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A factory takes a steady load of 200 kW at a lagging power factor of 0.8. The tariff is Rs. 100 per kVA of maximum demand per annum plus 5 paise per kWh. The phase advancing plant costs Rs. 500 per kVAR and the annual interest and depreciation together amount to 10%. What is the capacity of the phase advancing plant?
- a)25.82 kVAR
- b)105.62 kVAR
- c)34.52 kVAR
- d)61.82 kVAR
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A factory takes a steady load of 200 kW at a lagging power factor of 0...
Capacity of phase advancing plant
=P[tanϕ1-tanϕ2]
= 200[0.75 - 0.5774]
= 34.52 kVAR
=P[tanϕ1-tanϕ2]
= 200[0.75 - 0.5774]
= 34.52 kVAR
Most Upvoted Answer
A factory takes a steady load of 200 kW at a lagging power factor of 0...
Given data:
Steady load = 200 kW
Power factor = 0.8 lagging
Tariff = Rs. 100 per kVA of maximum demand per annum + 5 paise per kWh
Cost of phase advancing plant = Rs. 500 per kVAR
Annual interest and depreciation = 10%
To calculate the capacity of the phase advancing plant, we need to follow the below steps:
Step 1: Calculate the apparent power (kVA) of the load
Apparent power (S) = Real power (P) / Power factor (cos Φ)
Here, P = 200 kW and cos Φ = 0.8 lagging
So, S = 200 / 0.8 = 250 kVA
Step 2: Calculate the maximum demand (MD) and energy consumption
MD = Apparent power (S) = 250 kVA
Energy consumption = Real power (P) x Time
Assuming 720 hours per month, energy consumption = 200 x 720 = 144000 kWh
Step 3: Calculate the annual cost of maximum demand
Annual cost of maximum demand = MD x Tariff
= 250 x Rs. 100 = Rs. 25000
Step 4: Calculate the annual cost of energy consumption
Annual cost of energy consumption = Energy consumption x Tariff
= 144000 x 0.05 = Rs. 7200
Step 5: Calculate the total annual cost
Total annual cost = Annual cost of maximum demand + Annual cost of energy consumption
= Rs. 25000 + Rs. 7200 = Rs. 32200
Step 6: Calculate the required kVAR of the phase advancing plant
Let the required kVAR of the phase advancing plant be x
Cost of the phase advancing plant = Rs. 500 per kVAR
Annual interest and depreciation = 10%
So, annual cost of the phase advancing plant = (x x 500) x 1.1
Equating the annual cost of the phase advancing plant to the total annual cost, we get:
(x x 500) x 1.1 = Rs. 32200
x = 34.52 kVAR
Hence, the capacity of the phase advancing plant is 34.52 kVAR (option C).
Steady load = 200 kW
Power factor = 0.8 lagging
Tariff = Rs. 100 per kVA of maximum demand per annum + 5 paise per kWh
Cost of phase advancing plant = Rs. 500 per kVAR
Annual interest and depreciation = 10%
To calculate the capacity of the phase advancing plant, we need to follow the below steps:
Step 1: Calculate the apparent power (kVA) of the load
Apparent power (S) = Real power (P) / Power factor (cos Φ)
Here, P = 200 kW and cos Φ = 0.8 lagging
So, S = 200 / 0.8 = 250 kVA
Step 2: Calculate the maximum demand (MD) and energy consumption
MD = Apparent power (S) = 250 kVA
Energy consumption = Real power (P) x Time
Assuming 720 hours per month, energy consumption = 200 x 720 = 144000 kWh
Step 3: Calculate the annual cost of maximum demand
Annual cost of maximum demand = MD x Tariff
= 250 x Rs. 100 = Rs. 25000
Step 4: Calculate the annual cost of energy consumption
Annual cost of energy consumption = Energy consumption x Tariff
= 144000 x 0.05 = Rs. 7200
Step 5: Calculate the total annual cost
Total annual cost = Annual cost of maximum demand + Annual cost of energy consumption
= Rs. 25000 + Rs. 7200 = Rs. 32200
Step 6: Calculate the required kVAR of the phase advancing plant
Let the required kVAR of the phase advancing plant be x
Cost of the phase advancing plant = Rs. 500 per kVAR
Annual interest and depreciation = 10%
So, annual cost of the phase advancing plant = (x x 500) x 1.1
Equating the annual cost of the phase advancing plant to the total annual cost, we get:
(x x 500) x 1.1 = Rs. 32200
x = 34.52 kVAR
Hence, the capacity of the phase advancing plant is 34.52 kVAR (option C).
