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The total load taken from an a.c. supply consists of
A- a heating load of 15 kW
B- a motor load of 40 kVA at p.f. 0.6 lagging
C- a load of 20 kW at p.f. 0.8 lagging
A capacitor is connected in parallel with load and p.f. raised to unity. The kVAR rating of the capacitor should be
A- a heating load of 15 kW
B- a motor load of 40 kVA at p.f. 0.6 lagging
C- a load of 20 kW at p.f. 0.8 lagging
A capacitor is connected in parallel with load and p.f. raised to unity. The kVAR rating of the capacitor should be
- a)112 kVAR
- b)92 kVAR
- c)55 kVAR
- d)47 kVAR
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
The total load taken from an a.c. supply consists ofA- a heating load ...
The parallel loads draw a total reactive power of 47 kVAR lagging. In order to raise the p.f. to unity, the capacitor should supply leading reactive power of 47 kVAR.
Most Upvoted Answer
The total load taken from an a.c. supply consists ofA- a heating load ...
Given:
Load 1: Heating load = 15 kW
Load 2: Motor load = 40 kVA at a power factor (p.f.) of 0.6 lagging
Load 3: Load = 20 kW at a p.f. of 0.8 lagging
To find:
The kVAR rating of the capacitor required to raise the power factor to unity.
Solution:
The total load taken from the AC supply is the sum of the individual loads. To find the total load, we need to convert the motor load from kVA to kW.
Conversion of Motor Load:
The real power (kW) can be obtained using the formula:
Real Power (kW) = Apparent Power (kVA) × Power Factor
Given that the motor load is 40 kVA with a power factor of 0.6 lagging, we can calculate the real power as follows:
Real Power (kW) = 40 kVA × 0.6 = 24 kW
Therefore, the motor load is 24 kW.
Total Load Calculation:
The total load is the sum of the individual loads:
Total Load = Heating Load + Motor Load + Load 3
Total Load = 15 kW + 24 kW + 20 kW
Total Load = 59 kW
Calculating the Reactive Power:
Reactive power (kVAR) can be calculated using the formula:
Reactive Power (kVAR) = Real Power (kW) × tan(θ)
For Load 3, the reactive power can be calculated as follows:
Reactive Power (kVAR) = 20 kW × tan(cos^(-1)(0.8))
Reactive Power (kVAR) = 20 kW × tan(36.87°)
Reactive Power (kVAR) ≈ 11.47 kVAR
Calculating the Capacitor kVAR Rating:
The capacitor is connected in parallel with the load to raise the power factor to unity. This means that the reactive power should be completely compensated.
The kVAR rating of the capacitor required can be calculated as the negative of the reactive power calculated above:
Capacitor kVAR Rating = -Reactive Power (kVAR)
Capacitor kVAR Rating = -11.47 kVAR ≈ 11.47 kVAR
Therefore, the kVAR rating of the capacitor required to raise the power factor to unity is approximately 11.47 kVAR, which is closest to option 'D' (47 kVAR).
Hence, the correct answer is option 'D' (47 kVAR).
Load 1: Heating load = 15 kW
Load 2: Motor load = 40 kVA at a power factor (p.f.) of 0.6 lagging
Load 3: Load = 20 kW at a p.f. of 0.8 lagging
To find:
The kVAR rating of the capacitor required to raise the power factor to unity.
Solution:
The total load taken from the AC supply is the sum of the individual loads. To find the total load, we need to convert the motor load from kVA to kW.
Conversion of Motor Load:
The real power (kW) can be obtained using the formula:
Real Power (kW) = Apparent Power (kVA) × Power Factor
Given that the motor load is 40 kVA with a power factor of 0.6 lagging, we can calculate the real power as follows:
Real Power (kW) = 40 kVA × 0.6 = 24 kW
Therefore, the motor load is 24 kW.
Total Load Calculation:
The total load is the sum of the individual loads:
Total Load = Heating Load + Motor Load + Load 3
Total Load = 15 kW + 24 kW + 20 kW
Total Load = 59 kW
Calculating the Reactive Power:
Reactive power (kVAR) can be calculated using the formula:
Reactive Power (kVAR) = Real Power (kW) × tan(θ)
For Load 3, the reactive power can be calculated as follows:
Reactive Power (kVAR) = 20 kW × tan(cos^(-1)(0.8))
Reactive Power (kVAR) = 20 kW × tan(36.87°)
Reactive Power (kVAR) ≈ 11.47 kVAR
Calculating the Capacitor kVAR Rating:
The capacitor is connected in parallel with the load to raise the power factor to unity. This means that the reactive power should be completely compensated.
The kVAR rating of the capacitor required can be calculated as the negative of the reactive power calculated above:
Capacitor kVAR Rating = -Reactive Power (kVAR)
Capacitor kVAR Rating = -11.47 kVAR ≈ 11.47 kVAR
Therefore, the kVAR rating of the capacitor required to raise the power factor to unity is approximately 11.47 kVAR, which is closest to option 'D' (47 kVAR).
