Motor resistance: 0.2 Ω
- Flux per pole: 25 mWb
- Armature winding: lap with 1200 conductors
Step 1: Calculate the Power Input
The power input to the motor can be calculated using the formula:
Power input (P_in) = V × I
Where V is the voltage across the motor terminals and I is the current.
Step 2: Calculate the Voltage across the Motor Terminals
To calculate the voltage across the motor terminals, we can use the formula:
V = E + I × R_a
Where E is the back emf of the motor and R_a is the armature resistance.
Step 3: Calculate the Back EMF
The back emf (E) can be calculated using the formula:
E = P × φ × Z × N / A
Where P is the number of poles, φ is the flux per pole, Z is the number of armature conductors, N is the speed in r.p.m., and A is the number of parallel paths in the armature winding.
Step 4: Calculate the Number of Parallel Paths
The number of parallel paths (A) in the armature winding can be calculated using the formula:
A = Z / 2
Step 5: Calculate the Power Output
The power output (P_out) can be calculated using the formula:
P_out = E × I
Step 6: Calculate the Shaft Power
The shaft power (P_shaft) can be calculated using the formula:
P_shaft = P_out × η
Where η is the overall efficiency of the motor.
Calculation:
Given data:
Overall efficiency (η) = 83.5%
Speed (N) = 550 r.p.m.
Current (I) = 65 A
Motor resistance (R_a) = 0.2 Ω
Flux per pole (φ) = 25 mWb
Number of armature conductors (Z) = 1200
Step 1: Calculate the Power Input
P_in = V × I
Step 2: Calculate the Voltage across the Motor Terminals
V = E + I × R_a
Step 3: Calculate the Back EMF
E = P × φ × Z × N / A
Step 4: Calculate the Number of Parallel Paths
A = Z / 2
Step 5: Calculate the Power Output
P_out = E × I
Step 6: Calculate the Shaft Power
P_shaft = P_out × η
Conclusion:
By following the above steps and using the given data, we can calculate the shaft power of the series motor.
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Calculate the shaft power of a series motor having the following data; overall efficiency 83.5%, speed 550 r.p.m. when taking 65 A; motor resistance 0.2 Ω, flux per pole 25 mWb, armature winding lap with 1200 conductor?
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Calculate the shaft power of a series motor having the following data; overall efficiency 83.5%, speed 550 r.p.m. when taking 65 A; motor resistance 0.2 Ω, flux per pole 25 mWb, armature winding lap with 1200 conductor? 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 Calculate the shaft power of a series motor having the following data; overall efficiency 83.5%, speed 550 r.p.m. when taking 65 A; motor resistance 0.2 Ω, flux per pole 25 mWb, armature winding lap with 1200 conductor? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Calculate the shaft power of a series motor having the following data; overall efficiency 83.5%, speed 550 r.p.m. when taking 65 A; motor resistance 0.2 Ω, flux per pole 25 mWb, armature winding lap with 1200 conductor?.
Calculate the shaft power of a series motor having the following data; overall efficiency 83.5%, speed 550 r.p.m. when taking 65 A; motor resistance 0.2 Ω, flux per pole 25 mWb, armature winding lap with 1200 conductor? 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 Calculate the shaft power of a series motor having the following data; overall efficiency 83.5%, speed 550 r.p.m. when taking 65 A; motor resistance 0.2 Ω, flux per pole 25 mWb, armature winding lap with 1200 conductor? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Calculate the shaft power of a series motor having the following data; overall efficiency 83.5%, speed 550 r.p.m. when taking 65 A; motor resistance 0.2 Ω, flux per pole 25 mWb, armature winding lap with 1200 conductor?.
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