Ten 100 W light bulb burns on an average of 10 hours a day for one week. The weekly consumption of energy will be ____ units.
Show Hint
Think of a "unit" as keeping a 1000-Watt appliance (like a small heater) running for exactly one hour. Here, your 10 bulbs combined act like that 1000-Watt appliance.
Step 1: Understanding the Concept:
Electrical energy consumption is measured in "units." In commercial and domestic billing, 1 unit is equivalent to 1 kilo-Watt-hour (kWh). Step 2: Key Formula or Approach:
\[ \text{Energy (units)} = \frac{\text{Total Power (Watts)} \times \text{Time (Hours)}}{1000} \] Step 3: Detailed Explanation:
1. Total Power: There are 10 bulbs of 100 W each.
\[ \text{Total Power} = 10 \times 100 = 1000\text{ W} = 1\text{ kW} \]
2. Total Time in a week: 10 hours a day for 7 days.
\[ \text{Total Hours} = 10 \times 7 = 70\text{ hours} \]
3. Energy Calculation:
\[ \text{Energy} = 1\text{ kW} \times 70\text{ hours} = 70\text{ kWh} \]
Since $1\text{ kWh} = 1\text{ unit}$, the consumption is 70 units. Step 4: Final Answer:
The weekly consumption of energy is 70 units.