NECO 2000 Physics · Question 22
An electric iron rated 250 V has a coil of resistance 125Ω. What is the cost of using it for I hour at 10k per kWh?
Options
- A.1.25k
- B.2.50k
- C.5.00k
- D.10.00k
- E.20.00k
Answer: C. 5.00k
Explanation written with AI and checked against the answer key
Analyze the question: We need the electrical energy used by the iron in 1 hour, then multiply by the cost per kWh.
Concept:
- Power: P = V²/R
- Energy (kWh) = Power (kW) × time (h)
- Cost = Energy × rate
Solution:
- Power of the iron: P = V²/R = (250)² / 125 = 62,500 / 125 = 500 W = 0.5 kW
- Energy used in 1 hour: E = 0.5 kW × 1 h = 0.5 kWh
- Cost at 10k per kWh: Cost = 0.5 × 10k = 5.00k
Tip: When you see a voltage and a resistance, go straight to P = V²/R. Then convert watts to kilowatts (divide by 1000) before multiplying by the time in hours and the rate. Most mistakes in these questions come from forgetting that conversion.
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