Energy billing calculation: If a device uses 600 W of electric power continuously for 60 hours, how much electrical energy is consumed in kilowatt-hours (kWh)?
Electrical Engineering
Energy and Power
Difficulty: Easy
Choose an option
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A36 kWh
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B3.6 kWh
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C10 kWh
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D1 kWh
Answer
Correct Answer: 36 kWh
Explanation
Introduction / Context:Utilities bill energy in kilowatt-hours. Converting power usage over time to kWh is an essential practical skill for estimating electricity costs and comparing the efficiency of appliances and power supplies.
Given Data / Assumptions:
- Power P = 600 W.
- Operating time t = 60 h.
- We assume constant power over the interval.
Concept / Approach:Energy in kWh is computed as (power in kW) * (time in hours). Convert watts to kilowatts by dividing by 1,000, then multiply by hours of operation.
Step-by-Step Solution:
Convert power: 600 W = 0.6 kW.Multiply by time: 0.6 kW * 60 h = 36 kWh.Thus, the total energy consumed is 36 kWh.Verification / Alternative check:Compute in watt-hours: 600 W * 60 h = 36,000 Wh. Convert to kWh by dividing by 1,000 → 36 kWh. Both methods agree.
Why Other Options Are Wrong:
- 3.6 kWh: Off by a factor of 10 (would match 600 W for 6 h).
- 10 kWh and 1 kWh: Result from incorrect time or power conversion assumptions.
Common Pitfalls:
- Forgetting to convert W to kW or misreading hours vs minutes.
Final Answer:36 kWh