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A factory takes a steady load of 200 kW at a lagging power factor of 0.8. The tariff is Rs. 100 per kVA of maximum demand per annum plus 5 paise per kWh. The phase advancing plant costs Rs. 500 per kVAR and the annual interest and depreciation together amount to 10%. What is the capacity of the phase advancing plant?a)25.82 kVARb)105.62 kVARc)34.52 kVARd)61.82 kVARCorrect answer is option 'C'. Can you explain this answer?
Question Description
A factory takes a steady load of 200 kW at a lagging power factor of 0.8. The tariff is Rs. 100 per kVA of maximum demand per annum plus 5 paise per kWh. The phase advancing plant costs Rs. 500 per kVAR and the annual interest and depreciation together amount to 10%. What is the capacity of the phase advancing plant?a)25.82 kVARb)105.62 kVARc)34.52 kVARd)61.82 kVARCorrect answer is option 'C'. 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 A factory takes a steady load of 200 kW at a lagging power factor of 0.8. The tariff is Rs. 100 per kVA of maximum demand per annum plus 5 paise per kWh. The phase advancing plant costs Rs. 500 per kVAR and the annual interest and depreciation together amount to 10%. What is the capacity of the phase advancing plant?a)25.82 kVARb)105.62 kVARc)34.52 kVARd)61.82 kVARCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A factory takes a steady load of 200 kW at a lagging power factor of 0.8. The tariff is Rs. 100 per kVA of maximum demand per annum plus 5 paise per kWh. The phase advancing plant costs Rs. 500 per kVAR and the annual interest and depreciation together amount to 10%. What is the capacity of the phase advancing plant?a)25.82 kVARb)105.62 kVARc)34.52 kVARd)61.82 kVARCorrect answer is option 'C'. Can you explain this answer?.
A factory takes a steady load of 200 kW at a lagging power factor of 0.8. The tariff is Rs. 100 per kVA of maximum demand per annum plus 5 paise per kWh. The phase advancing plant costs Rs. 500 per kVAR and the annual interest and depreciation together amount to 10%. What is the capacity of the phase advancing plant?a)25.82 kVARb)105.62 kVARc)34.52 kVARd)61.82 kVARCorrect answer is option 'C'. 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 A factory takes a steady load of 200 kW at a lagging power factor of 0.8. The tariff is Rs. 100 per kVA of maximum demand per annum plus 5 paise per kWh. The phase advancing plant costs Rs. 500 per kVAR and the annual interest and depreciation together amount to 10%. What is the capacity of the phase advancing plant?a)25.82 kVARb)105.62 kVARc)34.52 kVARd)61.82 kVARCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A factory takes a steady load of 200 kW at a lagging power factor of 0.8. The tariff is Rs. 100 per kVA of maximum demand per annum plus 5 paise per kWh. The phase advancing plant costs Rs. 500 per kVAR and the annual interest and depreciation together amount to 10%. What is the capacity of the phase advancing plant?a)25.82 kVARb)105.62 kVARc)34.52 kVARd)61.82 kVARCorrect answer is option 'C'. Can you explain this answer?.
Solutions for A factory takes a steady load of 200 kW at a lagging power factor of 0.8. The tariff is Rs. 100 per kVA of maximum demand per annum plus 5 paise per kWh. The phase advancing plant costs Rs. 500 per kVAR and the annual interest and depreciation together amount to 10%. What is the capacity of the phase advancing plant?a)25.82 kVARb)105.62 kVARc)34.52 kVARd)61.82 kVARCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for SSC.
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ample number of questions to practice A factory takes a steady load of 200 kW at a lagging power factor of 0.8. The tariff is Rs. 100 per kVA of maximum demand per annum plus 5 paise per kWh. The phase advancing plant costs Rs. 500 per kVAR and the annual interest and depreciation together amount to 10%. What is the capacity of the phase advancing plant?a)25.82 kVARb)105.62 kVARc)34.52 kVARd)61.82 kVARCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice SSC tests.
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