kWh to Watts Calculator

Convert Kilowatt-Hours (kWh) to Watts

How to Calculate Watts from Kilowatt-Hours (kWh)

Converting kilowatt-hours (kWh) to watts is a fundamental calculation in electrical engineering and power systems. This conversion is essential for understanding the relationship between energy (kWh) and power (watts) in electrical systems. Our calculator simplifies this process, but it's important to understand the underlying principles.

Calculation Formula

The formula to calculate watts from kilowatt-hours is:

\[W = \frac{kWh \times 1000}{t}\]

Where:

  • W is the power in watts
  • kWh is the energy in kilowatt-hours
  • t is the time in hours
  • 1000 is the conversion factor from kilowatts to watts

Calculation Steps

  1. Identify the energy in kilowatt-hours (kWh)
  2. Determine the time period over which the energy was consumed (in hours)
  3. Multiply the kWh value by 1000 to convert to watt-hours
  4. Divide the result by the time to get watts

Example Calculation

Let's convert 10 kWh consumed over 2 hours to watts:

  1. Identify the given values: \[kWh = 10\] \[t = 2 \text{ hours}\]
  2. Apply the formula: \[W = \frac{10 \times 1000}{2} = 5000 \text{ watts}\]

Therefore, 10 kWh consumed over 2 hours is equal to 5000 watts or 5 kilowatts.

Calculation Visualization

kWh kW 10 kWh 5 kW kWh to Watts Comparison

This bar chart visually compares the input energy (10 kWh) and the resulting power (5 kW or 5000 watts) from our example calculation. The height of each bar is proportional to its value, illustrating the relationship between kWh and watts in electrical systems. Note that the actual height difference may vary depending on the scale used.