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Two 1-phase AC motors A and B, operate from a 1000V supply. A consumes 2kW at a power factor of 0.8 (lagging), and B consumes 1 kW at a power factor of 0.5 (lagging). The total current drawn from the supply is approximate-
  • a)
    4.5 A
  • b)
    2.1 A
  • c)
    4.41 A
  • d)
    9 A
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Two 1-phase AC motors A and B, operate from a 1000V supply. A consume...
I = I1I2 = 2.52
I = 4.5A
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Most Upvoted Answer
Two 1-phase AC motors A and B, operate from a 1000V supply. A consume...
Given data:
- Voltage supply: 1000V
- Motor A:
- Power consumption: 2kW
- Power factor: 0.8 (lagging)
- Motor B:
- Power consumption: 1kW
- Power factor: 0.5 (lagging)

Calculating the current drawn by each motor:
The formula to calculate the current drawn by a single-phase AC motor is:
Current (I) = Power (P) / (Voltage (V) * Power factor (PF))

For Motor A:
Power (P) = 2kW = 2000W
Voltage (V) = 1000V
Power factor (PF) = 0.8 (lagging)

Substituting the values in the formula:
I(A) = 2000 / (1000 * 0.8)
I(A) = 2.5A

For Motor B:
Power (P) = 1kW = 1000W
Voltage (V) = 1000V
Power factor (PF) = 0.5 (lagging)

Substituting the values in the formula:
I(B) = 1000 / (1000 * 0.5)
I(B) = 2A

Total current drawn from the supply:
To find the total current drawn from the supply, we need to add the currents drawn by both motors.

I(total) = I(A) + I(B)
I(total) = 2.5A + 2A
I(total) = 4.5A

Hence, the approximate total current drawn from the supply is 4.5A. Therefore, option 'A' is the correct answer.
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Two 1-phase AC motors A and B, operate from a 1000V supply. A consumes 2kW at a power factor of 0.8 (lagging), and B consumes 1 kW at a power factor of 0.5 (lagging). The total current drawn from the supply is approximate-a)4.5 Ab)2.1 Ac)4.41 Ad)9 ACorrect answer is option 'A'. Can you explain this answer?
Question Description
Two 1-phase AC motors A and B, operate from a 1000V supply. A consumes 2kW at a power factor of 0.8 (lagging), and B consumes 1 kW at a power factor of 0.5 (lagging). The total current drawn from the supply is approximate-a)4.5 Ab)2.1 Ac)4.41 Ad)9 ACorrect answer is option 'A'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about Two 1-phase AC motors A and B, operate from a 1000V supply. A consumes 2kW at a power factor of 0.8 (lagging), and B consumes 1 kW at a power factor of 0.5 (lagging). The total current drawn from the supply is approximate-a)4.5 Ab)2.1 Ac)4.41 Ad)9 ACorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two 1-phase AC motors A and B, operate from a 1000V supply. A consumes 2kW at a power factor of 0.8 (lagging), and B consumes 1 kW at a power factor of 0.5 (lagging). The total current drawn from the supply is approximate-a)4.5 Ab)2.1 Ac)4.41 Ad)9 ACorrect answer is option 'A'. Can you explain this answer?.
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