Kilowatt-hours to Watt-hours conversion

How to convert kilowatt-hours to watt-hours?

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Conversion from Kilowatt-hours to Watt-hours

A kilowatt-hour (kWh) is a unit of energy that is commonly used in electricity billing. To convert kilowatt-hours to watt-hours, you use the following relationship:

1 kilowatt (kW) = 1,000 watts (W).

So, 1 kilowatt-hour (kWh) is equivalent to 1,000 watt-hours (Wh).

Therefore: $1 \, \text{kWh} = 1 \, \text{kW} \times 1 \, \text{hour} = 1,000 \, \text{Wh}$

Calculation Example:

If you have 1 kWh of energy, you can convert it to watt-hours as follows: $1 \, \text{kWh} \times 1,000 \, \frac{\text{Wh}}{\text{kWh}} = 1,000 \, \text{Wh}$

Real-world Examples of Kilowatt-hours Usage:

1. Household Appliances:

   • A 100-watt light bulb running for 10 hours consumes: $100 \, \text{W} \times 10 \, \text{hours} = 1,000 \, \text{Wh} = 1 \, \text{kWh}$

2. Refrigerator:

   • A modern refrigerator typically uses about 1 to 2 kWh per day.
   • Over a month (30 days), a refrigerator using 1.5 kWh/day would consume: $1.5 \, \text{kWh/day} \times 30 \, \text{days} = 45 \, \text{kWh}$

3. Electric Car Charging:

   • An electric vehicle might use around 30 kWh to fully charge.
   • If you charge it once per week, you'd use: $30 \, \text{kWh/week} \times 4 \, \text{weeks} = 120 \, \text{kWh/month}$

4. Air Conditioner:

   • A typical central air conditioner might use about 3 kWh per hour.
   • If you run it for 4 hours a day over a month: $3 \, \text{kWh/hour} \times 4 \, \text{hours/day} \times 30 \, \text{days} = 360 \, \text{kWh}$

Summary

Understanding kilowatt-hours and their conversion to watt-hours helps in measuring and planning energy consumption for various appliances and tools. It also aids in interpreting electricity bills and making energy-efficient choices.