Hence, the correct answer is option 'D' (47 kVAR).
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The total load taken from an a.c. supply consists ofA- a heating load of 15 kWB- a motor load of 40 kVA at p.f. 0.6 laggingC- a load of 20 kW at p.f. 0.8 laggingA capacitor is connected in parallel with load and p.f. raised to unity. The kVAR rating of the capacitor should bea)112 kVARb)92 kVARc)55 kVARd)47 kVARCorrect answer is option 'D'. Can you explain this answer?
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The total load taken from an a.c. supply consists ofA- a heating load of 15 kWB- a motor load of 40 kVA at p.f. 0.6 laggingC- a load of 20 kW at p.f. 0.8 laggingA capacitor is connected in parallel with load and p.f. raised to unity. The kVAR rating of the capacitor should bea)112 kVARb)92 kVARc)55 kVARd)47 kVARCorrect answer is option 'D'. 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 The total load taken from an a.c. supply consists ofA- a heating load of 15 kWB- a motor load of 40 kVA at p.f. 0.6 laggingC- a load of 20 kW at p.f. 0.8 laggingA capacitor is connected in parallel with load and p.f. raised to unity. The kVAR rating of the capacitor should bea)112 kVARb)92 kVARc)55 kVARd)47 kVARCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The total load taken from an a.c. supply consists ofA- a heating load of 15 kWB- a motor load of 40 kVA at p.f. 0.6 laggingC- a load of 20 kW at p.f. 0.8 laggingA capacitor is connected in parallel with load and p.f. raised to unity. The kVAR rating of the capacitor should bea)112 kVARb)92 kVARc)55 kVARd)47 kVARCorrect answer is option 'D'. Can you explain this answer?.
The total load taken from an a.c. supply consists ofA- a heating load of 15 kWB- a motor load of 40 kVA at p.f. 0.6 laggingC- a load of 20 kW at p.f. 0.8 laggingA capacitor is connected in parallel with load and p.f. raised to unity. The kVAR rating of the capacitor should bea)112 kVARb)92 kVARc)55 kVARd)47 kVARCorrect answer is option 'D'. 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 The total load taken from an a.c. supply consists ofA- a heating load of 15 kWB- a motor load of 40 kVA at p.f. 0.6 laggingC- a load of 20 kW at p.f. 0.8 laggingA capacitor is connected in parallel with load and p.f. raised to unity. The kVAR rating of the capacitor should bea)112 kVARb)92 kVARc)55 kVARd)47 kVARCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The total load taken from an a.c. supply consists ofA- a heating load of 15 kWB- a motor load of 40 kVA at p.f. 0.6 laggingC- a load of 20 kW at p.f. 0.8 laggingA capacitor is connected in parallel with load and p.f. raised to unity. The kVAR rating of the capacitor should bea)112 kVARb)92 kVARc)55 kVARd)47 kVARCorrect answer is option 'D'. Can you explain this answer?.
Solutions for The total load taken from an a.c. supply consists ofA- a heating load of 15 kWB- a motor load of 40 kVA at p.f. 0.6 laggingC- a load of 20 kW at p.f. 0.8 laggingA capacitor is connected in parallel with load and p.f. raised to unity. The kVAR rating of the capacitor should bea)112 kVARb)92 kVARc)55 kVARd)47 kVARCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for SSC.
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The total load taken from an a.c. supply consists ofA- a heating load of 15 kWB- a motor load of 40 kVA at p.f. 0.6 laggingC- a load of 20 kW at p.f. 0.8 laggingA capacitor is connected in parallel with load and p.f. raised to unity. The kVAR rating of the capacitor should bea)112 kVARb)92 kVARc)55 kVARd)47 kVARCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for The total load taken from an a.c. supply consists ofA- a heating load of 15 kWB- a motor load of 40 kVA at p.f. 0.6 laggingC- a load of 20 kW at p.f. 0.8 laggingA capacitor is connected in parallel with load and p.f. raised to unity. The kVAR rating of the capacitor should bea)112 kVARb)92 kVARc)55 kVARd)47 kVARCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of The total load taken from an a.c. supply consists ofA- a heating load of 15 kWB- a motor load of 40 kVA at p.f. 0.6 laggingC- a load of 20 kW at p.f. 0.8 laggingA capacitor is connected in parallel with load and p.f. raised to unity. The kVAR rating of the capacitor should bea)112 kVARb)92 kVARc)55 kVARd)47 kVARCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The total load taken from an a.c. supply consists ofA- a heating load of 15 kWB- a motor load of 40 kVA at p.f. 0.6 laggingC- a load of 20 kW at p.f. 0.8 laggingA capacitor is connected in parallel with load and p.f. raised to unity. The kVAR rating of the capacitor should bea)112 kVARb)92 kVARc)55 kVARd)47 kVARCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice SSC tests.
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