kWh to Ah Calculator

How to Calculate Amp-Hours (Ah) from Kilowatt-Hours (kWh)

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

Calculation Formula

The formula to calculate amp-hours from kilowatt-hours is:

\[Ah = \frac{kWh \times 1000}{V}\]

Where:

• Ah is the charge capacity in amp-hours
• kWh is the energy in kilowatt-hours
• V is the voltage in volts

Calculation Steps

1. Identify the energy in kilowatt-hours (kWh)
2. Determine the voltage of the system in volts (V)
3. Multiply the kWh value by 1000 to convert to watt-hours
4. Divide the result by the voltage to get amp-hours

Example Calculation

Let's convert 5 kWh to Ah at a voltage of 12 V:

1. Identify the given values: \[kWh = 5\] \[V = 12\]
2. Apply the formula: \[Ah = \frac{5 \times 1000}{12} = 416.67 \text{ Ah}\]

Therefore, 5 kWh at 12 V is equal to approximately 416.67 Ah.

Calculation Visualization

This bar chart visually compares the input energy (5 kWh) and the resulting charge capacity (416.67 Ah) from our example calculation. The height of each bar is proportional to its value, illustrating the relationship between kWh and Ah in electrical systems. Note that the actual height difference may vary depending on the scale used.