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Zorluk: OrtaElectrical Energy and Power

An electric iron rated at 1200 W1200\,\text{W} is operated for 5 hours5\,\text{hours} each day for a period of 30 days30\,\text{days}. If electrical energy costs ₦20.00\text{₦}20.00 per kilowatt-hour (kWh\text{kWh}), what is the total cost of electricity consumed by the iron over this period in Naira (₦\text{₦})?

Cevap: 3600 Naira

Cevap

The total cost of electricity consumed by the iron over the 30-day period is 3600 Naira.
To find the cost of electrical energy in commercial units, express power in kilowatts (1.2 kW1.2\,\text{kW}) and time in total hours (150 h150\,\text{h}). The energy consumed is 1.2×150=180 kWh1.2 \times 150 = 180\,\text{kWh}. At a tariff of ₦20.00\text{₦}20.00 per kWh\text{kWh}, the total cost is 180×20=3600 Naira180 \times 20 = 3600\,\text{Naira}.

Adım Adım Çözüm

1
Convert the power rating of the appliance from watts to kilowatts
P=1200 W1000=1.2 kWP = \frac{1200\,\text{W}}{1000} = 1.2\,\text{kW}
Commercial energy consumption is calculated in kilowatt-hours (kWh), requiring power in kilowatts.
2
Calculate the total operating time in hours
t=5 hours/day×30 days=150 hourst = 5\,\text{hours/day} \times 30\,\text{days} = 150\,\text{hours}
The usage duration across the month must be expressed in total hours.
3
Determine electrical energy consumed in kWh
E=P×t=1.2 kW×150 h=180 kWhE = P \times t = 1.2\,\text{kW} \times 150\,\text{h} = 180\,\text{kWh}
Energy is the product of power in kilowatts and time in hours.
4
Calculate total cost of energy consumed
Total Cost=180 kWh×₦20.00/kWh=₦3600\text{Total Cost} = 180\,\text{kWh} \times \text{₦}20.00/\text{kWh} = \text{₦}3600
Total cost is found by multiplying energy in kWh by the unit tariff rate.

Anahtar Kavram

Commercial electrical energy unit (kWh) and billing calculation
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Electrical Energy and Power

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