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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?
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:
- Heating load = 15 kW
- Motor load = 40 kVA at a power factor of 0.6 lagging
- Load = 20 kW at a power factor of 0.8 lagging
To find:
The kVAR rating of the capacitor to raise the power factor to unity.
Solution:
Step 1: Calculate the total power consumed by the load:
Power consumed by the heating load = 15 kW
Power consumed by the motor load = Apparent power * Power factor = 40 kVA * 0.6 = 24 kW
Power consumed by the load = 20 kW
Total power consumed = 15 kW + 24 kW + 20 kW = 59 kW
Step 2: Calculate the reactive power consumed by the load:
Reactive power consumed by the motor load = Apparent power * sin(θ) = 40 kVA * sin(arccos(0.6)) = 32 kVAR
Reactive power consumed by the load = 20 kW * tan(arccos(0.8)) = 9.798 kVAR
Total reactive power consumed = 32 kVAR + 9.798 kVAR = 41.798 kVAR
Step 3: Calculate the reactive power provided by the capacitor:
Reactive power provided by the capacitor = Total reactive power consumed - Reactive power consumed by the load = 41.798 kVAR - 9.798 kVAR = 32 kVAR
Therefore, the kVAR rating of the capacitor should be 32 kVAR.
Hence, the correct answer is option 'D' (47 kVAR).
- Heating load = 15 kW
- Motor load = 40 kVA at a power factor of 0.6 lagging
- Load = 20 kW at a power factor of 0.8 lagging
To find:
The kVAR rating of the capacitor to raise the power factor to unity.
Solution:
Step 1: Calculate the total power consumed by the load:
Power consumed by the heating load = 15 kW
Power consumed by the motor load = Apparent power * Power factor = 40 kVA * 0.6 = 24 kW
Power consumed by the load = 20 kW
Total power consumed = 15 kW + 24 kW + 20 kW = 59 kW
Step 2: Calculate the reactive power consumed by the load:
Reactive power consumed by the motor load = Apparent power * sin(θ) = 40 kVA * sin(arccos(0.6)) = 32 kVAR
Reactive power consumed by the load = 20 kW * tan(arccos(0.8)) = 9.798 kVAR
Total reactive power consumed = 32 kVAR + 9.798 kVAR = 41.798 kVAR
Step 3: Calculate the reactive power provided by the capacitor:
Reactive power provided by the capacitor = Total reactive power consumed - Reactive power consumed by the load = 41.798 kVAR - 9.798 kVAR = 32 kVAR
Therefore, the kVAR rating of the capacitor should be 32 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? for SSC 2026 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 2026 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?.
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