Kilowatts (kW) to Kilowatt-Hours (kWh) Calculator

How to Convert Kilowatts (kW) to Kilowatt-Hours (kWh)

Converting kilowatts (kW) to kilowatt-hours (kWh) is a fundamental calculation in electrical engineering and energy management. This conversion is essential for understanding energy consumption and calculating electricity costs.

Conversion Formula

The formula to convert kW to kWh is:

\[kWh = kW \times t\]

Where:

• kWh is the energy in kilowatt-hours
• kW is the power in kilowatts
• t is the time in hours

Calculation Steps

1. Determine the power in kilowatts (kW)
2. Identify the time duration in hours
3. Multiply the power (kW) by the time (hours)
4. The result is the energy in kilowatt-hours (kWh)

Example Calculation

Let's convert 5 kW used for 3 hours to kWh:

1. Identify the given values: \[kW = 5\] \[t = 3 \text{ hours}\]
2. Apply the formula: \[kWh = kW \times t = 5 \times 3 = 15\]

Therefore, 5 kW used for 3 hours is equal to 15 kWh of energy consumption.

Calculation Visualization

This bar chart visually compares the input power (5 kW) and the resulting energy consumption (15 kWh) from our example calculation. The height of each bar is proportional to its value, illustrating how power over time results in energy consumption. Note that the kWh value is always the product of the kW value and the time in hours, representing the total energy used over the specified period.