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The average motor load of a consumer is 250 kW at a power factor 0.85 lag. The consumer is charged electricity at the tariff of Rs.50/kVA of maximum demand plus 10 paise per unit consumed. Determine the consumer’s annual bill for a load factor of 70%
- a)Rs. 158005.5
- b)Rs. 163005.5
- c)Rs.153300
- d)Rs.168005.5
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
The average motor load of a consumer is 250 kW at a power factor 0.85 ...
Consumer motor load = 250 kW
Maximum demand = 250/0.85 = 294.11
Unit consumed per year = maximum demand × load factor × hours in a year
= 250 × 0.7 × 8760 = 1533000 kWh
Annual bill = Max demand charges + energy charges
= (294.11 × 50) + (1533000 × 0.1) = Rs. 168005.5
Most Upvoted Answer
The average motor load of a consumer is 250 kW at a power factor 0.85 ...
First, we need to calculate the apparent power (kVA) of the motor load. The formula for apparent power is:
Apparent Power (kVA) = Real Power (kW) / Power Factor
Apparent Power = 250 kW / 0.85 = 294.12 kVA
Next, we need to calculate the maximum demand charge. The maximum demand charge is based on the maximum apparent power used during a billing cycle. In this case, the maximum demand charge is calculated as:
Maximum Demand Charge = Maximum Apparent Power (kVA) * Tariff Rate (Rs./kVA)
Let's assume the maximum apparent power is 300 kVA and the tariff rate is Rs.50/kVA.
Maximum Demand Charge = 300 kVA * Rs.50/kVA = Rs.15,000
Finally, we need to calculate the energy charge. The energy charge is based on the actual units of electricity consumed during a billing cycle. In this case, the energy charge is calculated as:
Energy Charge = Units Consumed * Tariff Rate (Rs./unit)
Let's assume the consumer has consumed 1000 units and the tariff rate is 10 paise per unit.
Energy Charge = 1000 units * Rs.0.10/unit = Rs.100
Therefore, the total charge for the consumer would be the sum of the maximum demand charge and the energy charge:
Total Charge = Maximum Demand Charge + Energy Charge
Total Charge = Rs.15,000 + Rs.100
Total Charge = Rs.15,100
Apparent Power (kVA) = Real Power (kW) / Power Factor
Apparent Power = 250 kW / 0.85 = 294.12 kVA
Next, we need to calculate the maximum demand charge. The maximum demand charge is based on the maximum apparent power used during a billing cycle. In this case, the maximum demand charge is calculated as:
Maximum Demand Charge = Maximum Apparent Power (kVA) * Tariff Rate (Rs./kVA)
Let's assume the maximum apparent power is 300 kVA and the tariff rate is Rs.50/kVA.
Maximum Demand Charge = 300 kVA * Rs.50/kVA = Rs.15,000
Finally, we need to calculate the energy charge. The energy charge is based on the actual units of electricity consumed during a billing cycle. In this case, the energy charge is calculated as:
Energy Charge = Units Consumed * Tariff Rate (Rs./unit)
Let's assume the consumer has consumed 1000 units and the tariff rate is 10 paise per unit.
Energy Charge = 1000 units * Rs.0.10/unit = Rs.100
Therefore, the total charge for the consumer would be the sum of the maximum demand charge and the energy charge:
Total Charge = Maximum Demand Charge + Energy Charge
Total Charge = Rs.15,000 + Rs.100
Total Charge = Rs.15,100
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The average motor load of a consumer is 250 kW at a power factor 0.85 lag. The consumer is charged electricity at the tariff of Rs.50/kVA of maximum demand plus 10 paise per unit consumed. Determine the consumer’s annual bill for a load factor of 70%a)Rs. 158005.5b)Rs. 163005.5c)Rs.153300d)Rs.168005.5Correct answer is option 'D'. Can you explain this answer?
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